Question 1

A visual means useful in calculating joint and conditional probability is

Accepted Answer

A)  a tree diagram. 
B)  a Venn diagram. 
C)  a histogram. 
D)  an inferential statistic. 
A)  a tree diagram. 
B)  a Venn diagram. 
C)  a histogram. 
D)  an inferential statistic.

Question 2

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)  $\bullet$ P(
B)  
D)  P(
A)  = P(
A) X + P(
B)  
A)  P(
A)  = P(
A)  -P(
B)  
B)  P(
A)  = 1 -P (not 
A)  
C)  P(
A)  = P(
A)  $\bullet$ P(
B)  
D)  P(
A)  = P(
A) X + P(
B)

Question 3

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?

Accepted Answer

A)  500/1,000 
B)  500/2,000 
C)  1,200/2,000 
D)  500/1,200 
E)  800/2000 
A)  500/1,000 
B)  500/2,000 
C)  1,200/2,000 
D)  500/1,200 
E)  800/2000

Question 4

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 under 20 or over 40 years of age?

Accepted Answer

A)  18.01% 
B)  56.23% 
C)  50.00% 
D)  9.3% 
A)  18.01% 
B)  56.23% 
C)  50.00% 
D)  9.3%

Question 5

A study was done of the 377 vehicles parked in the college parking lot last Friday. The results follow.   What is the probability of finding a sports car, given that you are looking for a red car?

Accepted Answer

A)  15/47 
B)  15/121 
C)  15/377 
D)  153/377 
A)  15/47 
B)  15/121 
C)  15/377 
D)  153/377

Question 6

Considering the chart below, what is the probability that if you select one person at random that they have committed a nonviolent crime?

Accepted Answer

A)  54.7% 
B)  45.3% 
C)  36.7% 
D)  53.3% 
A)  54.7% 
B)  45.3% 
C)  36.7% 
D)  53.3%

Question 7

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?

Accepted Answer

A)  1/120 or 0.00083 
B)  1/16 or 0.0625 
C)  1/8 or 0.125 
D)  1/495 or 0.002 
A)  1/120 or 0.00083 
B)  1/16 or 0.0625 
C)  1/8 or 0.125 
D)  1/495 or 0.002

Question 8

Considering the chart below, what is the probability that if you select one person at random that they committed a nonviolent crime, given that they were under 20 years of age?

Accepted Answer

A)  74.00% 
B)  69.2% 
C)  30.8% 
D)  9.3% 
A)  74.00% 
B)  69.2% 
C)  30.8% 
D)  9.3%

Question 9

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?

Accepted Answer

A)  325/500 
B)  165/500 
C)  175/500 
D)  235/500 
E)  100/165 
A)  325/500 
B)  165/500 
C)  175/500 
D)  235/500 
E)  100/165

Question 10

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.

Accepted Answer

A)  500/1,000 
B)  500/2,000 
C)  1,200/2,000 
D)  500/1,200 
A)  500/1,000 
B)  500/2,000 
C)  1,200/2,000 
D)  500/1,200

Question 11

(i. 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 0.20. (ii) One card from a standard 52-card deck of cards is to be selected at random. The probability that it will be the jack of hearts is 1/52 or 0.0192.
(iii) An activity that is measured or observed is called a(n) experiment.

Accepted Answer

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)  (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

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 production?

Accepted Answer

A)  0.00 
B)  0.06 
C)  0.15 
D)  0.21 
A)  0.00 
B)  0.06 
C)  0.15 
D)  0.21

Question 13

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.   If one person is randomly selected, what is the likelihood that the caller first heard about the report from Television, given that the topic of interest is personal tax?

Accepted Answer

A)  40/235 
B)  26/100 
C)  20/100 
D)  20/235 
A)  40/235 
B)  26/100 
C)  20/100 
D)  20/235

Question 14

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?

Accepted Answer

A)  0.200 
B)  0.015 
C)  0.059 
D)  0.001 
A)  0.200 
B)  0.015 
C)  0.059 
D)  0.001

Question 15

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?

Accepted Answer

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

Question 16

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.

Accepted Answer

A)  75/400 
B)  175/400 
C)  150/500 
D)  325/500 
A)  75/400 
B)  175/400 
C)  150/500 
D)  325/500

Question 17

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?

Accepted Answer

A)  0.900 
B)  0.810 
C)  0.729 
D)  0.075 
A)  0.900 
B)  0.810 
C)  0.729 
D)  0.075

Question 18

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 married if the customer is male.

Accepted Answer

A)  125/240 
B)  175/400 
C)  125/175 
D)  175/240 
A)  125/240 
B)  175/400 
C)  125/175 
D)  175/240

Question 19

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?

Accepted Answer

A)  389/505 
B)  389/1,118 
C)  389/2,000 
D)  1,234/2,000 
A)  389/505 
B)  389/1,118 
C)  389/2,000 
D)  1,234/2,000

Question 20

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 
A)  120 
B)  2,520 
C)  6,740 
D)  36

A visual means useful in calculating joint and conditional probability is

What does the complement rule state?

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?

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 under 20 or over 40 years of age?

A study was done of the 377 vehicles parked in the college parking lot last Friday. The results follow. What is the probability of finding a sports car, given that you are looking for a red car?

Considering the chart below, what is the probability that if you select one person at random that they have committed a nonviolent crime?

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?

Considering the chart below, what is the probability that if you select one person at random that they committed a nonviolent crime, given that they were under 20 years of age?

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.

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.

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?

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 married if the customer is male.

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?

What Is Statistics

Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation

Describing Data: Numerical Measures

Discrete Probability Distributions

Continuous Probability Distributions

Sampling Methods and the Central Limit Theorem

Estimation and Confidence Intervals

One-Sample Tests of Hypothesis

Two-Sample Tests of Hypothesis

Analysis of Variance

Linear Regression and Correlation

Multiple Regression and Correlation Analysis

Chi-Square Applications

Index Numbers

Time Series and Forecasting

An Introduction to Decision Theory

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Exam 4: A Survey of Probability Concepts

A visual means useful in calculating joint and conditional probability is

What does the complement rule state?

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?

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 under 20 or over 40 years of age?

A study was done of the 377 vehicles parked in the college parking lot last Friday. The results follow. What is the probability of finding a sports car, given that you are looking for a red car?

Considering the chart below, what is the probability that if you select one person at random that they have committed a nonviolent crime?

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?

Considering the chart below, what is the probability that if you select one person at random that they committed a nonviolent crime, given that they were under 20 years of age?

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.

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.

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?

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 married if the customer is male.

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?

What Is Statistics

Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation

Describing Data: Numerical Measures

Discrete Probability Distributions

Continuous Probability Distributions

Sampling Methods and the Central Limit Theorem

Estimation and Confidence Intervals

One-Sample Tests of Hypothesis

Two-Sample Tests of Hypothesis

Analysis of Variance

Linear Regression and Correlation

Multiple Regression and Correlation Analysis

Chi-Square Applications

Index Numbers

Time Series and Forecasting

An Introduction to Decision Theory

Filters