Question 1

If P(A) = 0.84, P(B) = 0.76, and P(A or B) = 0.90, then P(A and B) is:

Accepted Answer

A)  0.06 
B)  0.14 
C)  0.70 
D)  0.83 
A)  0.06 
B)  0.14 
C)  0.70 
D)  0.83

Question 2

The first set of branches of a probability tree represent ____________________ probabilities.

Accepted Answer

The answer of The first set of branches of a...

Question 3

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 4

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} Calculate P(B and O).

Accepted Answer

P(B and O)

Question 5

Business Majors
Suppose 30% of business majors major in accounting.You take a random sample of 3 business majors.
-{Business Majors Narrative} What is the chance that exactly one majors in accounting?

Accepted Answer

The answer of Business Majors
Suppose 30% of business majors major...

Question 6

If A and B are any two events with P(A) = .8 and P(B|A) = .4, then P(A and B) is:

Accepted Answer

A)  .40 
B)  .32 
C)  1.20 
D)  None of these choices. 
A)  .40 
B)  .32 
C)  1.20 
D)  None of these choices.

Question 7

If events A and B cannot occur at the same time, they are called mutually exclusive.

Accepted Answer

A) True 
 B)False

Question 8

Cysts
After researching cysts of a particular type, a doctor learns that out of 10,000 such cysts examined, 1,500 are malignant and 8,500 are benign.A diagnostic test is available which is accurate 80% of the time (whether the cyst is malignant or not).The doctor has discovered the same type of cyst in a patient.
-{Cysts Narrative} What is the probability that the patient has a benign tumor if he or she tests positive?

Accepted Answer

P(B/+) = P(+ and B)

Question 9

The ____________________ of events A and B is the event that occurs when both A and B occur.

Accepted Answer

The answer of The ____________________ of events A and B...

Question 10

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

Accepted Answer

A) True 
 B)False

Question 11

If events A and B have nonzero probabilities, then they can be both independent and mutually exclusive.

Accepted Answer

A) True 
 B)False

Question 12

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 13

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

Accepted Answer

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

Question 14

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 15

The probability of event A given event B is denoted by

Accepted Answer

A)  P(A and 
B)  
B)  P(A or 
B)  
C)  P(A|
B)  
D)  P(B|
A)  
A)  P(A and 
B)  
B)  P(A or 
B)  
C)  P(A|
B)  
D)  P(B|
A)

Question 16

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 alcohol and single vehicle?

Accepted Answer

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

Question 17

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 18

If P(B) = .7 and P(B|A) = .4, then P(A and B) must be .28.

Accepted Answer

A) True 
 B)False

Question 19

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} What approach was used in estimating the probabilities for the interest rates?

Accepted Answer

relative f

Question 20

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

If P(A) = 0.84, P(B) = 0.76, and P(A or B) = 0.90, then P(A and B) is:

The first set of branches of a probability tree represent ____________________ probabilities.

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'.

Business Majors Suppose 30% of business majors major in accounting.You take a random sample of 3 business majors. -{Business Majors Narrative} What is the chance that exactly one majors in accounting?

If A and B are any two events with P(A) = .8 and P(B|A) = .4, then P(A and B) is:

If events A and B cannot occur at the same time, they are called mutually exclusive.

The ____________________ of events A and B is the event that occurs when both A and B occur.

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

If events A and B have nonzero probabilities, then they can be both independent and mutually exclusive.

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

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

The probability of event A given event B is denoted by

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

If P(B) = .7 and P(B|A) = .4, then P(A and B) must be .28.

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} What approach was used in estimating the probabilities for the interest rates?

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.

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

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

Filters

Exam 6: Probability

If P(A) = 0.84, P(B) = 0.76, and P(A or B) = 0.90, then P(A and B) is:

The first set of branches of a probability tree represent ____________________ probabilities.

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'.

Business Majors Suppose 30% of business majors major in accounting.You take a random sample of 3 business majors. -{Business Majors Narrative} What is the chance that exactly one majors in accounting?

If A and B are any two events with P(A) = .8 and P(B|A) = .4, then P(A and B) is:

If events A and B cannot occur at the same time, they are called mutually exclusive.

The ____________________ of events A and B is the event that occurs when both A and B occur.

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

If events A and B have nonzero probabilities, then they can be both independent and mutually exclusive.

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

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

The probability of event A given event B is denoted by

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

If P(B) = .7 and P(B|A) = .4, then P(A and B) must be .28.

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} What approach was used in estimating the probabilities for the interest rates?

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.

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

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

Filters