Question 1

When are two events mutually exclusive?

Accepted Answer

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 
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 2

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?

Accepted Answer

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

Question 3

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.

Accepted Answer

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 
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 4

When two or more events can occur concurrently it is called

Accepted Answer

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

Question 5

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?

Accepted Answer

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

Question 6

A company has warehouses in four regions: South, Midwest, Rocky Mountain and Far West. One warehouse is to be selected at random to store a seldom-used item. The probability that the warehouse selected would be the one in the Far West region is_________ .

Accepted Answer

The answer of A company has warehouses in four regions:...

Question 7

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?

Accepted Answer

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

Question 8

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?

Accepted Answer

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

Question 9

Considering the chart below, what is the probability that if you select one person at random that they have committed a violent crime and were at least 20 years of age?

Accepted Answer

A)  74.00% 
B)  56.23% 
C)  50.00% 
D)  18.0% 
E)  None of these are correct 
A)  74.00% 
B)  56.23% 
C)  50.00% 
D)  18.0% 
E)  None of these are correct

Question 10

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?

Accepted Answer

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

Question 11

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?

Accepted Answer

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

Question 12

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.)

Accepted Answer

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

Question 13

If the set of events are collectively exhaustive and mutually exclusive, the sum of the probabilities equals_____ .

Accepted Answer

The answer of If the set of events are collectively...

Question 14

What does the complement rule state?

Accepted Answer

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 
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 15

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?

Accepted Answer

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

Question 16

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).

Accepted Answer

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 
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 17

You take a trip by air that involves three independent flights. If there is a 90 percent chance each specific leg of the trip is done on time, what is the probability all three flights are late?

Accepted Answer

A)  0.729 
B)  0.810 
C)  0.270 
D)  0.271 
E)  0.001 
A)  0.729 
B)  0.810 
C)  0.270 
D)  0.271 
E)  0.001

Question 18

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?

Accepted Answer

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

Question 19

Information on the 30 Major League Baseball teams for the 2003 season has been summarized based on game attendance. What is the probability that if a team is selected at random, it had a losing season and drew attendance of less than 2.0 million?

Accepted Answer

A)  18/30 
B)  19/30 
C)  13/30 
D)  9/30 
E)  12/30 
A)  18/30 
B)  19/30 
C)  13/30 
D)  9/30 
E)  12/30

Question 20

Considering the chart below, what is the probability that if you select one person at random that they have committed a violent crime and were at least 20 years of age?

Accepted Answer

A)  36.7% 
B)  18% 
C)  26% 
D)  27.3% 
E)  None of these are correct 
A)  36.7% 
B)  18% 
C)  26% 
D)  27.3% 
E)  None of these are correct

When are two events mutually exclusive?

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.

When two or more events can occur concurrently it is called

A company has warehouses in four regions: South, Midwest, Rocky Mountain and Far West. One warehouse is to be selected at random to store a seldom-used item. The probability that the warehouse selected would be the one in the Far West region is_________ .

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?

Considering the chart below, what is the probability that if you select one person at random that they have committed a violent crime and were at least 20 years of age?

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?

If the set of events are collectively exhaustive and mutually exclusive, the sum of the probabilities equals_____ .

What does the complement rule state?

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?

You take a trip by air that involves three independent flights. If there is a 90 percent chance each specific leg of the trip is done on time, what is the probability all three flights are late?

Information on the 30 Major League Baseball teams for the 2003 season has been summarized based on game attendance. What is the probability that if a team is selected at random, it had a losing season and drew attendance of less than 2.0 million?

Considering the chart below, what is the probability that if you select one person at random that they have committed a violent crime and were at least 20 years of age?

What Is Statistics

Describing Data: Frequency Distributions and Graphic Presentation

Describing Data: Numerical Measures

Discrete Probability Distributions

The Normal Probability Distribution

Sampling Methods and the Central Limit Theorem

Estimation and Confidence Intervals

One-Sample Tests of a Hypothesis

Two-Sample Tests of Hypothesis

Analysis of Variance

Linear Regression and Correlation

Multiple Regression and Correlation Analysis

Chi-Square Applications for Nominal Data

Index Numbers

Time Series and Forecasting

An Introduction to Decision Theory

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Exam 4: A Survey of Probability Concepts

When are two events mutually exclusive?

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.

When two or more events can occur concurrently it is called

A company has warehouses in four regions: South, Midwest, Rocky Mountain and Far West. One warehouse is to be selected at random to store a seldom-used item. The probability that the warehouse selected would be the one in the Far West region is_________ .

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?

Considering the chart below, what is the probability that if you select one person at random that they have committed a violent crime and were at least 20 years of age?

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?

If the set of events are collectively exhaustive and mutually exclusive, the sum of the probabilities equals_____ .

What does the complement rule state?

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?

You take a trip by air that involves three independent flights. If there is a 90 percent chance each specific leg of the trip is done on time, what is the probability all three flights are late?

Information on the 30 Major League Baseball teams for the 2003 season has been summarized based on game attendance. What is the probability that if a team is selected at random, it had a losing season and drew attendance of less than 2.0 million?

Considering the chart below, what is the probability that if you select one person at random that they have committed a violent crime and were at least 20 years of age?

What Is Statistics

Describing Data: Frequency Distributions and Graphic Presentation

Describing Data: Numerical Measures

Discrete Probability Distributions

The Normal Probability Distribution

Sampling Methods and the Central Limit Theorem

Estimation and Confidence Intervals

One-Sample Tests of a Hypothesis

Two-Sample Tests of Hypothesis

Analysis of Variance

Linear Regression and Correlation

Multiple Regression and Correlation Analysis

Chi-Square Applications for Nominal Data

Index Numbers

Time Series and Forecasting

An Introduction to Decision Theory

Filters