Question 1

Two events A and B are independent if the probability of one does not influence the probability of the other.

Accepted Answer

A) True 
 B)False

Question 2

0! = 0.

Accepted Answer

A) True 
 B)False

Question 3

An experiment consists of rolling a fair die. Find the probability that we roll a 4 or a 6.

Accepted Answer

The answer of An experiment consists of rolling a fair...

Question 4

Events are exhaustive if they do not share common outcomes of a sample space.

Accepted Answer

A) True 
 B)False

Question 5

Which of the following represents an empirical probability?

Accepted Answer

A)  The probability of tossing a head on a coin is 0.5. 
B)  The probability of rolling a 2 on a single die is one in six. 
C)  A skier believes she has a 0.10 chance of winning a gold medal. 
D)  Based on past observation, a manager believes there is a three-in-five chance of retaining an employee for at least one year. 
A)  The probability of tossing a head on a coin is 0.5. 
B)  The probability of rolling a 2 on a single die is one in six. 
C)  A skier believes she has a 0.10 chance of winning a gold medal. 
D)  Based on past observation, a manager believes there is a three-in-five chance of retaining an employee for at least one year.

Question 6

There are three unfilled seats on a small plane, but 10 people showed up to try to get one of those three unfilled seats. If the airline picks three people at random to get on the plane, what is the probability you and your two kids will get on the plane?

Accepted Answer

The answer of There are three unfilled seats on a...

Question 7

There are 30 Major League Baseball teams in the National League. Five of these teams will make the playoffs at the end of the season. The number of unique groups of teams that can make the playoffs is ________.

Accepted Answer

A)  142,506 
B)  252,640 
C)  752,988 
D)  17,100,720 
A)  142,506 
B)  252,640 
C)  752,988 
D)  17,100,720

Question 8

An intuitive way to express the total probability rule is with the help of a ________.

Accepted Answer

The answer of An intuitive way to express the total...

Question 9

Two hundred people were asked if they had read a book in the last month. The accompanying contingency table, cross-classified by age, is produced.   The probability that a respondent is at least 30 years old is the closest to ________.

Accepted Answer

A)  0.33 
B)  0.46 
C)  0.50 
D)  0.65 
A)  0.33 
B)  0.46 
C)  0.50 
D)  0.65

Question 10

Suppose that 60% of the students do homework regularly. It is also known that 80% of students who had been doing homework regularly, end up doing well in the course. Only 20% of students who had not been doing homework regularly end up doing well in the course. Given that a student did well in the course, what is the probability that the student had been doing homework regularly?

Accepted Answer

A)  0.286 
B)  0.857 
C)  0.143 
D)  0.429 
A)  0.286 
B)  0.857 
C)  0.143 
D)  0.429

Question 11

A probability based on logical analysis rather than on observation or personal judgment is best referred to as a(n) ________.

Accepted Answer

A)  classical probability 
B)  empirical probability 
C)  subjective probability 
D)  None of the above 
A)  classical probability 
B)  empirical probability 
C)  subjective probability 
D)  None of the above

Question 12

The following contingency table provides frequencies for the preferred type of exercise for people under the age of 35 and those 35 years of age or older. Here xx and yy represent missing values.   Determine whether selecting an individual under 35 is independent of selecting an individual who prefers swimming.

Accepted Answer

Selecting a 35-or-older indivi

Question 13

The odds against winning $1.00 in the lottery are 19 to 1. What is the probability of winning $1.00 in the lottery?

Accepted Answer

A)  0.05 
B)  0.0526 
C)  0.90 
D)  0.95 
A)  0.05 
B)  0.0526 
C)  0.90 
D)  0.95

Question 14

The following probability table shows probabilities concerning Favorite Subject and Gender. What is the probability of selecting an individual who is a female or prefers science?

Accepted Answer

A)  0.250 
B)  0.375 
C)  0.625 
D)  0.750 
A)  0.250 
B)  0.375 
C)  0.625 
D)  0.750

Question 15

What is a simple event?

Accepted Answer

A)  An event that contains all outcomes of a sample space 
B)  An event that contains several outcomes of a sample space 
C)  An event that contains only one outcome of a sample space 
D)  All of the above 
A)  An event that contains all outcomes of a sample space 
B)  An event that contains several outcomes of a sample space 
C)  An event that contains only one outcome of a sample space 
D)  All of the above

Question 16

An experiment consists of tossing a fair coin and rolling a fair die. Find the probability of tossing a head and rolling a 6.

Accepted Answer

The answer of An experiment consists of tossing a fair...

Question 17

Suppose that 60% of the students do homework regularly. It is also known that 80% of students who had been doing homework regularly end up doing well in the course. Only 20% of students who had not been doing homework regularly end up doing well in the course. What is the probability that a student does well in the course?

Accepted Answer

A)  0.080 
B)  0.480 
C)  0.560 
D)  0.857 
A)  0.080 
B)  0.480 
C)  0.560 
D)  0.857

Question 18

Which of the following are mutually exclusive events of an experiment in which two coins are tossed?

Accepted Answer

A)  {TT, HH} and {TT} 
B)  {HT, TH} and {TH} 
C)  {TT, HT} and (HT} 
D)  (TT, HH} and {TH} 
A)  {TT, HH} and {TT} 
B)  {HT, TH} and {TH} 
C)  {TT, HT} and (HT} 
D)  (TT, HH} and {TH}

Question 19

Which of the following sets of outcomes described below in I and II represent mutually exclusive events? I. "Your final course grade is an A"; "Your final course grade is a B."
II) "Your final course grade is an A"; "Your final course grade is a Pass."

Accepted Answer

A)  Neither I nor II represent mutually exclusive events. 
B)  Both I and II represent mutually exclusive events. 
C)  Only I represents mutually exclusive events. 
D)  Only II represents mutually exclusive events. 
A)  Neither I nor II represent mutually exclusive events. 
B)  Both I and II represent mutually exclusive events. 
C)  Only I represents mutually exclusive events. 
D)  Only II represents mutually exclusive events.

Question 20

For an experiment in which a single die is rolled, the sample space is ________.

Accepted Answer

A)  {1, 1, 3, 4, 5, 6}. 
B)  {2, 1, 3, 6, 5, 4}. 
C)  {1, 2, 3, 4, 4, 5}. 
D)  All of the above 
A)  {1, 1, 3, 4, 5, 6}. 
B)  {2, 1, 3, 6, 5, 4}. 
C)  {1, 2, 3, 4, 4, 5}. 
D)  All of the above

Two events A and B are independent if the probability of one does not influence the probability of the other.

0! = 0.

An experiment consists of rolling a fair die. Find the probability that we roll a 4 or a 6.

Events are exhaustive if they do not share common outcomes of a sample space.

Which of the following represents an empirical probability?

There are three unfilled seats on a small plane, but 10 people showed up to try to get one of those three unfilled seats. If the airline picks three people at random to get on the plane, what is the probability you and your two kids will get on the plane?

There are 30 Major League Baseball teams in the National League. Five of these teams will make the playoffs at the end of the season. The number of unique groups of teams that can make the playoffs is ________.

An intuitive way to express the total probability rule is with the help of a ________.

Two hundred people were asked if they had read a book in the last month. The accompanying contingency table, cross-classified by age, is produced. The probability that a respondent is at least 30 years old is the closest to ________.

A probability based on logical analysis rather than on observation or personal judgment is best referred to as a(n) ________.

The odds against winning $1.00 in the lottery are 19 to 1. What is the probability of winning $1.00 in the lottery?

The following probability table shows probabilities concerning Favorite Subject and Gender. What is the probability of selecting an individual who is a female or prefers science?

What is a simple event?

An experiment consists of tossing a fair coin and rolling a fair die. Find the probability of tossing a head and rolling a 6.

Which of the following are mutually exclusive events of an experiment in which two coins are tossed?

Which of the following sets of outcomes described below in I and II represent mutually exclusive events? I. "Your final course grade is an A"; "Your final course grade is a B." II) "Your final course grade is an A"; "Your final course grade is a Pass."

For an experiment in which a single die is rolled, the sample space is ________.

Statistics and Data

Tabular and Graphical Methods

Numerical Descriptive Measures

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Testing

Statistical Inference Concerning Two Populations

Statistical Inference Concerning Variance

Chi-Square Tests

Analysis of Variance

Regression Analysis

Inference With Regression Models

Regression Models for Nonlinear Relationships

Regression Models With Dummy Variables

Time Series and Forecasting

Returns, Index Numbers, and Inflation

Nonparametric Tests

Filters

Exam 4: Introduction to Probability

Two events A and B are independent if the probability of one does not influence the probability of the other.

0! = 0.

An experiment consists of rolling a fair die. Find the probability that we roll a 4 or a 6.

Events are exhaustive if they do not share common outcomes of a sample space.

Which of the following represents an empirical probability?

There are three unfilled seats on a small plane, but 10 people showed up to try to get one of those three unfilled seats. If the airline picks three people at random to get on the plane, what is the probability you and your two kids will get on the plane?

There are 30 Major League Baseball teams in the National League. Five of these teams will make the playoffs at the end of the season. The number of unique groups of teams that can make the playoffs is ________.

An intuitive way to express the total probability rule is with the help of a ________.

Two hundred people were asked if they had read a book in the last month. The accompanying contingency table, cross-classified by age, is produced. The probability that a respondent is at least 30 years old is the closest to ________.

A probability based on logical analysis rather than on observation or personal judgment is best referred to as a(n) ________.

The odds against winning $1.00 in the lottery are 19 to 1. What is the probability of winning $1.00 in the lottery?

The following probability table shows probabilities concerning Favorite Subject and Gender. What is the probability of selecting an individual who is a female or prefers science?

What is a simple event?

An experiment consists of tossing a fair coin and rolling a fair die. Find the probability of tossing a head and rolling a 6.

Which of the following are mutually exclusive events of an experiment in which two coins are tossed?

Which of the following sets of outcomes described below in I and II represent mutually exclusive events? I. "Your final course grade is an A"; "Your final course grade is a B." II) "Your final course grade is an A"; "Your final course grade is a Pass."

For an experiment in which a single die is rolled, the sample space is ________.

Statistics and Data

Tabular and Graphical Methods

Numerical Descriptive Measures

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Testing

Statistical Inference Concerning Two Populations

Statistical Inference Concerning Variance

Chi-Square Tests

Analysis of Variance

Regression Analysis

Inference With Regression Models

Regression Models for Nonlinear Relationships

Regression Models With Dummy Variables

Time Series and Forecasting

Returns, Index Numbers, and Inflation

Nonparametric Tests

Filters