Question 1

If A and B are mutually exclusive events,then P(A | B)= 0.

Accepted Answer

A) True 
 B)False

Question 2

One of the basic requirements of probability is

Accepted Answer

A) for each experimental outcome Ei,we must have P(Ei)≥ 1 
B) P(
A) = P(Ac)− 1 
C) if there are k experimental outcomes,then P(E1)+ P(E2)+ ...+ P(Ek)= 1 
D) both P(
A) = P(Ac)− 1 and if there are k experimental outcomes,then P(E1)+ P(E2)+ ...+ P(Ek)= 1 
A) for each experimental outcome Ei,we must have P(Ei)≥ 1 
B) P(
A) = P(Ac)− 1 
C) if there are k experimental outcomes,then P(E1)+ P(E2)+ ...+ P(Ek)= 1 
D) both P(
A) = P(Ac)− 1 and if there are k experimental outcomes,then P(E1)+ P(E2)+ ...+ P(Ek)= 1

Question 3

P(A|B)= 1 − P(B|A)for all events A and B.

Accepted Answer

A) True 
 B)False

Question 4

A joint probability can have a value greater than 1.

Accepted Answer

A) True 
 B)False

Question 5

P(A|B)= P(AC|B)for all events A and B.

Accepted Answer

A) True 
 B)False

Question 6

P(A|B)+ P(A|BC)= 1 for all events A and B.

Accepted Answer

A) True 
 B)False

Question 7

Explain the difference between mutually exclusive and independent events.Can a pair of events be both mutually exclusive and independent?​

Accepted Answer

Mutually exclusive events are events tha

Question 8

P(A|B)= P(B|A)for all events A and B.

Accepted Answer

A) True 
 B)False

Question 9

Two events that are mutually exclusive cannot be independent.

Accepted Answer

A) True 
 B)False

Question 10

Any process that generates well-defined outcomes is

Accepted Answer

A) an event 
B) an experiment 
C) a sample point 
D) None of the other answers is correct. 
A) an event 
B) an experiment 
C) a sample point 
D) None of the other answers is correct.

Question 11

Discuss the problems inherent in using words such as "likely," "possibly," or "probably" to convey degree of belief.​

Accepted Answer

Using words such as "likely," "possibly,

Question 12

If P(A|B)= .4,then

Accepted Answer

A) P(B|
A) = .6 
B) P(
A) *P(
B) = .4 
C) P(
A) / P(
B) = .4 
D) None of the alternatives is correct. 
A) P(B|
A) = .6 
B) P(
A) *P(
B) = .4 
C) P(
A) / P(
B) = .4 
D) None of the alternatives is correct.

Question 13

A posterior probability is a conditional probability.

Accepted Answer

A) True 
 B)False

Question 14

Describe four experiments and list the experimental outcomes associated with each one.​

Accepted Answer

Experiment 1: Testing the effects of caf

Question 15

When the conclusions based upon the aggregated crosstabulation can be completely reversed if we look at the unaggregated data,the occurrence is known as

Accepted Answer

A) reverse correlation 
B) inferential statistics 
C) Simpson's paradox 
D) disaggregation 
A) reverse correlation 
B) inferential statistics 
C) Simpson's paradox 
D) disaggregation

Question 16

If P(A|B)= .2 and P(Bc)= .6,then P(B|A)

Accepted Answer

A) is .8 
B) is .12 
C) is .33 
D) cannot be determined. 
A) is .8 
B) is .12 
C) is .33 
D) cannot be determined.

Question 17

An experiment consists of tossing 4 coins successively.The number of sample points in this experiment is

Accepted Answer

A) 16 
B) 8 
C) 4 
D) 2 
A) 16 
B) 8 
C) 4 
D) 2

Question 18

The complement of P(A | B)is

Accepted Answer

Question 19

Before drawing any conclusions about the relationship between two variables shown in a crosstabulation,you should

Accepted Answer

A) investigate whether any hidden variables could affect the conclusions 
B) construct a scatter diagram and find the trendline 
C) develop a relative frequency distribution 
D) construct an ogive for each of the variables 
A) investigate whether any hidden variables could affect the conclusions 
B) construct a scatter diagram and find the trendline 
C) develop a relative frequency distribution 
D) construct an ogive for each of the variables

Question 20

Which of the following is not a valid representation of a probability?

Accepted Answer

A) 35% 
B) 0 
C) 1.04 
D) 3/8 
A) 35% 
B) 0 
C) 1.04 
D) 3/8

If A and B are mutually exclusive events,then P(A | B)= 0.

One of the basic requirements of probability is

P(A|B)= 1 − P(B|A)for all events A and B.

A joint probability can have a value greater than 1.

P(A|B)= P(A^C|B)for all events A and B.

P(A|B)+ P(A|B^C)= 1 for all events A and B.

Explain the difference between mutually exclusive and independent events.Can a pair of events be both mutually exclusive and independent?

P(A|B)= P(B|A)for all events A and B.

Two events that are mutually exclusive cannot be independent.

Any process that generates well-defined outcomes is

Discuss the problems inherent in using words such as "likely," "possibly," or "probably" to convey degree of belief.

If P(A|B)= .4,then

A posterior probability is a conditional probability.

Describe four experiments and list the experimental outcomes associated with each one.

When the conclusions based upon the aggregated crosstabulation can be completely reversed if we look at the unaggregated data,the occurrence is known as

If P(A|B)= .2 and P(B^c)= .6,then P(B|A)

An experiment consists of tossing 4 coins successively.The number of sample points in this experiment is

The complement of P(A | B)is

Before drawing any conclusions about the relationship between two variables shown in a crosstabulation,you should

Which of the following is not a valid representation of a probability?

Introduction

Probability Distributions

Decision Analysis

Utility Game Theory

Time Series Analysis Forecasting

Intro to Linear Programming

LP Sensitivity Analysis

LP Applications

Distribution Network Models

Integer Linear Programming

Advanced Optimization Applications

Project Scheduling

Inventory Models

Waiting Line Models

Simulation

Markov Processes

Filters

Exam 2: Introduction to Probability

If A and B are mutually exclusive events,then P(A | B)= 0.

One of the basic requirements of probability is

P(A|B)= 1 − P(B|A)for all events A and B.

A joint probability can have a value greater than 1.

P(A|B)= P(AC|B)for all events A and B.

P(A|B)+ P(A|BC)= 1 for all events A and B.

Explain the difference between mutually exclusive and independent events.Can a pair of events be both mutually exclusive and independent?​

P(A|B)= P(B|A)for all events A and B.

Two events that are mutually exclusive cannot be independent.

Any process that generates well-defined outcomes is

Discuss the problems inherent in using words such as "likely," "possibly," or "probably" to convey degree of belief.​

If P(A|B)= .4,then

A posterior probability is a conditional probability.

Describe four experiments and list the experimental outcomes associated with each one.​

When the conclusions based upon the aggregated crosstabulation can be completely reversed if we look at the unaggregated data,the occurrence is known as

If P(A|B)= .2 and P(Bc)= .6,then P(B|A)

An experiment consists of tossing 4 coins successively.The number of sample points in this experiment is

The complement of P(A | B)is

Before drawing any conclusions about the relationship between two variables shown in a crosstabulation,you should

Which of the following is not a valid representation of a probability?

Introduction

Probability Distributions

Decision Analysis

Utility Game Theory

Time Series Analysis Forecasting

Intro to Linear Programming

LP Sensitivity Analysis

LP Applications

Distribution Network Models

Integer Linear Programming

Advanced Optimization Applications

Project Scheduling

Inventory Models

Waiting Line Models

Simulation

Markov Processes

Filters

P(A|B)= P(A^C|B)for all events A and B.

P(A|B)+ P(A|B^C)= 1 for all events A and B.

Explain the difference between mutually exclusive and independent events.Can a pair of events be both mutually exclusive and independent?

Discuss the problems inherent in using words such as "likely," "possibly," or "probably" to convey degree of belief.

Describe four experiments and list the experimental outcomes associated with each one.

If P(A|B)= .2 and P(B^c)= .6,then P(B|A)