Question 1

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

Accepted Answer

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

Question 2

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} If the selected candidate passed the test,what is the probability that the candidate took the test at location B?

Accepted Answer

(.3)(.68)/

Question 3

In applying Bayes' Law,as the prior probabilities increase,the posterior probabilities decrease.

Accepted Answer

A) True 
 B)False

Question 4

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

Accepted Answer

The answer of If P(A|B)= P(A)then events A and B...

Question 5

The collection of all possible events is called

Accepted Answer

A) an outcome 
B) a sample space 
C) an event 
D) None of these choices. 
A) an outcome 
B) a sample space 
C) an event 
D) None of these choices.

Question 6

The outcomes of a sample space must be ____________________,which means that no two outcomes can occur at the same time.

Accepted Answer

The answer of The outcomes of a sample space must...

Question 7

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 40 minutes late,what is the probability that it was service B?

Accepted Answer

P(B|O^c)= P(B and O^c)/

Question 8

If P(A)= 0.65,P(B)= 0.58,and P(A and B)= 0.76,then P(A or B)is:

Accepted Answer

A) 1.23 
B) 0.47 
C) 0.24 
D) None of these choices. 
A) 1.23 
B) 0.47 
C) 0.24 
D) None of these choices.

Question 9

Prior probabilities can be calculated using the multiplication rule for mutually exclusive events.

Accepted Answer

A) True 
 B)False

Question 10

If two events are mutually exclusive their joint probability is ____________________.

Accepted Answer

The answer of If two events are mutually exclusive their...

Question 11

Which of the following statements is always correct?

Accepted Answer

A) P(A and 
B) = P(
A) * P(
B)  
B) P(A or 
B) = P(
A) + P(
B)  
C) P(
A) = 1 − P(Ac) 
D) None of these choices. 
A) P(A and 
B) = P(
A) * P(
B)  
B) P(A or 
B) = P(
A) + P(
B)  
C) P(
A) = 1 − P(Ac) 
D) None of these choices.

Question 12

A pharmaceutical firm has discovered a new diagnostic test for a certain disease that has infected 1% of the population.The firm has announced that 95% of those infected will show a positive test result,while 98% of those not infected will show a negative test result.
a.What proportion of people don't have the disease?
b.What proportion who have the disease test negative?
c.What proportion of those who don't have the disease test positive?
d.What proportion of test results are incorrect?
e.What proportion of test results are correct?

Accepted Answer

a. 0.99 
b

Question 13

If events A and B are independent then:

Accepted Answer

A) P(A and 
B) = P(
A) * P(
B)  
B) P(A and 
B) = P(
A) + P(
B)  
C) P(B|
A) = P(
A)  
D) None of these choices. 
A) P(A and 
B) = P(
A) * P(
B)  
B) P(A and 
B) = P(
A) + P(
B)  
C) P(B|
A) = P(
A)  
D) None of these choices.

Question 14

If A and B are independent events with P(A)= 0.60 and P(B)= 0.70,then P(A or B)equals:

Accepted Answer

A) 1.30 
B) 0.88 
C) 0.42 
D) Cannot tell from the given information. 
A) 1.30 
B) 0.88 
C) 0.42 
D) Cannot tell from the given information.

Question 15

The union of events A and B is the event that occurs when either A or B or both occur.It is denoted as 'A or B'.

Accepted Answer

A) True 
 B)False

Question 16

If two events are complements,their probabilities sum to ____________________.

Accepted Answer

The answer of If two events are complements,their probabilities sum...

Question 17

Which of the following is equivalent to P(A)if A and B are independent?

Accepted Answer

A) P(A and 
B)  
B) P(B|
A)  
C) P(
A) /P(
B)  
D) None of these choices. 
A) P(A and 
B)  
B) P(B|
A)  
C) P(
A) /P(
B)  
D) None of these choices.

Question 18

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 events in words:
a.A or B
b.A and B

Accepted Answer

a. The client selected either

Question 19

GPA and Class
 A college professor classifies his students according to their grade point average (GPA)and their class rank.GPA is on a 0.0-4.0 scale,and class rank is defined as the under class (freshmen and sophomores)and the upper class (juniors and seniors).One student is selected at random.   ​ ​
-{GPA and Class Narrative} What is the probability that the student is in the upper class and has GPA under 2.0?

Accepted Answer

The answer of  GPA and Class
 A college professor...

Question 20

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.P(B)

Accepted Answer

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

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

In applying Bayes' Law,as the prior probabilities increase,the posterior probabilities decrease.

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

The collection of all possible events is called

The outcomes of a sample space must be ____________________,which means that no two outcomes can occur at the same time.

If P(A)= 0.65,P(B)= 0.58,and P(A and B)= 0.76,then P(A or B)is:

Prior probabilities can be calculated using the multiplication rule for mutually exclusive events.

If two events are mutually exclusive their joint probability is ____________________.

Which of the following statements is always correct?

If events A and B are independent then:

If A and B are independent events with P(A)= 0.60 and P(B)= 0.70,then P(A or B)equals:

The union of events A and B is the event that occurs when either A or B or both occur.It is denoted as 'A or B'.

If two events are complements,their probabilities sum to ____________________.

Which of the following is equivalent to P(A)if A and B are independent?

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)prior probabilities; 2)likelihood probabilities; and 3)____________________ probabilities.

In applying Bayes' Law,as the prior probabilities increase,the posterior probabilities decrease.

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

The collection of all possible events is called

The outcomes of a sample space must be ____________________,which means that no two outcomes can occur at the same time.

If P(A)= 0.65,P(B)= 0.58,and P(A and B)= 0.76,then P(A or B)is:

Prior probabilities can be calculated using the multiplication rule for mutually exclusive events.

If two events are mutually exclusive their joint probability is ____________________.

Which of the following statements is always correct?

If events A and B are independent then:

If A and B are independent events with P(A)= 0.60 and P(B)= 0.70,then P(A or B)equals:

The union of events A and B is the event that occurs when either A or B or both occur.It is denoted as 'A or B'.

If two events are complements,their probabilities sum to ____________________.

Which of the following is equivalent to P(A)if A and B are independent?

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