Deck 5: Discrete Probability Distributions

Question 1

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. What is the mean number of days absent?

A) 1.00
B) 0.40
C) 0.72
D) 2.5

Answer 1

0.72

Question 2

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

Answer 2

2.85

Question 3

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

Answer 3

Probability distribution

Question 4

What is the following table called?

A) Probability distribution
B) Ogive
C) Standard deviation
D) Frequency table

Question 5

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.

Question 6

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

Question 7

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

Question 8

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.

Question 9

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.

Question 10

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. What is the variance of the number of days absent?

A) 1.16
B) 1.41
C) 5.00
D) 55.52

Question 11

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.

Question 12

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

Question 13

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.

Question 14

What kind of distribution are the binomial and Poisson distributions?

A) Discrete
B) Continuous
C) Both discrete and continuous
D) Neither discrete nor continuous

Question 15

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.

Question 16

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. 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.

Question 17

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

Question 18

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.

Question 19

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.

Question 20

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.

Question 21

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

Question 22

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.

Question 23

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

Question 24

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

Question 25

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.

Question 26

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.

Question 27

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.
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

Question 28

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

Question 29

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

Question 30

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 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

Question 31

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

Question 32

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.

Question 33

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

Question 34

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.

Question 35

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.

Question 36

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.
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

Question 37

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

Question 38

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

Question 39

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

Question 40

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

Question 41

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

Question 42

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

Question 43

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%

Question 44

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

Question 45

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

Question 46

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%

Question 47

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

Question 48

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

Question 49

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

Question 50

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.

Question 51

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

Question 52

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

Question 53

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

Question 54

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

Question 55

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

Question 56

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

Question 57

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

Question 58

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%

Question 59

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%

Question 60

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

Question 61

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

Question 62

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

Question 63

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.

Question 64

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

Question 65

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

Question 66

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

Question 67

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

Question 68

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.

Question 69

How is a Poisson distribution skewed?

A) Positively
B) Negatively
C) Symmetrical

Question 70

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

Question 71

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

Question 72

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.

Question 73

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

Question 74

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

Question 75

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

Question 76

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

Question 77

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

Question 78

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

A) 0.168
B) 0.009
C) 0.788
D) 0.125
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?

Question 79

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

Question 80

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