Question 1

Bayes' Law involves three different types of probabilities: 1)____________________ probabilities; 2)likelihood probabilities; and 3)posterior probabilities.

Accepted Answer

The answer of Bayes' Law involves three different types of...

Question 2

Two events A and B are said to be independent if P(A)= P(A|B).

Accepted Answer

A) True 
 B)False

Question 3

Suppose P(A)= 0.60,P(B)= 0.85,and A and B are independent.The probability of the complement of the event (A and B)is:

Accepted Answer

A) .4 × .15 = .060 
B) 0.40 + .15 = .55 
C) 1 − (.40 + .15)= .45 
D) 1 − (.6 × .85)= .490 
A) .4 × .15 = .060 
B) 0.40 + .15 = .55 
C) 1 − (.40 + .15)= .45 
D) 1 − (.6 × .85)= .490

Question 4

If A and B are mutually exclusive events with P(A)= 0.75,then P(B):

Accepted Answer

A) can be any value between 0 and 1. 
B) can be any value between 0 and 0.75. 
C) cannot be larger than 0.25. 
D) equals 0.25. 
A) can be any value between 0 and 1. 
B) can be any value between 0 and 0.75. 
C) cannot be larger than 0.25. 
D) equals 0.25.

Question 5

If the events A and B are independent with P(A)= 0.35 and P(B)= 0.45,then the probability that both events will occur simultaneously is:

Accepted Answer

A) 0 
B) 0.16 
C) 0.80 
D) Not enough information to tell. 
A) 0 
B) 0.16 
C) 0.80 
D) Not enough information to tell.

Question 6

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 P(A and B).

Accepted Answer

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

Question 7

Bayes' Law is used to compute:

Accepted Answer

A) prior probabilities. 
B) joint probabilities. 
C) union probabilities. 
D) posterior probabilities. 
A) prior probabilities. 
B) joint probabilities. 
C) union probabilities. 
D) posterior probabilities.

Question 8

If either event A or event B must occur,they are called mutually exclusive.

Accepted Answer

A) True 
 B)False

Question 9

A(n)____________________ of a random experiment is a list of all possible outcomes of the experiment.

Accepted Answer

The answer of A(n)____________________ of a random experiment is a...

Question 10

If two events are mutually exclusive,what is the probability that both occur at the same time?

Accepted Answer

A) 0.00 
B) 0.50 
C) 1.00 
D) Cannot be determined from the information given. 
A) 0.00 
B) 0.50 
C) 1.00 
D) Cannot be determined from the information given.

Question 11

The probability of an intersection of two events is called a(n)____________________ probability.

Accepted Answer

The answer of The probability of an intersection of two...

Question 12

Construction Bids ​ 
A construction company has submitted bids on two separate state contracts,A and B.The company feels that it has a 60% chance of winning contract A,and a 50% chance of winning contract B.Furthermore,the company believes that it has an 80% chance of winning contract A if it wins contract B. ​ ​
-{Construction Bids Narrative} What is the probability that the company will win at most one of the two contracts?

Accepted Answer

1 − P(A an

Question 13

Marital Status
An insurance company has collected the following data on the gender and marital status of 570 customers.
 
suppose that a customer is selected at random.
-{Marital Status Narrative} Find the probability that the customer selected is female or divorced.

Accepted Answer

The answer of Marital Status
An insurance company has collected the...

Question 14

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

Accepted Answer

A) 1.20 
B) 0.60 
C) 0.36 
D) cannot be determined with the information given 
A) 1.20 
B) 0.60 
C) 0.36 
D) cannot be determined with the information given

Question 15

If the event of interest is A,the probability that A will not occur is the complement of A.

Accepted Answer

A) True 
 B)False

Question 16

Suppose P(A)= 0.30,P(B)= 0.50,and P(B|A)= 0.60.
a.Find P(A and B).
b.Find P(A or B).
c.Find P(A|B).

Accepted Answer

a. 0.18 
b

Question 17

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 passed the test?

Accepted Answer

(.5)(.7)+

Question 18

College Professorship ​ 
A Ph.D.graduate has applied for a job with two colleges: A and B.The graduate feels that she has a 60% chance of receiving an offer from college A and a 50% chance of receiving an offer from college B.If she receives an offer from college B,she believes that she has an 80% chance of receiving an offer from college A.Let A = receiving an offer from college A,and let B = receiving an offer from college B. ​ ​
-{College Professorship Narrative} What is the probability that both colleges will make her an offer?

Accepted Answer

The answer of College Professorship ​ 
A Ph.D.graduate has applied...

Question 19

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} Given alcohol was involved,what proportion of accidents involved a single vehicle?

Accepted Answer

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

Question 20

If P(A)= 0.4 and P(B)= 0.6,then A and B must be collectively exhaustive.

Accepted Answer

A) True 
 B)False

Bayes' Law involves three different types of probabilities: 1)____________________ probabilities; 2)likelihood probabilities; and 3)posterior probabilities.

Two events A and B are said to be independent if P(A)= P(A|B).

Suppose P(A)= 0.60,P(B)= 0.85,and A and B are independent.The probability of the complement of the event (A and B)is:

If A and B are mutually exclusive events with P(A)= 0.75,then P(B):

If the events A and B are independent with P(A)= 0.35 and P(B)= 0.45,then the probability that both events will occur simultaneously is:

Bayes' Law is used to compute:

If either event A or event B must occur,they are called mutually exclusive.

A(n)____________________ of a random experiment is a list of all possible outcomes of the experiment.

If two events are mutually exclusive,what is the probability that both occur at the same time?

The probability of an intersection of two events is called a(n)____________________ probability.

Marital Status An insurance company has collected the following data on the gender and marital status of 570 customers. suppose that a customer is selected at random. -{Marital Status Narrative} Find the probability that the customer selected is female or divorced.

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

If the event of interest is A,the probability that A will not occur is the complement of A.

Suppose P(A)= 0.30,P(B)= 0.50,and P(B|A)= 0.60. a.Find P(A and B). b.Find P(A or B). c.Find P(A|B).

If P(A)= 0.4 and P(B)= 0.6,then A and B must be collectively exhaustive.

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

Bayes' Law involves three different types of probabilities: 1)____________________ probabilities; 2)likelihood probabilities; and 3)posterior probabilities.

Two events A and B are said to be independent if P(A)= P(A|B).

Suppose P(A)= 0.60,P(B)= 0.85,and A and B are independent.The probability of the complement of the event (A and B)is:

If A and B are mutually exclusive events with P(A)= 0.75,then P(B):

If the events A and B are independent with P(A)= 0.35 and P(B)= 0.45,then the probability that both events will occur simultaneously is:

Bayes' Law is used to compute:

If either event A or event B must occur,they are called mutually exclusive.

A(n)____________________ of a random experiment is a list of all possible outcomes of the experiment.

If two events are mutually exclusive,what is the probability that both occur at the same time?

The probability of an intersection of two events is called a(n)____________________ probability.

Marital Status An insurance company has collected the following data on the gender and marital status of 570 customers. suppose that a customer is selected at random. -{Marital Status Narrative} Find the probability that the customer selected is female or divorced.

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

If the event of interest is A,the probability that A will not occur is the complement of A.

Suppose P(A)= 0.30,P(B)= 0.50,and P(B|A)= 0.60. a.Find P(A and B). b.Find P(A or B). c.Find P(A|B).

If P(A)= 0.4 and P(B)= 0.6,then A and B must be collectively exhaustive.

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