Question 1

Permutations are used when the order in which different objects are arranged matters.

Accepted Answer

A) True 
 B)False  True

Question 2

Mutually exclusive and collectively exhaustive events ______________.

Accepted Answer

A) Contain all outcomes in a sample space and may share common outcomes 
B) Contain all outcomes in a sample space and do not share common outcomes 
C) Do not have to contain all outcomes in a sample space but do not share common outcomes 
D) Do not have to contain all outcomes in a sample space and may share common outcomes 
A) Contain all outcomes in a sample space and may share common outcomes 
B) Contain all outcomes in a sample space and do not share common outcomes 
C) Do not have to contain all outcomes in a sample space but do not share common outcomes 
D) Do not have to contain all outcomes in a sample space and may share common outcomes B

Question 3

Exhibit 4-5.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.   Refer to Exhibit 4-5.Determine whether selecting an under 35 individual is independent of selecting an individual who prefers swimming.

Accepted Answer

Selecting a 35 or older individual is not independent of selecting an individual preferring swimming.

Question 4

Mutually exclusive events may share common outcomes of a sample space.

Accepted Answer

A) True 
 B)False

Question 5

Exhibit 4-3.The 150 residents of the town of Wonderland were asked their age and whether they preferred vanilla,chocolate,or swirled frozen yogurt.The results are displayed next.   Refer to Exhibit 4-3.What is the probability a randomly selected customer prefers chocolate swirled yogurt or is at least 25 years old?

Accepted Answer

A) 0.10 
B) 0.20 
C) 0.77 
D) 0.90 
A) 0.10 
B) 0.20 
C) 0.77 
D) 0.90

Question 6

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 7

In an experiment in which a coin is tossed twice,which of the following represents mutually exclusive and collectively exhaustive events?

Accepted Answer

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

Question 8

Let   ,and   .Compute   .

Accepted Answer

A) 0.20 
B) 0.35 
C) 0.57 
D) 0.80 
A) 0.20 
B) 0.35 
C) 0.57 
D) 0.80

Question 9

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 is at least 30 years old is 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

Exams are approaching and Helen is allocating time to studying for exams.She feels that with the appropriate amount of studying,she has an 80% chance of getting an A in Marketing.She also feels that she has a 60% chance of getting an A in Spanish with the appropriate amount of studying.Given the demands on her time,she feels that she has only a 45% chance getting an A in both classes.What is the probability that Helen gets an A in at least one of the two classes?

Accepted Answer

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

Question 11

As part of pharmaceutical testing for drowsiness as a side effect of a drug,200 patients are randomly assigned to one of two groups of 100 each.One group is given the actual drug and the other a placebo.The number of people who felt drowsy in the next hour is recorded as:   a.What is the probability that a randomly picked patient in the study feels drowsy in the next hour?
B)What is the probability that a randomly picked patient in the study takes the placebo or feels drowsy in the next hour?
C)Given that the patient was given the drug,what is the probability that he/she feels drowsy in the next hour?
D)Is whether a patient feels drowsy independent of taking the drug? Explain using probabilities.

Accepted Answer

0.30;0.70;

Question 12

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.The probability that a respondent to the survey is male is closest to ____.

Accepted Answer

A) 0.19 
B) 0.38 
C) 0.49 
D) 0.64 
A) 0.19 
B) 0.38 
C) 0.49 
D) 0.64

Question 13

Exhibit 4-5.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.   Refer to Exhibit 4-5.Find the probability that an individual prefers running or biking.

Accepted Answer

The answer of Exhibit 4-5.The following contingency table provides frequencies...

Question 14

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.The probability that a respondent is male and feels that the idea of killing his own food is appealing is closest to _____.

Accepted Answer

A) 0.19 
B) 0.38 
C) 0.41 
D) 0.59 
A) 0.19 
B) 0.38 
C) 0.41 
D) 0.59

Question 15

A recent survey shows that the probability of a college student drinking alcohol is 0.6.Further,given that the student is over 21 years old,the probability of drinking alcohol is 0.8.It is also known that 30% of the college students are over 21 years old.The probability of drinking or being over 21 years old is __________.

Accepted Answer

A) 0.24 
B) 0.42 
C) 0.66 
D) 0.90 
A) 0.24 
B) 0.42 
C) 0.66 
D) 0.90

Question 16

Romi,a production manager,is trying to improve the efficiency of his assembly line.He knows that the machine is set up correctly only 60% of the time.He also knows that if the machine is set up correctly,it will produce good parts 80% of the time,but if set up incorrectly,it will produce good parts only 20% of the time.Romi starts the machine and produces one part before he begins the production run.He finds the first part to be good.What is the revised probability that the machine was set up correctly?

Accepted Answer

A) 48% 
B) 56% 
C) 86% 
D) 96% 
A) 48% 
B) 56% 
C) 86% 
D) 96%

Question 17

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

Accepted Answer

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

Question 18

The intersection of events A and B,denoted by   ,___________.

Accepted Answer

A) Contains outcomes that are either in A or B 
B) Contains outcomes that are both in A and B 
C) Does not contain outcomes that are either in A or B 
D) Does not contain outcomes that are both in A and B 
A) Contains outcomes that are either in A or B 
B) Contains outcomes that are both in A and B 
C) Does not contain outcomes that are either in A or B 
D) Does not contain outcomes that are both in A and B

Question 19

Assume the sample space S = {win,loss}.Select the choice that fulfills the requirements of the definition of probability.

Accepted Answer

A) P({win})= 0.7,P({loss})= 0.2 
B) P({win})= 0.7,P({loss})= 0.3 
C) P({win})= 1.0,P({loss})= 0.1 
D) P({win})= 0.5,P({loss})= -0.5 
A) P({win})= 0.7,P({loss})= 0.2 
B) P({win})= 0.7,P({loss})= 0.3 
C) P({win})= 1.0,P({loss})= 0.1 
D) P({win})= 0.5,P({loss})= -0.5

Question 20

The union of events A and B,denoted by   ,____________.

Accepted Answer

A) Contains all outcomes that are in A or B 
B) Contains all outcomes of an experiment 
C) Contains no outcomes that are in A and B 
D) Consists only of outcomes that are in A and B 
A) Contains all outcomes that are in A or B 
B) Contains all outcomes of an experiment 
C) Contains no outcomes that are in A and B 
D) Consists only of outcomes that are in A and B

Permutations are used when the order in which different objects are arranged matters.

Mutually exclusive and collectively exhaustive events ______________.

Mutually exclusive events may share common outcomes of a sample space.

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?

In an experiment in which a coin is tossed twice,which of the following represents mutually exclusive and collectively exhaustive events?

Let ,and .Compute .

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 is at least 30 years old is closest to ______.

Exhibit 4-5.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. Refer to Exhibit 4-5.Find the probability that an individual prefers running or biking.

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

The intersection of events A and B,denoted by ,___________.

Assume the sample space S = {win,loss}.Select the choice that fulfills the requirements of the definition of probability.

The union of events A and B,denoted by ,____________.

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

Permutations are used when the order in which different objects are arranged matters.

Mutually exclusive and collectively exhaustive events ______________.

Mutually exclusive events may share common outcomes of a sample space.

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?

In an experiment in which a coin is tossed twice,which of the following represents mutually exclusive and collectively exhaustive events?

Let ,and .Compute .

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 is at least 30 years old is closest to ______.

Exhibit 4-5.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. Refer to Exhibit 4-5.Find the probability that an individual prefers running or biking.

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

The intersection of events A and B,denoted by ,___________.

Assume the sample space S = {win,loss}.Select the choice that fulfills the requirements of the definition of probability.

The union of events A and B,denoted by ,____________.

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