Basic Statistics for Business and Economics 6Th Canadian Edition By Linda - Test Bank

Basic Statistics for Business and Economics 6Th Canadian Edition By Linda – Test Bank

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Sample Questions Are Posted Below

Chapter 05

Discrete Probability Distributions

Multiple Choice Questions

i. A random variable is assigned numerical values based on the outcomes of an experiment.
ii. A random variable is a quantity resulting from a random experiment that can assume different values by chance.
iii. The mean of a probability distribution is referred to as its expected value.
A.(i), (ii), and (iii) are all correct statements.
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (iii) are correct statements but not (ii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 05-01 Identify the characteristics of a probability distribution.
Topic: 05-02 What is a Probability Distribution?
Topic: 05-03 Random Variables

i. The probability of a particular outcome, designated X, must always be between 0 and 100 inclusive.
ii. A random variable is a quantity resulting from a random experiment that can assume different values by chance.
iii. The mean of a probability distribution is referred to as its expected value.
A.(i), (ii), and (iii) are all correct statements.
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (iii) are correct statements but not (ii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 05-01 Identify the characteristics of a probability distribution.
Learning Objective: 05-03 Compute the mean; variance; and standard deviation of a discrete probability distribution.
Topic: 05-02 What is a Probability Distribution?
Topic: 05-03 Random Variables
Topic: 05-06 The Mean, Variance, and Standard Deviation of a Probability Distribution

i. The probability of a particular outcome, designated X, must always be between 0 and 1 inclusive.
ii. A random variable represents the outcomes of an experiment.
iii. The mean of a probability distribution is referred to as its expected value.
A.(i), (ii), and (iii) are all correct statements.
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (iii) are correct statements but not (ii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

i. A probability distribution is a mutually exclusive listing of experimental outcomes that can occur by chance and their corresponding probabilities.
ii. The probability of a particular outcome, designated X, must always be between 0 and 10 inclusive.
iii. The standard deviation of a probability distribution is referred to as its expected value.
A.(i), (ii), and (iii) are all correct statements.
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (iii) are correct statements but not (ii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

What is a listing of all possible outcomes of an experiment and their corresponding probability of occurrence called?
A.Random variable
B. Probability distribution
C. Subjective probability
D. Frequency distribution

Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 05-01 Identify the characteristics of a probability distribution.
Topic: 05-02 What is a Probability Distribution?

What is the following table called?

Number of Heads	Probability of Outcome
0	1/8 = 0.125
1	3/8 = 0.375
2	3/8 = 0.375
3	1/8 = 0.125
Total	8/8 = 1.000

Probability distribution
B. Ogive
C. Standard deviation
D. Frequency table

Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 05-01 Identify the characteristics of a probability distribution.
Topic: 05-02 What is a Probability Distribution?

Which of the following is correct about a probability distribution?
(i) Sum of all possible outcomes must equal 1.
(ii) Outcomes must be mutually exclusive.
(iii) Probability of each outcome must be between 0 and 100 inclusive.
A.(i), (ii), and (iii) are all correct statements.
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (ii) are correct statements but not (iii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 05-01 Identify the characteristics of a probability distribution.
Topic: 05-02 What is a Probability Distribution?

Which of the following is correct about a probability distribution?
(i) Sum of all possible outcomes must equal 1.
(ii) Outcomes must be mutually exclusive.
(iii) Probability of each outcome must be between 0 and 1 inclusive.
A.(i), (ii), and (iii) are all correct statements.
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (iii) are correct statements but not (ii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 05-01 Identify the characteristics of a probability distribution.
Topic: 05-02 What is a Probability Distribution?

A company is studying the number of monthly absences among its 125 employees. The following probability distribution shows the likelihood that people were absent 0, 1, 2, 3, 4, or 5 days last month.

Number of days absent	Probability
0	0.60
1	0.20
2	0.12
3	0.04
4	0.04
5	0

Given the probability distribution, which of the following predictions is correct?
A. 60% of the employees will have more than one day absent for a month.
B. There is a 0.04 probability that an employee will be absent 1 day during a month.
C. There is a 0.12 probability that an employee will be absent 2 days during a month.
D. There is a 0.50 probability that an employee will be absent 0.72 days during a month.

Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 05-03 Compute the mean; variance; and standard deviation of a discrete probability distribution.
Topic: 05-06 The Mean, Variance, and Standard Deviation of a Probability Distribution

i. If we measure the weight of an eggnog carton, the variable is referred to as being a discrete random variable.
ii. If we toss two coins and count the number of heads, there could be 0, 1, or 2 heads. Since the exact number of heads resulting from this experiment is due to chance, the number of heads appearing is a random variable.
iii. A random variable may be either discrete or continuous.
A.(i), (ii), and (iii) are all correct statements.
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (iii) are correct statements but not (ii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 05-02 Distinguish between discrete and continuous random variables.
Topic: 05-02 What is a Probability Distribution?
Topic: 05-03 Random Variables
Topic: 05-04 Discrete Random Variable
Topic: 05-05 Continuous Random Variable

i. A random variable may be either discrete or continuous.
ii. If Unique Buying Services has 100 employees, there might be 0, 1, 2, 3 up to 100 employees absent on Monday. In this case, the day of the week is the random variable.
iii. If we measure the weight of an eggnog carton, the variable is referred to as being a discrete random variable.
A.(i), (ii), and (iii) are all correct statements.
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (iii) are correct statements but not (ii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 05-01 Identify the characteristics of a probability distribution.
Learning Objective: 05-02 Distinguish between discrete and continuous random variables.
Topic: 05-02 What is a Probability Distribution?
Topic: 05-03 Random Variables
Topic: 05-04 Discrete Random Variable
Topic: 05-05 Continuous Random Variable

i. A random variable may be either discrete or continuous.
ii. If Unique Buying Services has 100 employees, there might be 0, 1, 2, 3 up to 100 employees absent on Monday. In this case, the day of the week is the random variable.
iii. A discrete variable may assume fractional or decimal values, but they must have distance between them.
A.(i), (ii), and (iii) are all correct statements.
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (iii) are correct statements but not (ii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

What kind of distribution are the binomial and Poisson distributions?
A.Discrete
B. Continuous
C. Both discrete and continuous
D. Neither discrete nor continuous

Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 05-04 Explain the assumptions and compute probabilities of the binomial distribution.
Learning Objective: 05-06 Explain the assumptions and compute probabilities for a Poisson distribution.
Topic: 05-11 Binomial Probability Experiment
Topic: 05-15 Cumulative Binomial Probability Distributions

The weight of an offensive linesman may be 205.15 pounds, 210.23 pounds, 225.05 pounds or 219.14 pounds. What is this an illustration of?
A.Continuous random variable
B. Discrete random variable
C. Complement rule
D. Probability distribution

Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 05-01 Identify the characteristics of a probability distribution.
Topic: 05-04 Discrete Random Variable
Topic: 05-05 Continuous Random Variable

If the variance of a probability was computed to be 3.6 grams, what is the standard deviation?
A.0.6
B. 1.9
C. 6.0
D. 12.96

The probabilities and the number of automobiles lined up at a Lakeside Olds at opening time (7:30 a.m.) for service are:

Number	Probability
1	0.05
2	0.30
3	0.40
4	0.25

On a typical day, how many automobiles should Lakeside Olds expect to be lined up at opening?
A. 10.00
B. 1.00
C. 2.85
D. 1.96

Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 05-03 Compute the mean; variance; and standard deviation of a discrete probability distribution.
Topic: 05-07 Mean

A company is studying the number of monthly absences among its 125 employees. The following probability distribution shows the likelihood that people were absent 0, 1, 2, 3, 4, or 5 days last month.

Number of days absent	Probability
0	0.60
1	0.20
2	0.12
3	0.04
4	0.04
5	0

What is the mean number of days absent?
A. 1.00
B. 0.40
C. 0.72
D. 2.5

Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 05-03 Compute the mean; variance; and standard deviation of a discrete probability distribution.
Topic: 05-07 Mean

A company is studying the number of monthly absences among its 125 employees. The following probability distribution shows the likelihood that people were absent 0, 1, 2, 3, 4, or 5 days last month.

Number of days absent	Probability
0	0.60
1	0.20
2	0.12
3	0.04
4	0.04
5	0

What is the variance of the number of days absent?
A. 1.16
B. 1.41
C. 5.00
D. 55.52

Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 05-03 Compute the mean; variance; and standard deviation of a discrete probability distribution.
Topic: 05-08 Variance and Standard Deviation

The probabilities and the number of automobiles lined up at a Lakeside Olds at opening time (7:30 a.m.) for service are:

Number	Probability
1	0.05
2	0.30
3	0.40
4	0.25

On a typical day, what is the variance of the number of automobiles that Lakeside Olds should expect to be lined up at opening?
A. 0.0576
B. 2.85
C. 0.7275
D. 0.1
E. 0.5293

Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 05-03 Compute the mean; variance; and standard deviation of a discrete probability distribution.
Topic: 05-07 Mean

The probabilities and the number of automobiles lined up at a Lakeside Olds at opening time (7:30 a.m.) for service are:

Number	Probability
1	0.05
2	0.30
3	0.40
4	0.25

On a typical day, what is the standard deviation of the number of cars that Lakeside Olds can expect to be lined up at opening?
A. 1.96
B. 2.85
C. 0.7275
D. 0.2400
E. 0.8529

Belk Department Store is having a special sale this weekend. Customers charging purchases of more than $50 to the Belk credit card will be given a special Belk lottery card. The customer will scratch the card, which will indicate the amount to be taken off the total amount of purchase. Listed below is the amount of the prize and the percent of the time that amount will be deducted from the total amount of the purchase

Prize amount	Probability
$10	0.5
25	0.4
50	0.08
100	0.02

Determine the mean and standard deviation of the prize amount.
A. Mean is $21, standard deviation is $16.09
B. Mean is $21, standard deviation is $710.50
C. Mean is $20, standard deviation is $25.00
D. Mean is $20, standard deviation is $26.66
E. Mean is $46.25, standard deviation is $710.50

The information below is the number of daily emergency assists made to skiers by the volunteer ski team at Alpine Ski Lodge for the last 50 days.
To explain, there were 22 days on which there were 2 emergency assists, and 9 days on which there were 3 emergency assists.

Number of calls	Frequency
0	8
1	10
2	22
3	9
4	1
Total	50

Convert this information to a probability distribution, and determine the mean number of assists per day.
A. 1.56
B. 1.7
C. 1.66
D. 1.76
E. 1.77

Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 05-03 Compute the mean; variance; and standard deviation of a discrete probability distribution.
Topic: 05-07 Mean

The information below is the number of daily emergency assists made to skiers by the volunteer ski team at Alpine Ski Lodge for the last 50 days.
To explain, there were 22 days on which there were 2 emergency assists, and 10 days on which there were 3 emergency assists.

Number of Calls	Frequency
0	7
1	10
2	22
3	10
4	1
Total	50

Convert this information to a probability distribution, and determine the mean number of assists per day.
A. 1.56
B. 1.7
C. 1.66
D. 1.76
E. 1.77

Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 05-03 Compute the mean; variance; and standard deviation of a discrete probability distribution.
Topic: 05-07 Mean

Let X represent the number of children in a Canadian household. The probability distribution of X is as follows:

x	1	2	3	4	5
*p(x)*	.25	.42	.17	.15	.01

Determine the expected number of children in a randomly selected Canadian household.
A. 2.25
B. 2.0
C. 2.5
D. 2.75
E. 3.0

Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 05-03 Compute the mean; variance; and standard deviation of a discrete probability distribution.
Topic: 05-07 Mean

On a very hot summer day, 5 percent of the production employees at Midland States Steel are absent from work. The production employees are to be selected at random for a special in-depth study on absenteeism. What is the probability of selecting 10 production employees at random on a hot summer day and finding that none of them are absent?
A.0.002
B. 0.344
C. 0.599
D. 0.100
E. 0.630

Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 05-04 Explain the assumptions and compute probabilities of the binomial distribution.
Topic: 05-12 How Is a Binomial Probability Distribution Computed?

Sponsors of a local charity decided to attract wealthy patrons to its $500-a-plate dinner by allowing each patron to buy a set of 20 tickets for the gaming tables. The chance of winning a prize for each of the 20 plays is 50-50. If you bought 20 tickets, what is the chance of winning 15 or more prizes?
A.0.250
B. 0.021
C. 0.006
D. 0.750
E. 0.50

Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 05-04 Explain the assumptions and compute probabilities of the binomial distribution.
Topic: 05-12 How Is a Binomial Probability Distribution Computed?
Topic: 05-15 Cumulative Binomial Probability Distributions

Carlson Jewelers permits the return of their diamond wedding rings, provided the return occurs within two weeks of the purchase date. Their records reveal that 10 percent of the diamond wedding rings are returned. Five different customers buy five rings. What is the probability that none will be returned?
A.0.250
B. 0.073
C. 0.590
D. 0.500
E. 0.372

In a large metropolitan area, past records revealed that 30 percent of all the high school graduates go to college. From 20 graduates selected at random, what is the probability that exactly 8 will go to college?
A.0.114
B. 0.887
C. 0.400
D. 0.231

Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 05-04 Explain the assumptions and compute probabilities of the binomial distribution.
Topic: 05-10 Binomial Probability Distribution
Topic: 05-12 How Is a Binomial Probability Distribution Computed?

Which of the following is NOT a characteristic of a binomial probability distribution?
A.Each outcome is mutually exclusive.
B. Each trial is independent.
C. Probability of success remains constant from trial to trial.
D. Each outcome results from two trials.

What must you know to develop a binomial probability distribution?
A.Probability of success
B. Number of trials
C. Number of successes
D. Probability of success and the number of trials
E. Probability of success and the number of successes

Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 05-04 Explain the assumptions and compute probabilities of the binomial distribution.
Topic: 05-10 Binomial Probability Distribution
Topic: 05-12 How Is a Binomial Probability Distribution Computed?

Chances are 50-50 that a newborn baby will be a girl. For families with five children, what is the probability that all the children are girls?
A.0.100
B. 0.031
C. 0.001
D. 0.250

Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 05-04 Explain the assumptions and compute probabilities of the binomial distribution.
Topic: 05-10 Binomial Probability Distribution
Topic: 05-12 How Is a Binomial Probability Distribution Computed?

A true-false test consists of six questions. If you guess the answer to each question, what is the probability of getting all six questions correct?
A.0
B. 0.016
C. 0.062
D. 0.250

Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 05-04 Explain the assumptions and compute probabilities of the binomial distribution.
Topic: 05-10 Binomial Probability Distribution
Topic: 05-12 How Is a Binomial Probability Distribution Computed?

Sixty percent of the customers of a fast food chain order the Whopper, French fries and a drink. If a random sample of 15 cash register receipts is selected, what is the probability that 10 or more will show that the above three food items were ordered?
A.1,000
B. 0.186
C. 0.403
D. 0.000

Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 05-04 Explain the assumptions and compute probabilities of the binomial distribution.
Topic: 05-10 Binomial Probability Distribution
Topic: 05-12 How Is a Binomial Probability Distribution Computed?
Topic: 05-15 Cumulative Binomial Probability Distributions

Judging from recent experience, 5 percent of the computer keyboards produced by an automatic, high-speed machine are defective. What is the probability that out of six keyboards selected at random, exactly zero keyboards will be defective?
A.0.001
B. 0.167
C. 0.735
D. 0.500

Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 05-04 Explain the assumptions and compute probabilities of the binomial distribution.
Topic: 05-10 Binomial Probability Distribution
Topic: 05-12 How Is a Binomial Probability Distribution Computed?

i. For a binomial distribution, each trial has a known number of successes. For example, a four question multiple-choice test can only have zero, one, two, three and four successes (number correct).
ii. To construct a binomial probability distribution, the number of trials and the probability of success must be known.
iii. A binomial distribution has a characteristic that the trials are independent, which means that the outcome of one trial does not affect the outcome of any other trial.
A.(i), (ii), and (iii) are all correct statements.
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (iii) are correct statements but not (ii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

i. A binomial distribution has a characteristic that an outcome of an experiment is classified into one of two mutually exclusive categories (a success or a failure).
ii. A binomial distribution has the characteristic that the probability of a success stays the same for each trial, but the probability of a failure varies from trial to trial.
iii. The mean of a binomial probability distribution can be determined by multiplying the probability of a failure by the number of trials.
A.(i), (ii), and (iii) are all correct statements.
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (iii) are correct statements but not (ii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

i. A binomial distribution is a continuous probability distribution.
ii. To construct a binomial distribution, it is necessary to know the total number of trials and the probability of success on each trial.
iii. If the probability of success remains the same, but n increases, the shape of the binomial distribution becomes more symmetrical.
A.(i), (ii), and (iii) are all correct statements.
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (iii) are correct statements but not (ii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

Which one of the following is NOT a condition of the binomial distribution?
A.Independent trials
B. Only two outcomes
C. Probability of success remains constant from trial to trial
D. At least 10 observations

i. A binomial distribution is a discrete probability distribution.
ii. To construct a binomial distribution, it is necessary to know the total number of trials and the probability of success on each trial.
iii. If the probability of success remains the same, but n increases, the shape of the binomial distribution becomes more symmetrical.
A.(i), (ii), and (iii) are all correct statements.
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (iii) are correct statements but not (ii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

Which is true for a binomial distribution?
A.There are three or more possible outcomes.
B. Probability of success remains the same from trial to trial.
C. Value of p is equal to 1.50.
D. Value of p is equal to 0.5.

Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 05-04 Explain the assumptions and compute probabilities of the binomial distribution.
Topic: 05-10 Binomial Probability Distribution

i. The mean of a binomial distribution is the product of the probability of success and the number of repetitions of the experiment.
ii. The binomial probability distribution is always negatively skewed.
iii. A binomial distribution has the characteristic that the probability of a success stays the same for each trial, but the probability of a failure varies from trial to trial.
A.(i), (ii), and (iii) are all correct statements.
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (iii) are correct statements but not (ii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

A true-false test consists of five questions. If you guess the answer to each question, what is the probability of getting all five questions correct?
A.0%
B. 3.1%
C. 6.2%
D. 100%

A true-false test consists of five questions. If you guess the answer to each question, what is the probability of getting three or more questions correct?
A.15.6%
B. 31.25%
C. 50%
D. 100%

A multiple-choice test consists of five questions, each with A-E answers. If you guess the answer to each question, what is the probability of getting three or more questions correct?
A.5.1%
B. 0.64%
C. 0.032%
D. 5.7%

A multiple-choice test consists of five questions, each with A-E answers. If you guess the answer to each question, what is the probability of getting four or more questions correct?
A.5.1%
B. 6.4%
C. 0.032%
D. Less than 1%

A multiple-choice test consists of six questions, each with A-E answers. If you guess the answer to each question, how many questions can you expect to get correct?
A.1
B. 3
C. 2
D. 1.2

A multiple-choice test consists of ten questions, each with A-E answers. If you guess the answer to each question, how many questions can you expect to get correct? Also find the standard deviation of the number of questions you can expect to get correct.
A.1, 1.6
B. 3, 1.3
C. 2, 1.3
D. 1.2, 1.6

David’s gasoline station offers 4 cents off per litre if the customer pays in cash and does not use a credit card. Past evidence indicates that 40% of all customers pay in cash. During a one-hour period twenty-five customers buy gasoline at this station.
What is the probability that at least ten pay in cash?
A.0.416
B. 0.575
C. 0.586
D. 0.425

David’s gasoline station offers 4 cents off per litre if the customer pays in cash and does not use a credit card. Past evidence indicates that 40% of all customers pay in cash. During a one-hour period twenty-five customers buy gasoline at this station.
What is the probability that no more than twenty pay in cash?
A.0.0
B. 0.1
C. 0.9
D. 1.0

David’s gasoline station offers 4 cents off per litre if the customer pays in cash and does not use a credit card. Past evidence indicates that 40% of all customers pay in cash. During a one-hour period twenty-five customers buy gasoline at this station.
What is the probability that more than ten and less than fifteen customers pay in cash?
A.0.541
B. 0.401
C. 0.380
D. 0.562

David’s gasoline station offers 4 cents off per litre if the customer pays in cash and does not use a credit card. Past evidence indicates that 40% of all customers pay in cash. During a one-hour period twenty-five customers buy gasoline at this station.
This situation is an example of what type of discrete probability distribution?
A.Continuous probability distribution
B. Poisson probability distribution
C. Binomial probability distribution
D. Hypergeometric probability distribution

Affirmative action commitments by industrial organizations have led to an increase in the number of women in executive positions. Satellite Office Systems has vacancies for two executives that it will fill from among four women and six men.
This is an example of what type of probability distribution?
A.Continuous probability distribution
B. Poisson probability distribution
C. Binomial probability distribution
D. Hypergeometric probability distribution

An insurance agent has appointments with four prospective clients tomorrow. From past experience the agent knows that the probability of making a sale on any appointment is 1 out of 5. Using the rules of probability, what is the likelihood that the agent will sell a policy to 3 of the 4 prospective clients?
A.0.250
B. 0.500
C. 0.410
D. 0.026

In a binomial distribution where n = 900 and p= 1/3, determine the mean and standard deviation.
A.2,700, 200
B. 2,700, 14.14
C. 300, 200
D. 300, 14.14

If n = 100 and p= 1/5, determine the mean and standard deviation of this binomial distribution.
A.20, 16
B. 20, 4
C. 500, 200
D. 200, 16

Elly’s hot dog emporium is famous for its chilidogs. Some customers order the hot dogs with hot peppers, while many do not care for that added bit of zest. Elly’s latest sales indicate that 30% of the customers ordering her chili dogs order it with hot peppers. Suppose 18 customers are selected at random.
What is the probability that exactly ten customers will ask for hot peppers?
A.0.015
B. 0.15
C. 0.708
D. 0.00

Elly’s hot dog emporium is famous for its chilidogs. Some customers order the hot dogs with hot peppers, while many do not care for that added bit of zest. Elly’s latest sales indicate that 30% of the customers ordering her chili dogs order it with hot peppers. Suppose 18 customers are selected at random. What is the probability that between two and six people inclusive want hot peppers?
A.0.015
B. 0.15
C. 0.708
D. 0.807

Elly’s hot dog emporium is famous for its chilidogs. Some customers order the hot dogs with hot peppers, while many do not care for that added bit of zest. Elly’s latest sales indicate that 30% of the customers ordering her chili dogs order it with hot peppers. Suppose 18 customers are selected at random. What is the probability that fifteen or more customers will want hot peppers?
A.0.015
B. 0.15
C. 0.708
D. 0.807
E. 0.00

When surveyed for brand recognition, 98% of consumers recognize Coke. A new survey of 800 randomly selected consumers is to be conducted. For such a group of 800, determine the mean and standard deviation for the number who recognize the Coke brand name. Considering as unusual a result that differs from the mean by more than two standard deviations, it (___ (is/is not) ___) unusual to get 775 consumers who recognize the Coke brand name.
A.16, 3.96, is not
B. 16, 16, is
C. 784, 3.96, is
D. 874, 16, is not

When surveyed for brand recognition, 98% of consumers recognize Coke. A new survey of 800 randomly selected consumers is to be conducted. For such a group of 800, determine the mean and standard deviation for the number who recognize the Coke brand name. Considering as unusual a result that differs from the mean by more than two standard deviations, it (___ (is/is not) ___) unusual to get 790 consumers who recognize the Coke brand name.
A.16, 3.96, is not
B. 16, 16, is
C. 784, 3.96, is not
D. 784, 3.96, is

Sixty percent of the customers of a fast food chain order a hamburger, French fries and a drink. If a random sample of 15 cash register receipts is selected, what is the probability that 10 will show that the above three food items were ordered?
A.1859
B. 0.7827
C. 0.2066
D. 0.2173
E. 0.4032

Sixty percent of the customers of a fast food chain order a hamburger, French fries and a drink. If a random sample of 15 cash register receipts is selected, what is the probability that 10 or more will show that the above three food items were ordered?
A.1.000
B. 0.7827
C. 0.9095
D. 0.2173
E. 0.0905

Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 05-04 Explain the assumptions and compute probabilities of the binomial distribution.
Topic: 05-01 Introduction
Topic: 05-15 Cumulative Binomial Probability Distributions

Judging from recent experience, 5 percent of the computer keyboards produced by an automatic, high-speed machine are defective. If six keyboards are randomly selected, what is the probability that none of the keyboards are defective?
A.0.167
B. 0.735
C. 0.500
D. 1.00
E. 0.2321

Judging from recent experience, 5 percent of the computer keyboards produced by an automatic, high-speed machine are defective. If six keyboards are randomly selected, what is the probability that more than 3 of the keyboards are defective?
A.0.167
B. 0.0001
C. 0.0000
D. 1.00
E. 0.2321

Sixty percent of the customers of a fast food chain order a hamburger, French fries and a drink. If a random sample of 15 cash register receipts is selected, what is the probability that less than 10 will show that the above three food items were ordered?
A.1.000
B. 0.7827
C. 0.9095
D. 0.5968
E. 0.0905

Carlson Jewelers permits the return of their diamond wedding rings, provided the return occurs within two weeks of the purchase date. Their records reveal that 10 percent of the diamond wedding rings are returned. Five different customers buy five rings. What is the probability that all will be returned?
A.0.00250
B. 0.59049
C. 0.00590
D. 0.00045
E. 0.00001

i. As a general rule of thumb, if the items selected for a sample are not replaced and the sample size is less than 5 percent of the population, the binomial distribution can be used to approximate the hypergeometric distribution.
ii. If the probability of success does not remain the same from trial to trial when sampling is done without replacement, the hypergeometric distribution should be applied.
iii. In the hypergeometric distribution the probability of a success is not the same on each trail.
A.(i), (ii), and (iii) are all correct statements.
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (iii) are correct statements but not (ii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 05-05 Explain the assumptions and compute probabilities for a hypergeometric distribution.
Topic: 05-15 Cumulative Binomial Probability Distributions

The marketing department of a nationally known cereal maker plans to conduct a national survey to find out whether or not consumers of flake cereals can distinguish one of their favourite flake cereals. To test the questionnaire and procedure to be used, eight persons were asked to cooperate in an experiment. Five very small bowls of flake cereals were placed in front of a person. The bowls were labeled A, B, C, D, and E. The person was informed that only one bowl contained his or her favourite flake cereal. Suppose that the eight persons in the experiment were unable to identify their favourite cereal and just guessed which bowl it was in. What is the probability that none of the eight guessed correctly?
A.0.168
B. 0.009
C. 0.788
D. 0.125

In which of the following discrete distribution does the probability of a success vary from one trial to the next?
A.Binomial
B. Poisson
C. Hypergeometric
D. Binomial, Poisson and Hypergeometric
E. Poisson and Hypergeometric

Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 05-05 Explain the assumptions and compute probabilities for a hypergeometric distribution.
Topic: 05-17 Hypergeometric Probability Distribution

Which of the following is a requirement for use of the hypergeometric distribution?
A.Only 2 possible outcomes.
B. Trials are independent.
C. Probability of a success is greater than 1.0.
D. Only 2 possible outcomes and trial are independent.

Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 05-05 Explain the assumptions and compute probabilities for a hypergeometric distribution.
Topic: 05-17 Hypergeometric Probability Distribution

An insurance agent has appointments with four prospective clients tomorrow. From past experience the agent knows that the probability of making a sale on any appointment is 1 out of 5. Using the rules of probability, what is the likelihood that the agent will sell a policy to at least 3 of the 4 prospective clients?
A.0.0016
B. 0.4096
C. 0.0272
D. 0.0256

Affirmative action commitments by industrial organizations have led to an increase in the number of women in executive positions. Satellite Office Systems has vacancies for two executives that it will fill from among four women and six men.
What is the probability that no woman is selected?
A.1/5
B. 1/3
C. 2/15
D. 8/15

Affirmative action commitments by industrial organizations have led to an increase in the number of women in executive positions. Satellite Office Systems has vacancies for two executives that it will fill from among four women and six men.
What is the probability that at least one woman is selected?
A.8/15
B. 3/5
C. 2/3
D. 3/4

Affirmative action commitments by industrial organizations have led to an increase in the number of women in executive positions. Satellite Office Systems has vacancies for two executives that it will fill from among four women and six men.
What is the probability that exactly one woman is selected?
A.8/15 = 0.533
B. 3/5 = 0.60
C. 2/3 = 0.667
D. 3/4 = 0.75

Sweetwater & Associates write weekend trip insurance at a very nominal charge. Records show that the probability that a motorist will have an accident during the weekend and file a claim is 0.00555. Suppose they wrote 400 policies for the coming weekend, approximately how many claims could they expect to be filed?
A.200
B. 20
C. 2
D. 0.2

Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 05-06 Explain the assumptions and compute probabilities for a Poisson distribution.
Topic: 05-20 Poisson Probability Distribution

Sweetwater & Associates write weekend trip insurance at a very nominal charge. Records show that the probability that a motorist will have an accident during the weekend and file a claim is 0.00555. Suppose they wrote 900 policies for the coming weekend, how many claims could they expect to be filed?
A.We have been given insufficient information to make such a prediction.
B. Sweetwater & Associates would normally expect to have 18 claims filed.
C. Sweetwater & Associates would normally expect to have 2 claims filed.
D. Sweetwater & Associates would be surprised to have five claims filed.

How is a Poisson distribution skewed?
A.Positively
B. Negatively
C. Symmetrical

Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 05-06 Explain the assumptions and compute probabilities for a Poisson distribution.
Topic: 05-20 Poisson Probability Distribution

The production department has installed a new spray machine to paint automobile doors. As is common with most spray guns, unsightly blemishes often appear because of improper mixture or other problems. A worker counted the number of blemishes on each door. Most doors had no blemishes; a few had one; a very few had two, and so on. The average number was 0.5 per door. The distribution of blemishes followed the Poisson distribution. Out of 10,000 doors painted, about how many would have no blemishes?
A.About 6,065
B. About 3,935
C. About 5,000
D. About 500

A manufacturer of headache medicine claims it is 70 percent effective within a few minutes. That is, out of every 100 users 70 get relief within a few minutes. A group of 12 patients are given the medicine. If the claim is true, what is the probability that 8 have relief within a few minutes?
A.0.001
B. 0.168
C. 0.667
D. 0.231

Sweetwater & Associates write weekend trip insurance at a very nominal charge. Records show that the probability that a motorist will have an accident during the weekend and file a claim is 0.00555. Suppose they wrote 400 policies for the coming weekend, what is the probability that exactly two claims will be filed?
A.0.8187
B. 0.2500
C. 0.01640.2676
D. 0.0001

A hybrid-grower is experiencing trouble with corn borers. A random check of 5,000 ears revealed the following: many of the ears contained no borers. Some ears had one borer; a few had two borers; and so on. The distribution of the number of borers per ear approximated the Poisson distribution. The grower counted 3,500 borers in the 5,000 ears. What is the probability that an ear of corn selected at random will contain no borers?
A.0.3476
B. 0.4966
C. 1.000
D. 0.0631

A machine shop has 100 drill presses and other machines in constant use. The probability that a machine will become inoperative during a given day is 0.0555. During some days no machines are inoperative, but during some days, one, two, three, or more are broken down. What is the probability that fewer than two machines will be inoperative during a particular day?
A.0.0200
B. 0.1637
C. 0.8187
D. 0.9824

Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 05-06 Explain the assumptions and compute probabilities for a Poisson distribution.
Topic: 05-20 Poisson Probability Distribution

What is the only variable in the Poisson probability formula?
A.p
B. x
C. e
D. P

In a Poisson distribution the mean is equal to
A.np.
B.
C. e^– ^x.
D.
E. zero.

Difficulty: Easy
Learning Objective: 05-06 Explain the assumptions and compute probabilities for a Poisson distribution.
Topic: 05-20 Poisson Probability Distribution

i. The random variable for a Poisson probability distribution is discrete.
ii. The Poisson probability distribution is always negatively skewed.
iii. The Poisson probability distribution has the same four characteristics as the binomial, but in addition, the probability of a success (p) is small and the number of trials (n) is relatively large.
A.(i), (ii), and (iii) are all correct statements.
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (iii) are correct statements but not (ii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

A statistic professor finds she averages five e-mail messages per day from students. Assume the number of messages approximates a Poisson distribution.
What is the probability that on a randomly selected day she will have no messages?
A.0.0067
B. Zero
C. 0.0335
D. Impossible to have no messages

A statistic professor finds she averages five e-mail messages per day from students. Assume the number of messages approximates a Poisson distribution.
What is the probability that on a randomly selected day she will have five messages?
A.0.0067
B. 0.875
C. 0.175
D. 1.0

A statistic professor finds she averages five e-mail messages per day from students. Assume the number of messages approximates a Poisson distribution.
What is the probability that on a randomly selected day she will have two messages?
A.0.0067
B. 0.0014
C. 0.420
D. 0.084
E. 0.5

If the variance is 3.6 grams, what is the standard deviation?
A.0.0600
B. 1.897
C. 0.6
D. 6.0
E. 1.789

A company is studying the number of daily debit card purchases. There were 20 purchases and the probability of a debit card purchase is 0.5. Of the 20 purchases, what is the expected value of the number of debit card purchases?
A.4
B. 6
C. 8
D. 10
E. 12

(i) A probability distribution relates the expected outcomes of an experiment to the probability of each one occurring.
(ii) The probability of all events in a probability distribution must sum to one.
(iii) An infinite population consists of a fixed number of individuals, objects, or measurements.
A.(i), (ii), and (iii) are all correct statements.
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (ii) are correct statements but not (iii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 05-01 Identify the characteristics of a probability distribution.
Topic: 05-02 What is a Probability Distribution?

(i) A probability distribution relates the expected outcomes of an experiment to the probability of each one occurring.
(ii) The probability of all events in a probability distribution must sum to one.
(iii) A finite population consists of a fixed number of individuals, objects, or measurements.
A.(i), (ii), and (iii) are all correct statements.
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (ii) are correct statements but not (iii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 05-01 Identify the characteristics of a probability distribution.
Topic: 05-02 What is a Probability Distribution?

(i) A continuous random variable can assume only a certain number of separated values.
(ii) The sum of the probabilities of the mutually exclusive outcomes of a probability distribution must equal one.
(iii) In a binomial experiment, the probability of a failure equals the probability of success.
A.(i), (ii), and (iii) are all correct statements.
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (ii) are correct statements but not (iii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 05-01 Identify the characteristics of a probability distribution.
Learning Objective: 05-04 Explain the assumptions and compute probabilities of the binomial distribution.
Topic: 05-02 What is a Probability Distribution?
Topic: 05-10 Binomial Probability Distribution

(i) A discrete random variable can assume only a certain number of separated values.
(ii) The sum of the probabilities of the mutually exclusive outcomes of a probability distribution must equal one.
(iii) In a binomial experiment, the probability of a failure equals the probability of success.
A.(i), (ii), and (iii) are all correct statements.
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (ii) are correct statements but not (iii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

(i) A continuous random variable can assume one of an infinite number of values within a specific range.
(ii) The sum of the probabilities of the mutually exclusive outcomes of a probability distribution must equal one.
(iii) In a binomial experiment, the probability of a failure equals (1 – probability of success).
A.(i), (ii), and (iii) are all correct statements.
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (iii) are correct statements but not (ii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

When a household is randomly selected, the probability distribution for the number x of cars owned is as described in the accompanying table.

x	P(x)
0	0.011
1	0.394
2	0.380
3	0.215

Find the mean and standard deviation of the probability distribution.
A. 0.0000, 0.0000
B. 1.75, 0.859
C. 1.75, 0.895
D. 1.97, 0.853
E. 1.799, 0.783

If your college hires the next four employees without regard to gender, and the pool of applicants is large with an equal number of men and women, then the probability distribution for the number x of women hired is described in the accompanying table.

x	P(x)
0	0.0625
1	0.2500
2	0.3750
3	0.2500
4	0.0625

Find the mean and standard deviation of the probability distribution.
A. 2.00, 2.0000
B. 1.75, 0.859
C. 1.75, 0.895
D. 1.57, 1.0
E. 2.0, 1.0

(i) A binomial probability distribution approaches a greater degree of symmetry as probability of success remains constant and the number of trials becomes larger or greater.
(ii) In a binomial experiment, the probability of a failure equals the probability of success.
(iii) In a binomial experiment, probability of success or failure remains constant from one trial to another.
A.(i), (ii), and (iii) are all correct statements.
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (iii) are correct statements but not (ii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

(i) A binomial probability distribution approaches a greater degree of symmetry as probability of success remains constant and the number of trials becomes larger or greater.
(ii) In a binomial experiment, the probability of a failure equals (1 – probability of success).
(iii) In a binomial experiment, probability of success or failure remains constant from one trial to another.
A.(i), (ii), and (iii) are all correct statements.
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (ii) are correct statements but not (iii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

(i) A binomial probability distribution approaches a greater degree of symmetry as probability of success remains constant and the number of trials becomes larger or greater.
(ii) In a binomial experiment, the probability of a failure equals (1 – probability of success).
(iii) In a binomial experiment, probability of success or failure changes from one trial to another.
A.(i), (ii), and (iii) are all correct statements.
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (ii) are correct statements but not (iii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

(i) If p = 1/3 and n = 900, the mean of this binomial distribution is 300.
(ii) If n = 900 and p = 1/3, the variance of this binomial distribution is 200.
(iii) If p = 1/5 and n = 100, the standard deviation of this binomial distribution is 16.
A.(i), (ii), and (iii) are all correct statements.
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (ii) are correct statements but not (iii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

(i) If p = 1/3 and n = 900, the mean of this binomial distribution is 300.
(ii) If n = 900 and p = 1/3, the variance of this binomial distribution is 200.
(iii) If p = 1/5 and n = 100, the standard deviation of this binomial distribution is four.
A.(i), (ii), and (iii) are all correct statements.
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (ii) are correct statements but not (iii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

(i) To construct a binomial distribution we need to know the total number of trials and the probability of a success.
(ii) If n = 900 and p = 1/3, the variance of this binomial distribution is 200.
(iii) If p = 1/5 and n = 100, the standard deviation of this binomial distribution is 20.
A.(i), (ii), and (iii) are all correct statements.
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (ii) are correct statements but not (iii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

(i) To construct a binomial distribution we need to know the total number of trials and the probability of a success.
(ii) If n = 900 and p = 1/3, the variance of this binomial distribution is 200.
(iii) If p = 1/5 and n = 100, the standard deviation of this binomial distribution is four.
A.(i), (ii), and (iii) are all correct statements.
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (ii) are correct statements but not (iii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

Elly’s hot dog emporium is famous for its chilidogs. Some customers order the hot dogs with hot peppers, while many do not care for that added bit of zest. Elly’s latest sales indicate that 30% of the customers ordering her chili dogs order it with hot peppers. Suppose 18 customers are selected at random. What is the probability that exactly nine customers will ask for hot peppers?
A.0.0000
B. 0.708
C. 0.015
D. 0.5
E. 0.039

Elly’s hot dog emporium is famous for its chilidogs. Some customers order the hot dogs with hot peppers, while many do not care for that added bit of zest. Elly’s latest sales indicate that 30% of the customers ordering her chili dogs order it with hot peppers. Suppose 18 customers are selected at random.
What is the probability that between two and five people inclusive want hot peppers?
A.0.0000
B. 0.708
C. 0.015
D. 0.521
E. 0.80

Elly’s hot dog emporium is famous for its chilidogs. Some customers order the hot dogs with hot peppers, while many do not care for that added bit of zest. Elly’s latest sales indicate that 30% of the customers ordering her chilidogs order it with hot peppers. Suppose 18 customers are selected at random. What is the probability that sixteen or more customers will want hot peppers?
A.0.0000
B. 0.708
C. 0.015
D. 0.5
E. 0.80

Elly’s hot dog emporium is famous for its chilidogs. Some customers order the hot dogs with hot peppers, while many do not care for that added bit of zest. Elly’s latest sales indicate that 30% of the customers ordering her chili dogs order it with hot peppers. Suppose 18 customers are selected at random.
This situation is an example of what type of distribution?
A.Binomial distribution
B. Hypergeometric distribution
C. Poisson distribution
D. Chi-squared distribution

In a large metropolitan area, past records revealed that 30 percent of all the high school graduates go to college. From 20 graduates selected at random, approximately how many will go to college?
A.3
B. 4
C. 5
D. 6
E. 7

In a large metropolitan area, past records revealed that 30 percent of all the high school graduates go to college. From 10 graduates selected at random, calculate the probability that none will go to college.
A.0.028%
B. 82%
C. 28%
D. 8.2%
E. 2.8%

When surveyed for brand recognition, 98% of consumers recognize Coke. A new survey of 800 randomly selected consumers is to be conducted. For such a group of 800, calculate the mean and standard deviation for the number who recognize the Coke brand name. Considering as unusual a result that differs from the mean by more than two standard deviations, it (___ (is/is not) ___) unusual to get 775 consumers who recognize the Coke brand name.
A.96, 9, is
B. 784, 3.96, is
C. 784, 9, is not
D. 96, 39.6, is not
E. 396, 78.4, is not

A marketing solutions poll of mutual funds and fund owners asked fund owners what action they took after the September 11^th2001 market drop. Sixteen percent of respondents said they bought more funds. If 600 fund owners were polled, calculate the mean and standard deviation of the number of respondents who bought more funds.
Considering as unusual a result that differs from the mean by more than two standard deviations, it (___ (is/is not) ___) unusual that in one of these polls of 600 fund owners, 100 respondents bought more mutual funds.
A.96, 9, is not
B. 96, 8, is
C. 96, 9, is
D. 95, 8, is not
E. 95, 8, is

Let X represent the number of children in a Canadian household. The probability distribution of X is as follows:

x	1	2	3	4	5
*P(x)*	.25	.42	.17	.15	.01

What is the probability that a randomly selected Canadian household will have more than 3 children? What is the expected number of children in a Canadian household?
A. 0.7311, 2
B. 0.3711, 3.2
C. 0.16, 2.25
D. 0.16, 3.2

Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 05-03 Compute the mean; variance; and standard deviation of a discrete probability distribution.
Topic: 05-06 The Mean, Variance, and Standard Deviation of a Probability Distribution

(i) A random variable with a Poisson distribution has one of two mutually exclusive values.
(ii) For the hypergeometric distribution there are only 2 possible outcomes.
(iii) In the hypergeometric distribution the probability of a success is the same on each trail.
A.(i), (ii), and (iii) are all correct statements.
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (ii) are correct statements but not (iii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 05-05 Explain the assumptions and compute probabilities for a hypergeometric distribution.
Learning Objective: 05-06 Explain the assumptions and compute probabilities for a Poisson distribution.
Topic: 05-17 Hypergeometric Probability Distribution
Topic: 05-20 Poisson Probability Distribution

(i) A random variable with a Poisson distribution has one of three mutually exclusive values.
(ii) For the hypergeometric distribution there are only 2 possible outcomes.
(iii) In the hypergeometric distribution the probability of a success is not the same on each trail.
A.(i), (ii), and (iii) are all correct statements
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (iii) are correct statements but not (ii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

(i) A random variable with a Poisson distribution has one of two mutually exclusive values.
(ii) For the hypergeometric distribution there are only 2 possible outcomes.
(iii) In the hypergeometric distribution the probability of a success is not the same on each trail.
A.(i), (ii), and (iii) are all correct statements.
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (iii) are correct statements but not (ii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

In a Poisson distribution each trail is independent.
(i) The binomial distribution and the Poisson distribution have two possible experimental outcomes.
(ii) The Poisson distribution or, the law of improbable events, has negatively skewed shape.
(iii) In a Poisson distribution each trail is dependent on the others.
A.(i), (ii), and (iii) are all correct statements.
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (iii) are correct statements but not (ii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

The arrival of customers at a service desk follows a Poisson distribution. If they arrive at the rate of two every five minutes, what is the probability that no customers arrive in a five-minute period?
A.0.7311
B. 0.3711
C. 0.1353
D. 0.16

The arrival of customers at a service desk follows a Poisson distribution. If they arrive at the rate of four every five minutes, what is the probability that more than four customers arrive in a five minute period?
A.0.7311
B. 0.3711
C. 0.5
D. 0.16

(i) The binomial distribution and the Poisson distribution have two possible experimental outcomes.
(ii) The Poisson distribution or, the law of improbable events, has negatively skewed shape.
(iii) In a Poisson distribution each trail is independent.
A.(i), (ii), and (iii) are all correct statements.
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (iii) are correct statements but not (ii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

(i) The binomial distribution and the Poisson distribution have two possible experimental outcomes.
(ii) The Poisson distribution or, the law of improbable events, has positively skewed shape.
(iii) In a Poisson distribution each trail is independent.
A.(i), (ii), and (iii) are all correct statements.
B. (i) is a correct statement but not (ii) or (iii).
C. (i) and (iii) are correct statements but not (ii).
D. (ii) and (iii) are correct statements but not (i).
E. (i), (ii), and (iii) are all false statements.

Basic Statistics for Business and Economics 6Th Canadian Edition By Linda - Test Bank

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