Question 1

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

Accepted Answer

sample space

Question 2

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 at least one college will make her an offer?

Accepted Answer

.6 + .5 -.4 = 0.7

Question 3

If A and B are mutually exclusive events with P(A)= 0.30 and P(B)= 0.40,then P(A or B)is:

Accepted Answer

A)  0.10 
B)  0.12 
C)  0.70 
D)  None of these choices 
A)  0.10 
B)  0.12 
C)  0.70 
D)  None of these choices C

Question 4

P(A)+ P(B)= 1 for any events A and B that are mutually exclusive.

Accepted Answer

A) True 
 B)False

Question 5

If P(A)= 0.35,P(B)= 0.45,and P(A and B)= 0.25,then P(A|B)is:

Accepted Answer

A)  1.4 
B)  1.8 
C)  0.714 
D)  0.556 
A)  1.4 
B)  1.8 
C)  0.714 
D)  0.556

Question 6

If two events are collectively exhaustive,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 7

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

Accepted Answer

A) True 
 B)False

Question 8

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 both contracts?

Accepted Answer

P(B and A)

Question 9

A(n)____________________ is a collection or set of one or more simple events in a sample space.

Accepted Answer

The answer of A(n)____________________ is a collection or set of...

Question 10

Thomas ____________________ first employed the calculation of conditional probability.

Accepted Answer

The answer of Thomas ____________________ first employed the calculation of...

Question 11

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

Accepted Answer

A) True 
 B)False

Question 12

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 13

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} In the absence of any test,what is the probability that the cyst is malignant?

Accepted Answer

M = Malign

Question 14

The probability of the union of two mutually exclusive events A and B is 0.

Accepted Answer

A) True 
 B)False

Question 15

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 was given...

Question 16

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.
 $$\begin{array} { | l | c c c c c | } 
\hline \text { Interest Rate } & 0.0 \% & 6.5 \% & 7.0 \% & 7.5 \% & > 7.5 \% \
\hline \text { Probability } & 0.20 & 0.23 & 0.25 & 0.28 & .04 \
\hline
\end{array}$$
-Two events A and B are independent if P(A and B)= 0.

Accepted Answer

A) True 
 B)False

Question 17

If A and B are disjoint events with P(A)= 0.70,then P(B):

Accepted Answer

A)  can be any value between 0 and 1 
B)  can be any value between 0 and 0.70 
C)  cannot be larger than 0.30 
D)  cannot be determined with the information given 
A)  can be any value between 0 and 1 
B)  can be any value between 0 and 0.70 
C)  cannot be larger than 0.30 
D)  cannot be determined with the information given

Question 18

A posterior probability value is a prior probability value that has been:

Accepted Answer

A)  modified on the basis of new information. 
B)  multiplied by a conditional probability value. 
C)  divided by a conditional probability value. 
D)  added to a conditional probability value. 
A)  modified on the basis of new information. 
B)  multiplied by a conditional probability value. 
C)  divided by a conditional probability value. 
D)  added to a conditional probability value.

Question 19

Condo Sales and Interest Rates
The probability that condo sales will increase in the next 6 months is estimated to be 0.30.The probability that the interest rates on condo loans will go up in the same period is estimated to be 0.75.The probability that condo sales or interest rates will go up during the next 6 months is estimated to be 0.90.
-Bayes' Law can be used to calculate posterior probabilities,prior probabilities,as well as new conditional probabilities.

Accepted Answer

A) True 
 B)False

Question 20

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.
 $$\begin{array} { | l | c c c c c | } 
\hline \text { Interest Rate } & 0.0 \% & 6.5 \% & 7.0 \% & 7.5 \% & > 7.5 \% \
\hline \text { Probability } & 0.20 & 0.23 & 0.25 & 0.28 & .04 \
\hline
\end{array}$$
-The probability of the intersection is called a joint probability.

Accepted Answer

A) True 
 B)False

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

If A and B are mutually exclusive events with P(A)= 0.30 and P(B)= 0.40,then P(A or B)is:

P(A)+ P(B)= 1 for any events A and B that are mutually exclusive.

If P(A)= 0.35,P(B)= 0.45,and P(A and B)= 0.25,then P(A|B)is:

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

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

A(n)____________________ is a collection or set of one or more simple events in a sample space.

Thomas ____________________ first employed the calculation of conditional probability.

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

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

The probability of the union of two mutually exclusive events A and B is 0.

If A and B are disjoint events with P(A)= 0.70,then P(B):

A posterior probability value is a prior probability value that has been:

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

A: Numerical Descriptive Techniques

B: Numerical Descriptive Techniques

C: Numerical Descriptive Techniques

Data Collection and Sampling

A: Random Variables and Discrete Probability Distributions

B: 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

A: Simple Linear Regression and Correlation

B: Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Statistics

Time-Series Analysis and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters

Exam 6: Probability

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

If A and B are mutually exclusive events with P(A)= 0.30 and P(B)= 0.40,then P(A or B)is:

P(A)+ P(B)= 1 for any events A and B that are mutually exclusive.

If P(A)= 0.35,P(B)= 0.45,and P(A and B)= 0.25,then P(A|B)is:

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

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

A(n)____________________ is a collection or set of one or more simple events in a sample space.

Thomas ____________________ first employed the calculation of conditional probability.

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

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

The probability of the union of two mutually exclusive events A and B is 0.

If A and B are disjoint events with P(A)= 0.70,then P(B):

A posterior probability value is a prior probability value that has been:

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

A: Numerical Descriptive Techniques

B: Numerical Descriptive Techniques

C: Numerical Descriptive Techniques

Data Collection and Sampling

A: Random Variables and Discrete Probability Distributions

B: 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

A: Simple Linear Regression and Correlation

B: Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Statistics

Time-Series Analysis and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters