Question 1

The ________ of two events A and B is the event that consists of the sample space outcomes belonging to both event A and event B.

Accepted Answer

A)  union 
B)  intersection 
C)  complement 
D)  mutual exclusivity 
A)  union 
B)  intersection 
C)  complement 
D)  mutual exclusivity B

Question 2

Container 1 has 8 items, 3 of which are defective. Container 2 has 5 items, 2 of which are defective. If one item is drawn from each container, what is the probability that the item from Container 1 is defective and the item from Container 2 is not defective?

Accepted Answer

A)  0.3846 
B)  0.2250 
C)  0.3750 
D)  0.6154 
E)  0.1500 
A)  0.3846 
B)  0.2250 
C)  0.3750 
D)  0.6154 
E)  0.1500 B

Question 3

A random variable is a numerical value that is determined by the outcome of an experiment.

Accepted Answer

A) True 
 B)False  True

Question 4

What is the probability of winning four games in a row, if the probability of winning each game individually is 1/2?

Accepted Answer

A)  1/4 
B)  1/8 
C)  1/2 
D)  3/16 
E)  1/16 
A)  1/4 
B)  1/8 
C)  1/2 
D)  3/16 
E)  1/16

Question 5

In a major midwestern university, 55 percent of all undergraduates are female, 25 percent of all undergraduates belong to a Greek organization (fraternity or sorority), and 40 percent of all males belong to a Greek organization. What percentage of the undergraduates are female and in a Greek organization?

Accepted Answer

A)  55% 
B)  25% 
C)  60% 
D)  7% 
E)  15% 
A)  55% 
B)  25% 
C)  60% 
D)  7% 
E)  15%

Question 6

Joe is considering pursuing an MBA degree. He has applied to two different universities. The acceptance rate for applicants with similar qualifications is 25 percent for University A and 40 percent for University B. What is the probability that Joe will be accepted at one, and only one, university?

Accepted Answer

A)  0.50 
B)  0.10 
C)  0.15 
D)  0.30 
E)  0.45 
A)  0.50 
B)  0.10 
C)  0.15 
D)  0.30 
E)  0.45

Question 7

A letter is drawn from the alphabet of 26 letters. What is the probability that the letter drawn is a vowel?

Accepted Answer

A)  5/26 
B)  1/26 
C)  4/26 
D)  21/26 
A)  5/26 
B)  1/26 
C)  4/26 
D)  21/26

Question 8

A(n) ________ is the set of all of the distinct possible outcomes of an experiment.

Accepted Answer

A)  sample space 
B)  union 
C)  intersection 
D)  observation 
A)  sample space 
B)  union 
C)  intersection 
D)  observation

Question 9

Suppose that A1, A2, and B are events where A1 and A2 are mutually exclusive events and P(A1) = .7, P(A2) = .3, P(B│A1) = .2, P(B│A2) = .4. Find P(B).

Accepted Answer

A)  0.60 
B)  0.26 
C)  0.21 
D)  0.14 
E)  0.28 
A)  0.60 
B)  0.26 
C)  0.21 
D)  0.14 
E)  0.28

Question 10

A person is dealt 5 cards from a deck of 52 cards. What is the probability they are all clubs?

Accepted Answer

A)  0.2500 
B)  0.0962 
C)  0.0769 
D)  0.0010 
E)  0.0005 
A)  0.2500 
B)  0.0962 
C)  0.0769 
D)  0.0010 
E)  0.0005

Question 11

If events A and B are mutually exclusive, then P(A|B) is always equal to zero.

Accepted Answer

A) True 
 B)False

Question 12

Determine whether these two events are mutually exclusive: voter who favors gun control and an unregistered voter.

Accepted Answer

A)  mutually exclusive 
B)  not mutually exclusive 
A)  mutually exclusive 
B)  not mutually exclusive

Question 13

The probability model describing an experiment consists of

Accepted Answer

A)  sample space. 
B)  probabilities of the sample space outcomes. 
C)  sample space and probabilities of the sample space outcomes. 
D)  independent events. 
E)  random variables. 
A)  sample space. 
B)  probabilities of the sample space outcomes. 
C)  sample space and probabilities of the sample space outcomes. 
D)  independent events. 
E)  random variables.

Question 14

In a study of chain saw injuries, 57 percent involved arms or hands. If three different chain saw injury cases are randomly selected, find the probability that they all involved arms or hands.

Accepted Answer

A)  0.570 
B)  0.190 
C)  0.185 
D)  0.829 
E)  0.325 
A)  0.570 
B)  0.190 
C)  0.185 
D)  0.829 
E)  0.325

Question 15

A ________ is a measure of the chance that an uncertain event will occur.

Accepted Answer

A)  random experiment 
B)  sample space 
C)  probability 
D)  complement 
E)  population 
A)  random experiment 
B)  sample space 
C)  probability 
D)  complement 
E)  population

Question 16

If P(A) > 0 and P(B) > 0 and events A and B are independent, then ________.

Accepted Answer

A)  P(
A)  = P(
B)  
B)  P(A|
B)  = P(
A)  
C)  P(A∩
B)  = 0 
D)  P(A∩
B)  = P(
A)  P(B∪
A)  
A)  P(
A)  = P(
B)  
B)  P(A|
B)  = P(
A)  
C)  P(A∩
B)  = 0 
D)  P(A∩
B)  = P(
A)  P(B∪
A)

Question 17

A manager has just received the expense checks for six of her employees. She randomly distributes the checks to the six employees. What is the probability that exactly five of them will receive the correct checks (checks with the correct names)?

Accepted Answer

A)  1 
B)  1/2 
C)  1/6 
D)  0 
E)  1/3 
A)  1 
B)  1/2 
C)  1/6 
D)  0 
E)  1/3

Question 18

Three companies produce all the potato chips used by vending machines in public areas in a midwestern state. Company A accounts for 70 percent of the chips, Company B 19 percent, and Company C 11 percent. The probability of the vending company getting an unfilled bag is 2 percent for Company A, 2 percent for Company B, and 4 percent for Company C. Suppose an unfilled bag is found. What is the probability that it came from Company B?

Accepted Answer

.17
P(A) = .70
P(B) = .19
P(C)

Question 19

Consider a standard deck of 52 playing cards, a randomly selected card from the deck, and the following events: R = red, B = black, A = ace, N = nine, D = diamond, and C = club. Are N and C mutually exclusive?

Accepted Answer

A)  Yes, mutually exclusive. 
B)  No, not mutually exclusive. 
A)  Yes, mutually exclusive. 
B)  No, not mutually exclusive.

Question 20

In which of the following are the two events A and B always independent?

Accepted Answer

A)  A and B are mutually exclusive. 
B)  The probability of event A is influenced by the probability of event B. 
C)  The intersection of A and B is zero. 
D)  P(A|
B)  = P(B|
A) . 
E)  The probability of event A is not influenced by whether event B occurs, or P(A|
B)  = P(
A) . 
A)  A and B are mutually exclusive. 
B)  The probability of event A is influenced by the probability of event B. 
C)  The intersection of A and B is zero. 
D)  P(A|
B)  = P(B|
A) . 
E)  The probability of event A is not influenced by whether event B occurs, or P(A|
B)  = P(
A) .

The ________ of two events A and B is the event that consists of the sample space outcomes belonging to both event A and event B.

Container 1 has 8 items, 3 of which are defective. Container 2 has 5 items, 2 of which are defective. If one item is drawn from each container, what is the probability that the item from Container 1 is defective and the item from Container 2 is not defective?

A random variable is a numerical value that is determined by the outcome of an experiment.

What is the probability of winning four games in a row, if the probability of winning each game individually is 1/2?

Joe is considering pursuing an MBA degree. He has applied to two different universities. The acceptance rate for applicants with similar qualifications is 25 percent for University A and 40 percent for University B. What is the probability that Joe will be accepted at one, and only one, university?

A letter is drawn from the alphabet of 26 letters. What is the probability that the letter drawn is a vowel?

A(n) ________ is the set of all of the distinct possible outcomes of an experiment.

Suppose that A₁, A₂, and B are events where A₁ and A₂ are mutually exclusive events and P(A₁) = .7, P(A₂) = .3, P(B│A₁) = .2, P(B│A₂) = .4. Find P(B).

A person is dealt 5 cards from a deck of 52 cards. What is the probability they are all clubs?

If events A and B are mutually exclusive, then P(A|B) is always equal to zero.

Determine whether these two events are mutually exclusive: voter who favors gun control and an unregistered voter.

The probability model describing an experiment consists of

In a study of chain saw injuries, 57 percent involved arms or hands. If three different chain saw injury cases are randomly selected, find the probability that they all involved arms or hands.

A ________ is a measure of the chance that an uncertain event will occur.

If P(A) > 0 and P(B) > 0 and events A and B are independent, then ________.

A manager has just received the expense checks for six of her employees. She randomly distributes the checks to the six employees. What is the probability that exactly five of them will receive the correct checks (checks with the correct names)?

Consider a standard deck of 52 playing cards, a randomly selected card from the deck, and the following events: R = red, B = black, A = ace, N = nine, D = diamond, and C = club. Are N and C mutually exclusive?

In which of the following are the two events A and B always independent?

An Introduction to Business Statistics and Analytics

Descriptive Statistics and Analytics: Tabular and Graphical Methods

Descriptive Statistics and Analytics: Numerical Methods

Predictive Analytics I: Trees, K-Nearest Neighbors, Naive Bayes,

Discrete Random Variables

Continuous Random Variables

Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Predictive Analytics Ii: Logistic Regression, Discriminate Analysis,

Time Series Forecasting and Index Numbers

Nonparametric Methods

Decision Theory

Filters

Exam 4: Probability and Probability Models

The ________ of two events A and B is the event that consists of the sample space outcomes belonging to both event A and event B.

Container 1 has 8 items, 3 of which are defective. Container 2 has 5 items, 2 of which are defective. If one item is drawn from each container, what is the probability that the item from Container 1 is defective and the item from Container 2 is not defective?

A random variable is a numerical value that is determined by the outcome of an experiment.

What is the probability of winning four games in a row, if the probability of winning each game individually is 1/2?

Joe is considering pursuing an MBA degree. He has applied to two different universities. The acceptance rate for applicants with similar qualifications is 25 percent for University A and 40 percent for University B. What is the probability that Joe will be accepted at one, and only one, university?

A letter is drawn from the alphabet of 26 letters. What is the probability that the letter drawn is a vowel?

A(n) ________ is the set of all of the distinct possible outcomes of an experiment.

Suppose that A1, A2, and B are events where A1 and A2 are mutually exclusive events and P(A1) = .7, P(A2) = .3, P(B│A1) = .2, P(B│A2) = .4. Find P(B).

A person is dealt 5 cards from a deck of 52 cards. What is the probability they are all clubs?

If events A and B are mutually exclusive, then P(A|B) is always equal to zero.

Determine whether these two events are mutually exclusive: voter who favors gun control and an unregistered voter.

The probability model describing an experiment consists of

In a study of chain saw injuries, 57 percent involved arms or hands. If three different chain saw injury cases are randomly selected, find the probability that they all involved arms or hands.

A ________ is a measure of the chance that an uncertain event will occur.

If P(A) > 0 and P(B) > 0 and events A and B are independent, then ________.

A manager has just received the expense checks for six of her employees. She randomly distributes the checks to the six employees. What is the probability that exactly five of them will receive the correct checks (checks with the correct names)?

Consider a standard deck of 52 playing cards, a randomly selected card from the deck, and the following events: R = red, B = black, A = ace, N = nine, D = diamond, and C = club. Are N and C mutually exclusive?

In which of the following are the two events A and B always independent?

An Introduction to Business Statistics and Analytics

Descriptive Statistics and Analytics: Tabular and Graphical Methods

Descriptive Statistics and Analytics: Numerical Methods

Predictive Analytics I: Trees, K-Nearest Neighbors, Naive Bayes,

Discrete Random Variables

Continuous Random Variables

Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Predictive Analytics Ii: Logistic Regression, Discriminate Analysis,

Time Series Forecasting and Index Numbers

Nonparametric Methods

Decision Theory

Filters

Suppose that A₁, A₂, and B are events where A₁ and A₂ are mutually exclusive events and P(A₁) = .7, P(A₂) = .3, P(B│A₁) = .2, P(B│A₂) = .4. Find P(B).