Question 1

If P(A)= .30,P(B)= .60,and P(A and B)= .20,then P(A|B)= .40.

Accepted Answer

A) True 
 B)False

Question 2

Suppose A and B are two independent events for which P(A)= 0.20 and P(B)= 0.60.
a.Find P(A and B).
b.Find P(A or B).

Accepted Answer

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

Question 3

Two events A and B are said to be mutually exclusive if:

Accepted Answer

A) P(A|
B) = 1 
B) P(A|
B) = P(
A)  
C) P(A and 
B) =1 
D) P(A and 
B) = 0 
A) P(A|
B) = 1 
B) P(A|
B) = P(
A)  
C) P(A and 
B) =1 
D) P(A and 
B) = 0

Question 4

We can apply the multiplication rule to compute the probability that two events occur at the same time.

Accepted Answer

A) True 
 B)False

Question 5

____________________ can find the probability that someone with a disease tests positive by using (among other things)the probability that someone who actually has the disease tests positive for it.

Accepted Answer

Bayes' Law

Question 6

In the scenario of Bayes' Law,P(A|B)is a posterior probability,while P(B|A)is a(n)____________________ probability.

Accepted Answer

The answer of In the scenario of Bayes' Law,P(A|B)is a...

Question 7

When A and B are mutually exclusive,P(A or B)can be found by adding P(A)and P(B).

Accepted Answer

A) True 
 B)False

Question 8

If the two events are mutually exclusive and collectively exhaustive,what is the probability that one or the other occurs?

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 9

The probability of the intersection is called a joint probability.

Accepted Answer

A) True 
 B)False

Question 10

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} Are being in the upper class and having a GPA over 3.0 related? Explain.

Accepted Answer

Yes,since the product of the p

Question 11

Hobby Shop Sales Sales records of a hobby shop showed the following number of radio controlled trucks sold weekly for each of the last 50 weeks.   ​ ​
-{Hobby Shop Sales Narrative} What is the probability of selling at least two trucks in any given week?

Accepted Answer

The answer of  Hobby Shop Sales Sales records of...

Question 12

Is it possible to have two events for which P(A)= 0.40,P(B)= 0.50,and P(A or B)= 0.30? Explain.

Accepted Answer

Yes.In this situatio

Question 13

We can use the joint and marginal probabilities to compute conditional probabilities,for which a formula is available.

Accepted Answer

A) True 
 B)False

Question 14

The ____________________ rule says that P(Ac)= 1 − P(A).

Accepted Answer

Question 15

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} Are gender and marital status mutually exclusive? Explain using probabilities.

Accepted Answer

No,since P(female an

Question 16

In general,a posterior probability is calculated by adding the prior and likelihood probabilities.

Accepted Answer

A) True 
 B)False

Question 17

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} What proportion of accidents involved more than one vehicle?

Accepted Answer

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

Question 18

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 A?

Accepted Answer

P(A|O)= P(

Question 19

Two events A and B are said to be mutually exclusive if P(A and B)= 1.0.

Accepted Answer

A) True 
 B)False

Question 20

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

Accepted Answer

A) True 
 B)False

If P(A)= .30,P(B)= .60,and P(A and B)= .20,then P(A|B)= .40.

Suppose A and B are two independent events for which P(A)= 0.20 and P(B)= 0.60. a.Find P(A and B). b.Find P(A or B).

Two events A and B are said to be mutually exclusive if:

We can apply the multiplication rule to compute the probability that two events occur at the same time.

____________________ can find the probability that someone with a disease tests positive by using (among other things)the probability that someone who actually has the disease tests positive for it.

In the scenario of Bayes' Law,P(A|B)is a posterior probability,while P(B|A)is a(n)____________________ probability.

When A and B are mutually exclusive,P(A or B)can be found by adding P(A)and P(B).

If the two events are mutually exclusive and collectively exhaustive,what is the probability that one or the other occurs?

The probability of the intersection is called a joint probability.

Hobby Shop Sales Sales records of a hobby shop showed the following number of radio controlled trucks sold weekly for each of the last 50 weeks. -{Hobby Shop Sales Narrative} What is the probability of selling at least two trucks in any given week?

Is it possible to have two events for which P(A)= 0.40,P(B)= 0.50,and P(A or B)= 0.30? Explain.

We can use the joint and marginal probabilities to compute conditional probabilities,for which a formula is available.

The ____________________ rule says that P(A^c)= 1 − P(A).

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} Are gender and marital status mutually exclusive? Explain using probabilities.

In general,a posterior probability is calculated by adding the prior and likelihood probabilities.

Two events A and B are said to be mutually exclusive if P(A and B)= 1.0.

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

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

If P(A)= .30,P(B)= .60,and P(A and B)= .20,then P(A|B)= .40.

Suppose A and B are two independent events for which P(A)= 0.20 and P(B)= 0.60. a.Find P(A and B). b.Find P(A or B).

Two events A and B are said to be mutually exclusive if:

We can apply the multiplication rule to compute the probability that two events occur at the same time.

____________________ can find the probability that someone with a disease tests positive by using (among other things)the probability that someone who actually has the disease tests positive for it.

In the scenario of Bayes' Law,P(A|B)is a posterior probability,while P(B|A)is a(n)____________________ probability.

When A and B are mutually exclusive,P(A or B)can be found by adding P(A)and P(B).

If the two events are mutually exclusive and collectively exhaustive,what is the probability that one or the other occurs?

The probability of the intersection is called a joint probability.

Hobby Shop Sales Sales records of a hobby shop showed the following number of radio controlled trucks sold weekly for each of the last 50 weeks. ​ ​ -{Hobby Shop Sales Narrative} What is the probability of selling at least two trucks in any given week?

Is it possible to have two events for which P(A)= 0.40,P(B)= 0.50,and P(A or B)= 0.30? Explain.

We can use the joint and marginal probabilities to compute conditional probabilities,for which a formula is available.

The ____________________ rule says that P(Ac)= 1 − P(A).

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} Are gender and marital status mutually exclusive? Explain using probabilities.

In general,a posterior probability is calculated by adding the prior and likelihood probabilities.

Two events A and B are said to be mutually exclusive if P(A and B)= 1.0.

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

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

Hobby Shop Sales Sales records of a hobby shop showed the following number of radio controlled trucks sold weekly for each of the last 50 weeks. -{Hobby Shop Sales Narrative} What is the probability of selling at least two trucks in any given week?

The ____________________ rule says that P(A^c)= 1 − P(A).