Question 1

What is probability?

Accepted Answer

A) Any value between 0 and 1 is always treated as a probability of an event. 
B) A numerical value assigned to an event that measures the number of its occurrences. 
C) A value between 0 and 1 assigned to an event that measures the likelihood of its occurrence. 
D) A value between 0 and 1 assigned to an event that measures the unlikelihood of its occurrence. 
A) Any value between 0 and 1 is always treated as a probability of an event. 
B) A numerical value assigned to an event that measures the number of its occurrences. 
C) A value between 0 and 1 assigned to an event that measures the likelihood of its occurrence. 
D) A value between 0 and 1 assigned to an event that measures the unlikelihood of its occurrence.

Question 2

Exhibit 4-2.Mark Zuckerberg,the founder of Facebook,has announced that he will eat meat only from animals that he has killed himself (Vanity Fair,November 2011).Suppose 257 people were asked: "Does the idea of killing your own food appeal to you,or not?" The accompanying contingency table,cross-classified by gender,is produced from the 187 respondents.   Refer to Exhibit 4-2.Given that the respondent is male,the probability that he feels that the idea of killing his own food is appealing is closest to ____.

Accepted Answer

A) 0.19 
B) 0.38 
C) 0.59 
D) 0.64 
A) 0.19 
B) 0.38 
C) 0.59 
D) 0.64

Question 3

Let   ,and   .Compute   .

Accepted Answer

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

Question 4

Exams are approaching and Helen is allocating time to studying for exams.She feels that with the appropriate amount of studying,she has a 70% chance of getting an A,and a 20% chance of getting a B in Marketing.What is the probability that Helen gets an A or a B in Marketing?

Accepted Answer

The answer of Exams are approaching and Helen is allocating...

Question 5

The contingency table below provides frequencies for the preferred type of exercise for people under the age of 35 and those 35 years of age or older.Find the probability that an individual prefers running.

Accepted Answer

A) 0.3159 
B) 0.3915 
C) 0.6085 
D) 0.6805 
A) 0.3159 
B) 0.3915 
C) 0.6085 
D) 0.6805

Question 6

Exams are approaching and Helen is allocating time to studying for exams.She plays for the very successful women's lacrosse team,and must schedule her studying around lacrosse practices and play-off games.The entire team assumes that the probability of making the play-offs is 50%.Helen feels that with the appropriate preparation,she has a 70% chance of getting an A in Marketing,but this chance decreases to 60% if the lacrosse team makes the play-offs.Find the probability of getting an A in Marketing and making the lacrosse play-offs.

Accepted Answer

The answer of Exams are approaching and Helen is allocating...

Question 7

A certain weightlifter is prone to back injury.He finds that he has a 20% chance of hurting his back given he uses the proper form of bending at the hips and keeping his spine locked.The probability he hurts his back with bad form is 95%.The probability he uses proper form is 75%.What is the probability he hurts his back?

Accepted Answer

The answer of A certain weightlifter is prone to back...

Question 8

Approximately 70% of the state of Pennsylvania sits on a shale formation from which natural gas may be extracted.If a geological test is positive,it has an 80% accuracy rate in correctly identifying a productive drilling site (shale is under the ground).If there is no shale under the ground,geological testing is falsely positive with a probability of 20%.Suppose the result of the geological test comes back positive (the test says there is shale under the ground).It is most important for us to know the probability that there is indeed shale under the ground given a positive geological test result.Find this probability.

Accepted Answer

The answer of Approximately 70% of the state of Pennsylvania...

Question 9

A small company that manufactures juggling equipment makes seven different types of clubs.The company wants to start an ad campaign that emphasizes the myriad combinations the avid juggler can create with the company's clubs.If a juggler wishes to juggle 4 clubs,each of a different type,how many different combinations of the company's clubs can he or she make?

Accepted Answer

A) 7 
B) 28 
C) 35 
D) 210 
A) 7 
B) 28 
C) 35 
D) 210

Question 10

Mutually exclusive and collectively exhaustive events contain all outcomes of a sample space,and they do not share any common outcomes.

Accepted Answer

A) True 
 B)False

Question 11

The intersection of events A = {apple pie,peach pie,pumpkin pie} and B = {cherry pie,blueberry pie,pumpkin pie} is ____________.

Accepted Answer

A) {pumpkin pie} 
B) {apple pie,peach pie,cherry pie,blueberry pie} 
C) {apple pie,peach pie,pumpkin pie,cherry pie,blueberry pie} 
D) {apple pie,peach pie,pumpkin pie,cherry pie,blueberry pie,pumpkin pie} 
A) {pumpkin pie} 
B) {apple pie,peach pie,cherry pie,blueberry pie} 
C) {apple pie,peach pie,pumpkin pie,cherry pie,blueberry pie} 
D) {apple pie,peach pie,pumpkin pie,cherry pie,blueberry pie,pumpkin pie}

Question 12

The following probability table shows probabilities concerning Favorite Subject and Gender.What is the probability of selecting an individual preferring science given that he/she is a female?

Accepted Answer

A) 0.2609 
B) 0.4615 
C) 0.5385 
D) 0.7391 
A) 0.2609 
B) 0.4615 
C) 0.5385 
D) 0.7391

Question 13

A sample space contains _________________.

Accepted Answer

A) Outcomes of the relevant events 
B) Several outcomes of an experiment 
C) All possible outcomes of an experiment 
D) One of several outcomes of an experiment 
A) Outcomes of the relevant events 
B) Several outcomes of an experiment 
C) All possible outcomes of an experiment 
D) One of several outcomes of an experiment

Question 14

Peter applied to an accounting firm and a consulting firm.He knows that 30% of similarly qualified applicants receive job offers from the accounting firm,while only 20% of similarly qualified applicants receive job offers from the consulting firm.Assume that receiving an offer from one firm is independent of receiving an offer from the other.What is the probability that both firms offer Peter a job?

Accepted Answer

A) 0.05 
B) 0.06 
C) 0.44 
D) 0.50 
A) 0.05 
B) 0.06 
C) 0.44 
D) 0.50

Question 15

Exhibit 4-1.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.   Refer to Exhibit 4-1.The probability that a respondent read a book in the last month and is at least 30 years old is closest to _______.

Accepted Answer

A) 0.12 
B) 0.33 
C) 0.46 
D) 0.88 
A) 0.12 
B) 0.33 
C) 0.46 
D) 0.88

Question 16

Mutually exclusive events _____________.

Accepted Answer

A) Contain all possible outcomes 
B) May share common outcomes 
C) Do not share common outcomes 
D) Do not contain all possible outcomes 
A) Contain all possible outcomes 
B) May share common outcomes 
C) Do not share common outcomes 
D) Do not contain all possible outcomes

Question 17

For an experiment in which a single die is rolled,the sample space may be {1,1,2,3,4,5}.

Accepted Answer

A) True 
 B)False

Question 18

Let A and B be two independent events with P(A)= 0.40 and P(B)= 0.20.Therefore,__________.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 19

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 1 in 6. 
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 3-in-5 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 1 in 6. 
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 3-in-5 chance of retaining an employee for at least one year.

Question 20

How many ways can a committee of four students be selected from a 15-member club?

Accepted Answer

A) 15!/44! 
B) 15!/(4! × 11!) 
C) 15 × 14 × 13 
D) B and C 
A) 15!/44! 
B) 15!/(4! × 11!) 
C) 15 × 14 × 13 
D) B and C

What is probability?

Let ,and .Compute .

Exams are approaching and Helen is allocating time to studying for exams.She feels that with the appropriate amount of studying,she has a 70% chance of getting an A,and a 20% chance of getting a B in Marketing.What is the probability that Helen gets an A or a B in Marketing?

The contingency table below provides frequencies for the preferred type of exercise for people under the age of 35 and those 35 years of age or older.Find the probability that an individual prefers running.

Mutually exclusive and collectively exhaustive events contain all outcomes of a sample space,and they do not share any common outcomes.

The intersection of events A = {apple pie,peach pie,pumpkin pie} and B = {cherry pie,blueberry pie,pumpkin pie} is ____________.

The following probability table shows probabilities concerning Favorite Subject and Gender.What is the probability of selecting an individual preferring science given that he/she is a female?

A sample space contains _________________.

Exhibit 4-1.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. Refer to Exhibit 4-1.The probability that a respondent read a book in the last month and is at least 30 years old is closest to _______.

Mutually exclusive events _____________.

For an experiment in which a single die is rolled,the sample space may be {1,1,2,3,4,5}.

Let A and B be two independent events with P(A)= 0.40 and P(B)= 0.20.Therefore,__________.

Which of the following represents an empirical probability?

How many ways can a committee of four students be selected from a 15-member club?

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: Basic Probability Concepts

What is probability?

Let ,and .Compute .

Exams are approaching and Helen is allocating time to studying for exams.She feels that with the appropriate amount of studying,she has a 70% chance of getting an A,and a 20% chance of getting a B in Marketing.What is the probability that Helen gets an A or a B in Marketing?

The contingency table below provides frequencies for the preferred type of exercise for people under the age of 35 and those 35 years of age or older.Find the probability that an individual prefers running.

Mutually exclusive and collectively exhaustive events contain all outcomes of a sample space,and they do not share any common outcomes.

The intersection of events A = {apple pie,peach pie,pumpkin pie} and B = {cherry pie,blueberry pie,pumpkin pie} is ____________.

The following probability table shows probabilities concerning Favorite Subject and Gender.What is the probability of selecting an individual preferring science given that he/she is a female?

A sample space contains _________________.

Exhibit 4-1.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. Refer to Exhibit 4-1.The probability that a respondent read a book in the last month and is at least 30 years old is closest to _______.

Mutually exclusive events _____________.

For an experiment in which a single die is rolled,the sample space may be {1,1,2,3,4,5}.

Let A and B be two independent events with P(A)= 0.40 and P(B)= 0.20.Therefore,__________.

Which of the following represents an empirical probability?

How many ways can a committee of four students be selected from a 15-member club?

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