Deck 4: A Survey of Probability Concepts

Question 1

An electronics firm manufactures three models of stereo receivers, two cassette decks, four speakers and three CD players. When the four types of components are sold together, they form a "system." How many different systems can the electronic firm offer?

A) 36
B) 18
C) 72
D) 144
E) None of the choices are correct

Answer 1

C

Question 2

What does equal?

A) 640
B) 36
C) 10
D) 120
E) None of the choices are correct

Answer 2

C

Question 3

A builder has agreed not to erect all "look alike" homes in a new subdivision. Five exterior designs are offered to potential homebuyers. The builder has standardized three interior plans that can be incorporated in any of the five exteriors. How many different ways are the exterior and interior plans offered to potential homebuyers?

A) 8
B) 10
C) 15
D) 30
E) None of the choices are correct

Answer 3

C

Question 4

i. A probability is usually expressed as a decimal, such as 0.70 or 0.27, but it may be given as a fraction, such as 7/10 or 27/100.
Ii) The probability of 1 represents something that is certain to happen.
iii. The probability of 0 represents something that cannot happen.

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) All statements are false

Question 5

i. The Cunard luxury liner, Queen Elizabeth 2, cannot be docked in Hong Kong and Bangkok at the same time. Events such as these that cannot occur simultaneously are said to be collectively exhaustive.
Ii) If there are 'm' ways of doing one thing and 'n' ways of doing another thing, the multiplication formula states that there are (m) • (n) ways of doing both.
Iii) A permutation is an arrangement of a set of objects in which order does not matter.

A) (i), (ii) and (iii) are all correct statements
B) (i) and, (ii) are correct statements but not (iii).
C) (i) and, (iii) are correct statements but not (ii).
D) (ii) and, (iii) are correct statements but not (i).
E) All statements are false

Question 6

The result of a particular experiment is called a(n)

A) observation.
B) conditional probability.
C) event.
D) outcome.
E) None of the choices are correct.

Question 7

i. A subjective probability can be assigned to an event by an individual based on the individual's knowledge about the event.
ii. The probability that you would assign to the likelihood that the Hamilton Tiger Cats will be in the
Grey Cup this season must be between 0 and 10.
Iii) A probability is a number from -1 to +1 inclusive that measures one's belief that an event resulting from an experiment will occur.

A) (i), (ii) and (iii) are all correct statements
B) (i) and, (ii) are correct statements but not (iii).
C) (i) and, (iii) are correct statements but not (ii).
D) (ii) and, (iii) are correct statements but not (i).
E) All statements are false

Question 8

Six basic colours are to be used in decorating a new condominium. They are to be applied to a unit in groups of four colours. One unit might have gold as the principal colour, blue as a complementary colour, red as the accent colour and touches of white. Another unit might have blue as the principal colour, white as the complimentary colour, gold as the accent colour and touches of red. If repetitions are permitted, how many different units can be decorated?

A) 7,825
B) 25
C) 125
D) 1,296
E) None of the choices are correct

Question 9

i. An illustration of an experiment is turning the ignition key of an automobile as it comes off the assembly line to determine whether or not the engine will start.
ii. If there are 'm' ways of doing one thing and 'n' ways of doing another thing, the multiplication formula states that there are (m)-(n) ways of doing both.
Iii) A permutation is an arrangement of a set of objects in which there is an order from the first through the last.

A) (i), (ii) and (iii) are all correct statements
B) (i) and, (ii) are correct statements but not (iii).
C) (i) and, (iii) are correct statements but not (ii).
D) (ii) and, (iii) are correct statements but not (i).
E) All statements are false

Question 10

The numbers 0 through 9 are to be used in code groups of four to identify an item of clothing. Code 1083 might identify a blue blouse, size medium. The code group 2031 might identify a pair of pants, size 18, and so on. Repetitions of numbers are not permitted, i.e., the same number cannot be used more than once in a total sequence. As examples, 2256, 2562 or 5559 would not be permitted. How many different code groups can be designed?

A) 5,040
B) 620
C) 10,200
D) 120
E) None of the choices are correct

Question 11

Consideration is being given to forming a Super Ten Basketball Conference. The top 10 university basketball teams in the country, based on past records, would be members of the Super Ten
Conference. Each team would play every other team in the conference during the season and the
Team winning the most games would be declared the national champion. How many games would the conference commissioner have to schedule each year? (Remember, McMaster versus Alberta is the same as Alberta versus McMaster.)

A) 45
B) 50
C) 125
D) 14
E) None of the choices are correct

Question 12

i. The probability of an event, based on a classical approach, is defined as the number of favourable outcomes divided by the total number of possible outcomes.
Ii) If among several events only one can occur at a time, we refer to these events as being mutually exclusive events.
Iii) The probability of rolling a 3 or 2 on a single die is an example of conditional probability.

A) (i), (ii) and (iii) are all correct statements
B) (i) and, (ii) are correct statements but not (iii).
C) (i) and, (iii) are correct statements but not (ii).
D) (ii) and, (iii) are correct statements but not (i).
E) All statements are false

Question 13

Six basic colours are to be used in decorating a new condominium. They are to be applied to a unit in groups of four colours. One unit might have gold as the principal colour, blue as a complementary colour, red as the accent colour and touches of white. Another unit might have blue as the principal colour, white as the complimentary colour, gold as the accent colour and touches of red. If repetitions are not permitted, how many different units can be decorated?

A) 360
B) 25
C) 125
D) 1,296
E) None of the choices are correct

Question 14

A rug manufacturer has decided to use 7 compatible colours in her rugs. However, in weaving a rug, only 5 spindles can be used. In advertising, the rug manufacturer wants to indicate the number of different colour groupings for sale. How many colour groupings using the seven colours taken five at a time are there? (This assumes that 5 different colours will go into each rug, i.e., there are no repetitions of colour.)

A) 120
B) 2,520
C) 6,740
D) 36
E) None of the choices are correct

Question 15

A sales representative calls on four hospitals in York Region. It is immaterial what order he calls on them. How many ways can he organize his calls?

A) 4
B) 24
C) 120
D) 37
E) None of the choices are correct

Question 16

i. A probability is usually expressed as a decimal, such as 0.70 or 0.27, but it may be given as a fraction, such as 7/10 or 27/100.
Ii) The closer a probability is to 0, the more likely that an event will not happen.
iii. The closer the probability is to 1.00, the more likely an event will happen.

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) All statements are false

Question 17

When are two events mutually exclusive?

A) They overlap on a Venn diagram
B) If one event occurs, then the other cannot
C) Probability of one affects the probability of the other
D) Both (a) and (b)
E) None of the choices are correct

Question 18

You have the assignment of designing colour codes for different parts. Three colours are to be used on each part, but a combination of three colours used for one part cannot be rearranged and used to identify a different part. This means that if green, yellow and violet were used to identify a camshaft, yellow, violet and green (or any other combination of these three colours) could not be used to identify a pinion gear. If there are 35 combinations, how many colours were available?

A) 5
B) 7
C) 9
D) 11
E) None of the choices are correct

Question 19

i. A probability is usually expressed as a decimal, such as 0.70 or 0.27, but it may be given as a fraction, such as 7/10 or 27/100.
ii. The closer a probability is to 0, the more likely that an event will happen.
Iii) The closer the probability is to 1.00, the more likely an event will not happen.

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) All statements are false

Question 20

i. The Cunard luxury liner, Queen Elizabeth 2, cannot be docked in Hong Kong and Bangkok at the same time. Events such as these that cannot occur simultaneously are said to be collectively exhaustive.
Ii) If there are 'm' ways of doing one thing and 'n' ways of doing another thing, the multiplication formula states that there are (m)(n) ways of doing both.
Iii) A permutation is an arrangement of a set of objects in which there is an order from the first through the last.

A) (i), (ii) and (iii) are all correct statements
B) (i) and, (ii) are correct statements but not (iii).
C) (i) and, (iii) are correct statements but not (ii).
D) (ii) and, (iii) are correct statements but not (i).
E) All statements are false

Question 21

i. The complement rule states that the probability of an event not occurring is equal to one minus the probability of its occurrence.
Ii) If there are two independent events A and B, the probability that A and B will occur is found by multiplying the two probabilities. Thus for two events A and B, the special rule of multiplication shown symbolically is: P(A and B) = P(A) P(B).
Iii) The general rule of multiplication is used to find the joint probability that two events will occur. Symbolically, the joint probability P(A and B) is found by: P(A and B) = P(A) P(B/A).

A) (i), (ii) and (iii) are all correct statements
B) (i) and, (ii) are correct statements but not (iii).
C) (i) and, (iii) are correct statements but not (ii).
D) (ii) and, (iii) are correct statements but not (i).
E) All statements are false

Question 22

The first card selected from a standard 52-card deck was a king. If it is returned to the deck, what is the probability that a king will be drawn on the second selection?

A) 1/4 or 0.25
B) 1/13 or 0.077
C) 12/13 or 0.923
D) 1/3 or 0.33
E) None of the choices are correct

Question 23

The machine has just been filled with 50 black, 150 white, 100 red and 100 yellow gum balls that have been thoroughly mixed. Sue and Jim approached the machine first. They both said they wanted red gum balls. What is the likelihood they will get their wish?

A) 0.50
B) 0.062
C) 0.33
D) 0.75
E) None of the choices are correct

Question 24

Routine physical examinations are conducted annually as part of a health service program for the employees. It was discovered that 8% of the employees needed corrective shoes, 15% needed major dental work and 3% needed both corrective shoes and major dental work. What is the probability that an employee selected at random will need either corrective shoes or major dental work?

A) 0.20
B) 0.25
C) 0.50
D) 1.00
E) None of the choices are correct

Question 25

According to which classification or type of probability are the events equally likely?

A) Classical
B) Empirical
C) Subjective
D) Mutually exclusive
E) None of the choices are correct

Question 26

The National Centre for Health Statistics reported that of every 883 deaths in recent years, 24 resulted from an automobile accident, 182 from cancer and 333 from heart disease. Using the relative frequency approach, what is the probability that a particular death is due to an automobile accident?

A) 24/883 or 0.027
B) 539/883 or 0.610
C) 24/333 or 0.072
D) 182/883 or 0.206
E) None of the choices are correct

Question 27

Which approach to probability is exemplified by the following formula?

A) Classical approach
B) Empirical approach
C) Subjective approach
D) None of the choices are correct

Question 28

Giorgio offers the person who purchases a 250 ml bottle of Allure two free gifts, either an umbrella, a 30 ml bottle of Midnight, a feminine shaving kit, a raincoat or a pair of rain boots. If you purchased
Allure what is the probability you selected at random an umbrella and a shaving kit in that order?

A) 0.00
B) 1.00
C) 0.05
D) 0.20
E) None of the choices are correct

Question 29

A survey of top executives revealed that 35% of them regularly read Time magazine, 20% read Newsweek and 40% read Macleans & World Report. Ten percent read both Time and Macleans. What is the probability that a particular top executive reads either Time or Macleans regularly?

A) 0.85
B) 0.06
C) 1.00
D) 0.65
E) None of the choices are correct

Question 30

i. A coin is tossed four times. The probability is ¼ or 0.25 that all four tosses will result in a head face up.
ii. A coin is tossed four times. The probability is 1/8 or 0.125 that all four tosses will result in a head face up.
iii. If two events are mutually exclusive, then P(A or B) = P(A) P(B).

A) (i), (ii) and (iii) are all correct statements
B) (i) and, (ii) are correct statements but not (iii).
C) (i) and, (iii) are correct statements but not (ii).
D) (ii) and, (iii) are correct statements but not (i).
E) All statements are false

Question 31

A study by Tourism Ontario revealed that 50% of the vacationers going to Toronto visit the CN Tower, 40% visit SkyDome and 35% visit both. What is the probability that a vacationer will visit at least one of these magnificent attractions?

A) 0.95
B) 0.35
C) 0.55
D) 0.05
E) None of the choices are correct

Question 32

A group of employees of Unique Services is to be surveyed with respect to a new pension plan. In- depth interviews are to be conducted with each employee selected in the sample. The employees are classified as follows. What is the probability that the first person selected is classified as a maintenance employee?

A) 0.20
B) 0.50
C) 0.025
D) 1.00
E) None of the choices are correct

Question 33

A lamp manufacturer has developed five lamp bases and four lampshades that could be used together. How many different arrangements of base and shade can be offered?

A) 5
B) 10
C) 15
D) 20
E) None of the choices are correct

Question 34

When an event's probability depends on the likelihood of another event, the probability is

A) conditional probability.
B) empirical probability.
C) joint probability.
D) Mutually exclusive probability.
E) None of the choices are correct

Question 35

What does the complement rule state?

A) P(A) = P(A) - P(B)
B) P(A) = 1 - P(not A)
C) P(A) = P(A) • P(B)
D) P(A) = P(A)X + P(B)
E) None of the choices are correct

Question 36

A board of directors consists of eight men and four women. A four-member search committee is to be chosen at random to recommend a new company president. What is the probability that all four members of the search committee will be women?

A) 1/120 or 0.00083
B) 1/16 or 0.0625
C) 1/8 or 0.125
D) 1/495 or 0.002
E) None of the choices are correct

Question 37

There are 10 rolls of film in a box and 3 are defective. Two rolls are to be selected one after the other. What is the probability of selecting a defective roll followed by another defective roll?

A) 1/2 or 0.50
B) 1/4 or 0.25
C) 1/120, or about 0.0083
D) 1/15, or about 0.07
E) None of the choices are correct

Question 38

When two or more events can occur concurrently it is called

A) conditional probability.
B) empirical probability.
C) joint probability.
D) a tree diagram.
E) None of the choices are correct.

Question 39

When an experiment is conducted "without replacement",

A) events are independent
B) events are equally likely
C) the experiment can be illustrated with a Venn Diagram
D) the probability of two or more events is computed as a joint probability

Question 40

A tire manufacturer advertises, "the median life of our new all-season radial tire is 120,000 kms. An immediate adjustment will be made on any tire that does not last 120,000 kms." You purchased four of these tires. What is the probability that all four tires will wear out before traveling 120,000 kms?

A) 1/10 or 0.10
B) ¼ or 0.25
C) 1/64 or 0.0156
D) 1/16 or 0.0625
E) None of the choices are correct

Question 41

An automatic machine inserts mixed vegetables into a plastic bag. Past experience revealed that some packages were underweight and some were overweight, but most of them had satisfactory weight. What is the probability of selecting and finding that all three of them are overweight?

A) 0.0000156
B) 0.0004218
C) 0.0000001
D) 0.075
E) None of the choices are correct

Question 42

The following distribution table represents preferences for two types of cereals by 2000 boys and girls. If two different children are randomly selected, determine the probability that they both prefer the
Fruity Cereal.

A) 500/1,000 * 499/1,000
B) 500/2,000 * 499/1,999
C) 1200/2,000 * 1,199/2,000
D) 1,200/2,000 * 1,199/1,999
E) None of the choices are correct

Question 43

The following distribution table represents preferences for two types of cereals by 2,000 boys and girls. What is the probability that an individual, whether a boy or girl, prefers nutty cereal?

A) 500/1,000
B) 500/2,000
C) 1,200/2,000
D) 500/1,200
E) None of the choices are correct

Question 44

The following distribution table represents preferences for two types of cereals by 2,000 boys and girls. Find the probability that a person prefers Fruity cereal given that the person is a boy.

A) 500/1,000
B) 500/2,000
C) 1,200/2,000
D) 500/1,200
E) None of the choices are correct

Question 45

A study of the opinion of designers with respect to the primary colour most desirable for use in executive offices showed that: What is the probability that a designer does not prefer blue?

A) 1.0000
B) 0.9075
C) 0.8850
D) 0.7725
E) None of the choices are correct

Question 46

When applying the special rule of addition for mutually exclusive events, the joint probability is:

A) 1
B) .5
C) 0
D) 0.25
E) unknown

Question 47

A study of the opinion of designers with respect to the primary colour most desirable for use in executive offices showed that: What is the probability that a designer does not prefer red?

A) 1.00
B) 0.77
C) 0.73
D) 0.23
E) None of the choices are correct

Question 48

Three defective electric toothbrushes were accidentally shipped to a drugstore by the manufacturer along with 17 non-defective ones. What is the probability that the first two electric toothbrushes sold will be returned to the drugstore because they are defective?

A) 3/20 or 0.15
B) 3/17 or 0.176
C) 1/4 or 0.25
D) 3/190 or 0.01579
E) None of the choices are correct

Question 49

Type of Attack If one person is randomly selected, what is the likelihood that he or she was victimized by a stranger, given that a robbery victim is selected?

A) 389/505
B) 389/1,118
C) 389/2,000
D) 1,234/2,000
E) None of the choices are correct

Question 50

An automatic machine inserts mixed vegetables into a plastic bag. Past experience revealed that some packages were underweight and some were overweight, but most of them had satisfactory weight. What is the probability of selecting and finding that all three of them are satisfactory?

A) 0.900
B) 0.810
C) 0.729
D) 0.075
E) None of the choices are correct

Question 51

The following distribution table represents preferences for two types of cereals by 2000 boys and girls. Determine the probability that the person is a boy, given that the person likes Fruity Cereal.

A) 500/1,000
B) 500/2,000
C) 1,200/2,000
D) 500/1,200
E) None of the choices are correct

Question 52

A study of the opinion of designers with respect to the primary colour most desirable for use in executive offices showed that: What is the probability that a designer does not prefer yellow?

A) 0.000
B) 0.765
C) 0.885
D) 1.000
E) None of the choices are correct

Question 53

A group of employees of Unique Services is to be surveyed with respect to a new pension plan. In- depth interviews are to be conducted with each employee selected in the sample. The employees are classified as follows. What is the probability that the first person selected is either in management and in supervision?

A) 0.00
B) 0.06
C) 0.15
D) 0.21
E) None of the choices are correct

Question 54

If two events are independent, then their joint probability is

A) computed with the special rule of addition
B) computed with the special rule of multiplication
C) computed with the general rule of multiplication
D) computed with Bayes theorem

Question 55

Each salesperson in a large department store chain is rated with respect to sales potential for advancement. These traits for the 500 salespeople were cross classified into the following table. What is the probability that a salesperson selected at random will have below average sales ability and fair potential for advancement?

A) 0.032
B) 0.10
C) 0.16
D) 0.32
E) None of the choices are correct

Question 56

A group of employees of Unique Services is to be surveyed with respect to a new pension plan. In- depth interviews are to be conducted with each employee selected in the sample. The employees are classified as follows. What is the probability that the first person selected is a supervisor and in management?

A) 0.00
B) 0.06
C) 0.15
D) 0.21
E) None of the choices are correct

Question 57

A group of employees of Unique Services is to be surveyed with respect to a new pension plan. In- depth interviews are to be conducted with each employee selected in the sample. The employees are classified as follows. What is the probability that the first person selected is either in maintenance or in secretarial?

A) 0.200
B) 0.015
C) 0.059
D) 0.001
E) None of the choices are correct

Question 58

The following distribution table represents preferences for two types of cereals by 2000 boys and girls. Find the probability that an individual selected at random will be a boy and prefer Fruity cereal.

A) 500/1,000
B) 500/2,000
C) 1,200/2,000
D) 500/1,200
E) None of the choices are correct

Question 59

Each salesperson in a large department store chain is rated with respect to sales potential for advancement. These traits for the 500 salespeople were cross classified into the following table. What is the probability that a salesperson selected at random will have average sales ability and good potential for advancement?

A) 0.09
B) 0.12
C) 0.30
D) 0.525
E) None of the choices are correct

Question 60

Each salesperson in a large department store chain is rated with respect to sales potential for advancement. These traits for the 500 salespeople were cross classified into the following table. What is the probability that a salesperson selected at random has above average sales ability and is an excellent potential for advancement?

A) 0.20
B) 0.50
C) 0.27
D) 0.75
E) None of the choices are correct

Question 61

A survey of 500 top Canadian companies reported what the companies' hiring outlook was for the next 18 months as well as the general company outlook for the economy over the same period of time. Given that a randomly selected company has a favourable forecast, what is the probability that it plans to cut jobs during the next 18 months?

A) 25/500
B) 25/175
C) 125/175
D) 175/500
E) None of the choices are correct

Question 62

Each salesperson in a large department store chain is rated with respect to sales potential for advancement. These traits for the 500 salespeople were cross-classified into the following table: What is the probability that the selected salesperson has a fair potential for advancement, given that they have a below average ability?

A) 16/500
B) 16/154
C) 16/50
D) 188/500
E) 204/500

Question 63

Type of Attack What is the likelihood of a victim being attacked by a relative or acquaintance?

A) 389/505
B) 787/2,000
C) 3,89/2,000
D) 1,234/2,000
E) None of the choices are correct

Question 64

The customer service department of H&R Block received a total of 235 telephone requests for a tip- sheet on personal tax or corporate tax. The following table summarizes callers' primary area of interest, and how they first heard about the tip-sheet. What is the probability a caller became aware of the tip-sheet either by radio or newspaper given her primary interest is corporate tax?

A) 106/135
B) 36/135
C) 70/135
D) 90/235
E) 160/235

Question 65

The customer service department of H&R Block received a total of 235 telephone requests for a tip- sheet on personal tax or corporate tax. The following table summarizes callers' primary area of interest, and how they first heard about the tip-sheet. What is the probability a caller is interested in personal tax given that he first heard of the tip-sheet in the newspaper?

A) 106/135
B) 20/90
C) 70/135
D) 90/235
E) 70/90

Question 66

A survey of 500 top Canadian companies reported what the companies' hiring outlook was for the next 18 months as well as the general company outlook for the economy over the same period of time. Given that a randomly selected company plans to add jobs during the next 18 months, what is the probability that they have a favourable outlook for the economy?

A) 325/500
B) 165/500
C) 175/500
D) 235/500
E) None of the choices are correct

Question 67

A survey of 500 top Canadian companies reported what the companies' hiring outlook was for the next 18 months as well as the general company outlook for the economy over the same period of time. What is the probability that a randomly selected company from this sample does not have a favourable outlook for the economy over the next 18 months?

A) 325/500
B) 260/500
C) 175/500
D) 65/500
E) None of the choices are correct

Question 68

A survey of 500 top Canadian companies reported what the companies' hiring outlook was for the next 18 months as well as the general company outlook for the economy over the same period of time. What is the probability that a randomly selected company does not plan to add jobs during the next 18 months?

A) 165/500
B) 335/500
C) 210/500
D) 25/500
E) None of the choices are correct

Question 69

Each salesperson in a large department store chain is rated with respect to sales potential for advancement. These traits for the 500 salespeople were cross-classified into the following table: What is the probability that the selected salesperson has average sales ability?

A) 50/500
B) 150/500
C) 300/500
D) 16/50
E) 154/500

Question 70

The customer service department of H&R Block received a total of 235 telephone requests for a tip- sheet on personal tax or corporate tax. The following table summarizes callers' primary area of interest, and how they first heard about the tip-sheet. Suppose that a caller is selected at random. Find the probability that the caller selected heard about the report from the radio, assuming they are interested in personal tax.

A) 34/100
B) 34/235
C) 34/135
D) 34/70
E) None of the choices are correct

Question 71

A survey of 500 top Canadian companies reported what the companies' hiring outlook was for the next 18 months as well as the general company outlook for the economy over the same period of time. Given that a randomly selected company plans to add jobs during the next 18 months, what is the probability that they have a favourable outlook for the economy?

A) 325/500
B) 100/175
C) 175/500
D) 100/165
E) None of the choices are correct

Question 72

Each salesperson in a large department store chain is rated with respect to sales potential for advancement. These traits for the 500 salespeople were cross-classified into the following table: What is the probability that the selected salesperson has below average sales ability and has a fair potential for advancement?

A) 16/500
B) 16/154
C) 300/500
D) 188/500
E) 204/500

Question 73

Type of Attack Find the probability that when 1 of the 2000 subjects is randomly selected, the person chosen was robbed or was victimized by an acquaintance or relative.

A) 903/2,000
B) 903/1,000
C) 1,292/2,000
D) 1,234/2,000
E) None of the choices are correct

Question 74

A survey of 500 top Canadian companies reported what the companies' hiring outlook was for the next 18 months as well as the general company outlook for the economy over the same period of time. What is the probability that a randomly selected company has an unfavourable forecast for the economy for the next 18 months?

A) 25/500
B) 325/500
C) 65/500
D) 175/500
E) None of the choices are correct

Question 75

The customer service department of H&R Block received a total of 235 telephone requests for a tip- sheet on personal tax or corporate tax. The following table summarizes callers' primary area of interest, and how they first heard about the tip-sheet. Suppose that a caller is selected at random. Find the probability that the caller selected is interested in personal tax, if they heard about the report from the radio.

A) 34/100
B) 34/235
C) 34/135
D) 34/70
E) None of the choices are correct

Question 76

Each salesperson in a large department store chain is rated with respect to sales potential for advancement. These traits for the 500 salespeople were cross-classified into the following table: What is the probability that the selected salesperson has above average sales ability?

A) 50/500
B) 150/500
C) 300/500
D) 16/50
E) 154/500

Question 77

A survey of 500 top Canadian companies reported what the companies' hiring outlook was for the next 18 months as well as the general company outlook for the economy over the same period of time. What is the probability that a randomly selected company plans to cut jobs during the next 18 months?

A) 125/500
B) 375/500
C) 210/500
D) 25/500
E) None of the choices are correct

Question 78

Each salesperson in a large department store chain is rated with respect to sales potential for advancement. These traits for the 500 salespeople were cross-classified into the following table: What is the probability that the selected salesperson has below average sales ability?

A) 50/500
B) 150/500
C) 300/500
D) 16/50
E) 154/500

Question 79

An insurance company has collected the following data on the gender and marital status of 400 customers. Suppose that a customer is selected at random. Find the probability that the customer selected is not single.

A) 75/400
B) 175/400
C) 150/500
D) 325/500
E) None of the choices are correct

Question 80

Each salesperson in a large department store chain is rated with respect to sales potential for advancement. These traits for the 500 salespeople were cross-classified into the following table: What is the probability that the selected salesperson has below average sales ability or has a fair potential for advancement?

A) 16/500
B) 16/154
C) 300/500
D) 188/500
E) 204/500