Question 1

The intersection of events A and B is the event that occurs when:

Accepted Answer

A) either A or B occurs but not both 
B) neither A nor B occur 
C) both A and B occur 
D) All of these choices are true. 
A) either A or B occurs but not both 
B) neither A nor B occur 
C) both A and B occur 
D) All of these choices are true.

Question 2

A and B are disjoint events,with P(A)= 0.20 and P(B)= 0.30.Then P(A and B)is:

Accepted Answer

A) 0.50 
B) 0.10 
C) 0.00 
D) 0.06 
A) 0.50 
B) 0.10 
C) 0.00 
D) 0.06

Question 3

Although there is a formula defining Bayes' law,you can also use a probability tree to conduct calculations.

Accepted Answer

A) True 
 B)False

Question 4

Suppose the probability that a person owns both a cat and a dog is 0.10.Also suppose the probability that a person owns a cat but not a dog is 0.20.The marginal probability that someone owns a cat is 0.30.

Accepted Answer

A) True 
 B)False

Question 5

Financial Consultants A Financial Consultant has classified his clients according to their gender and the composition of their investment portfolio (primarily bonds,primarily stocks,or a balanced mix of bonds and stocks).The proportions of clients falling into the various categories are shown in the following table:   One client is selected at random,and two events A and B are defined as follows: A: The client selected is male. B: The client selected has a balanced portfolio. ​ ​
-{Financial Consultants Narrative} Express each of the following probabilities in words:
a.P(A|B)
b.P(B|A)

Accepted Answer

a. The probability that the cl

Question 6

Equity Loan Rates A survey of banks estimated the following probabilities for the interest rate being charged on a equity loan based on a 30-year loan,based on past records.   ​ ​
-{Equity Loan Rates Narrative} If a bank is selected at random from this distribution,what is the probability that the interest rate charged on a home loan exceeds 7.0%?

Accepted Answer

The answer of  Equity Loan Rates A survey of...

Question 7

Suppose two events A and B are related.The ____________________ probability of A is the probability that A occurs,regardless of whether event B occurred or not.

Accepted Answer

The answer of Suppose two events A and B are...

Question 8

Club Members A survey of a club's members indicates that 50% own a home,80% own a car,and 90% of the homeowners who subscribe also own a car. ​ ​
-{Club Members Narrative} What is the probability that a club member owns neither a car nor a house?

Accepted Answer

The answer of Club Members A survey of a club's...

Question 9

A conditional probability of A given B is written in probability notation as ____________________.

Accepted Answer

The answer of A conditional probability of A given B...

Question 10

Drunk Drivers 
Six hundred accidents that occurred on a Saturday night were analyzed.Two items noted were the number of vehicles involved and whether alcohol played a role in the accident.The numbers are shown below:   ​ ​
-{Drunk Drivers Narrative} If alcohol was not involved,what proportion of the accidents were multiple vehicle?

Accepted Answer

The answer of Drunk Drivers 
Six hundred accidents that occurred...

Question 11

Certification Test ​
 A standard certification test was given at three locations.1,000 candidates took the test at location A,600 candidates at location B,and 400 candidates at location C.The percentages of candidates from locations A,B,and C who passed the test were 70%,68%,and 77%,respectively.One candidate is selected at random from among those who took the test. ​ ​
-{Certification Test Narrative} What is the probability that the selected candidate took the test at location C and failed?

Accepted Answer

The answer of Certification Test ​
 A standard certification test...

Question 12

Cars
 Suppose X = the number of cars owned by a family in the U.S.The probability distribution of X is shown in the table below.   ​ ​
-{Cars Narrative} Suppose you choose two families at random.What is the chance that they each own one car? (That means family A owns a car and family B owns a car.)

Accepted Answer

A) 0.23 
B) 0.23 + 0.23 = 0.46 
C) 0.23 + 0.23 − (0.23)*(0.23)= .4071 
D) (0.23)*(0.23)= 0.0529 
A) 0.23 
B) 0.23 + 0.23 = 0.46 
C) 0.23 + 0.23 − (0.23)*(0.23)= .4071 
D) (0.23)*(0.23)= 0.0529

Question 13

If A and B are independent,then P(A|B)= ____________________.

Accepted Answer

The answer of If A and B are independent,then P(A|B)=...

Question 14

Which of the following best describes the concept of marginal probability?

Accepted Answer

A) It is a measure of the likelihood that a particular event will occur,regardless of whether another event occurs. 
B) It is a measure of the likelihood that a particular event will occur,if another event has already occurred. 
C) It is a measure of the likelihood of the simultaneous occurrence of two or more events. 
D) None of these choices. 
A) It is a measure of the likelihood that a particular event will occur,regardless of whether another event occurs. 
B) It is a measure of the likelihood that a particular event will occur,if another event has already occurred. 
C) It is a measure of the likelihood of the simultaneous occurrence of two or more events. 
D) None of these choices.

Question 15

A random experiment is an action or process that leads to one of several possible ____________________.

Accepted Answer

The answer of A random experiment is an action or...

Question 16

If A and B are independent events with P(A)= 0.20 and P(B)= 0.60,then P(A|B)is:

Accepted Answer

A) 0.20 
B) 0.60 
C) 0.40 
D) 0.80 
A) 0.20 
B) 0.60 
C) 0.40 
D) 0.80

Question 17

Financial Consultants A Financial Consultant has classified his clients according to their gender and the composition of their investment portfolio (primarily bonds,primarily stocks,or a balanced mix of bonds and stocks).The proportions of clients falling into the various categories are shown in the following table:   One client is selected at random,and two events A and B are defined as follows: A: The client selected is male. B: The client selected has a balanced portfolio. ​ ​
-{Financial Consultants Narrative} Find the following probabilities:
a.P(A|B)
b.P(B|A)

Accepted Answer

The answer of  Financial Consultants A Financial Consultant has...

Question 18

Which of the following statements is false?

Accepted Answer

A) Thomas Bayes first employed the calculation of conditional probability in the eighteenth century. 
B) There is no formula defining Bayes' Law. 
C) We use a probability tree to conduct all necessary calculations for Bayes' Law. 
D) None of these choices. 
A) Thomas Bayes first employed the calculation of conditional probability in the eighteenth century. 
B) There is no formula defining Bayes' Law. 
C) We use a probability tree to conduct all necessary calculations for Bayes' Law. 
D) None of these choices.

Question 19

Messenger Service ​
 Three messenger services deliver to a small town in Oregon.Service A has 60% of all the scheduled deliveries,service B has 30%,and service C has the remaining 10%.Their on-time rates are 80%,60%,and 40% respectively.Define event O as a service delivers a package on time. ​ ​
-{Messenger Service Narrative} If a package was delivered on time,what is the probability that it was service C?

Accepted Answer

P(C|O)= P(

Question 20

Assume that A and B are independent events with P(A)= 0.30 and P(B)= 0.50.The probability that both events will occur simultaneously is 0.80.

Accepted Answer

A) True 
 B)False

The intersection of events A and B is the event that occurs when:

A and B are disjoint events,with P(A)= 0.20 and P(B)= 0.30.Then P(A and B)is:

Although there is a formula defining Bayes' law,you can also use a probability tree to conduct calculations.

Suppose the probability that a person owns both a cat and a dog is 0.10.Also suppose the probability that a person owns a cat but not a dog is 0.20.The marginal probability that someone owns a cat is 0.30.

Suppose two events A and B are related.The ____________________ probability of A is the probability that A occurs,regardless of whether event B occurred or not.

Club Members A survey of a club's members indicates that 50% own a home,80% own a car,and 90% of the homeowners who subscribe also own a car. -{Club Members Narrative} What is the probability that a club member owns neither a car nor a house?

A conditional probability of A given B is written in probability notation as ____________________.

Cars Suppose X = the number of cars owned by a family in the U.S.The probability distribution of X is shown in the table below. -{Cars Narrative} Suppose you choose two families at random.What is the chance that they each own one car? (That means family A owns a car and family B owns a car.)

If A and B are independent,then P(A|B)= ____________________.

Which of the following best describes the concept of marginal probability?

A random experiment is an action or process that leads to one of several possible ____________________.

If A and B are independent events with P(A)= 0.20 and P(B)= 0.60,then P(A|B)is:

Which of the following statements is false?

Assume that A and B are independent events with P(A)= 0.30 and P(B)= 0.50.The probability that both events will occur simultaneously is 0.80.

What Is Statistics

Graphical Descriptive Techniques 1

Graphical Descriptive Techniques 2

Numerical Descriptive Techniques

Data Collection and Sampling

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Statistics

Time-Series Analytics and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters

Exam 6: Probability

The intersection of events A and B is the event that occurs when:

A and B are disjoint events,with P(A)= 0.20 and P(B)= 0.30.Then P(A and B)is:

Although there is a formula defining Bayes' law,you can also use a probability tree to conduct calculations.

Suppose the probability that a person owns both a cat and a dog is 0.10.Also suppose the probability that a person owns a cat but not a dog is 0.20.The marginal probability that someone owns a cat is 0.30.

Suppose two events A and B are related.The ____________________ probability of A is the probability that A occurs,regardless of whether event B occurred or not.

Club Members A survey of a club's members indicates that 50% own a home,80% own a car,and 90% of the homeowners who subscribe also own a car. ​ ​ -{Club Members Narrative} What is the probability that a club member owns neither a car nor a house?

A conditional probability of A given B is written in probability notation as ____________________.

If A and B are independent,then P(A|B)= ____________________.

Which of the following best describes the concept of marginal probability?

A random experiment is an action or process that leads to one of several possible ____________________.

If A and B are independent events with P(A)= 0.20 and P(B)= 0.60,then P(A|B)is:

Which of the following statements is false?

Assume that A and B are independent events with P(A)= 0.30 and P(B)= 0.50.The probability that both events will occur simultaneously is 0.80.

What Is Statistics

Graphical Descriptive Techniques 1

Graphical Descriptive Techniques 2

Numerical Descriptive Techniques

Data Collection and Sampling

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Statistics

Time-Series Analytics and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters

Club Members A survey of a club's members indicates that 50% own a home,80% own a car,and 90% of the homeowners who subscribe also own a car. -{Club Members Narrative} What is the probability that a club member owns neither a car nor a house?