Question 1

The probability of an intersection of two events is computed using the

Accepted Answer

A) addition law 
B) subtraction law 
C) multiplication law 
D) division law 
A) addition law 
B) subtraction law 
C) multiplication law 
D) division law

Question 2

If A and B are mutually exclusive events with P(A)= 0.3 and P(B)= 0.5,then P(A ∩ B)=

Accepted Answer

A) 0.30 
B) 0.15 
C) 0.00 
D) 0.20 
A) 0.30 
B) 0.15 
C) 0.00 
D) 0.20

Question 3

In the set of all past due accounts,let the event A mean the account is between 31 and 60 days past due and the event B mean the account is that of a new customer.The union of A and B is

Accepted Answer

A) all new customers. 
B) all accounts fewer than 31 or more than 60 days past due. 
C) all accounts from new customers and all accounts that are from 31 to 60 days past due. 
D) all new customers whose accounts are between 31 and 60 days past due. 
A) all new customers. 
B) all accounts fewer than 31 or more than 60 days past due. 
C) all accounts from new customers and all accounts that are from 31 to 60 days past due. 
D) all new customers whose accounts are between 31 and 60 days past due.

Question 4

An automobile dealership is waiting to take delivery of nine new cars.Today,anywhere from zero to all nine cars might be delivered.It is appropriate to use the classical method to assign a probability of 1/10 to each of the possible numbers that could be delivered.

Accepted Answer

A) True 
 B)False

Question 5

Use a tree diagram,labeled with appropriate notation,to illustrate Bayes' theorem.​

Accepted Answer

Bayes' theorem is a fundamental concept

Question 6

A(n)__________ is a graphical representation in which the sample space is represented by a rectangle and events are represented as circles.

Accepted Answer

A) frequency polygon 
B) histogram 
C) Venn diagram 
D) tree diagram 
A) frequency polygon 
B) histogram 
C) Venn diagram 
D) tree diagram

Question 7

The union of events A and B is the event containing

Accepted Answer

A) all the sample points common to both A and B 
B) all the sample points belonging to A or B 
C) all the sample points belonging to A or B or both 
D) all the sample points belonging to A or B,but not both 
A) all the sample points common to both A and B 
B) all the sample points belonging to A or B 
C) all the sample points belonging to A or B or both 
D) all the sample points belonging to A or B,but not both

Question 8

Posterior probabilities are computed using

Accepted Answer

A) the classical method 
B) Chebyshev's theorem 
C) the empirical rule 
D) Bayes' theorem 
A) the classical method 
B) Chebyshev's theorem 
C) the empirical rule 
D) Bayes' theorem

Question 9

A package of candy contains 12 brown,5 red,and 8 green candies.You grab three pieces from the package.Give the sample space of colors you could get.Order is not important.

Accepted Answer

Order is not implied

Question 10

An element of the sample space is

Accepted Answer

A) an event 
B) an estimator 
C) a sample point 
D) an outlier 
A) an event 
B) an estimator 
C) a sample point 
D) an outlier

Question 11

A method of assigning probabilities based upon judgment is referred to as the

Accepted Answer

A) relative method 
B) probability method 
C) classical method 
D) None of the alternatives is correct. 
A) relative method 
B) probability method 
C) classical method 
D) None of the alternatives is correct.

Question 12

Posterior probabilities are

Accepted Answer

A) simple probabilities 
B) marginal probabilities 
C) joint probabilities 
D) conditional probabilities 
A) simple probabilities 
B) marginal probabilities 
C) joint probabilities 
D) conditional probabilities

Question 13

Two events that are independent cannot be mutually exclusive.

Accepted Answer

A) True 
 B)False

Question 14

The probability of an event

Accepted Answer

A) is the sum of the probabilities of the sample points in the event. 
B) is the product of the probabilities of the sample points in the event. 
C) is the maximum of the probabilities of the sample points in the event. 
D) is the minimum of the probabilities of the sample points in the event. 
A) is the sum of the probabilities of the sample points in the event. 
B) is the product of the probabilities of the sample points in the event. 
C) is the maximum of the probabilities of the sample points in the event. 
D) is the minimum of the probabilities of the sample points in the event.

The probability of an intersection of two events is computed using the

If A and B are mutually exclusive events with P(A)= 0.3 and P(B)= 0.5,then P(A ∩ B)=

In the set of all past due accounts,let the event A mean the account is between 31 and 60 days past due and the event B mean the account is that of a new customer.The union of A and B is

An automobile dealership is waiting to take delivery of nine new cars.Today,anywhere from zero to all nine cars might be delivered.It is appropriate to use the classical method to assign a probability of 1/10 to each of the possible numbers that could be delivered.

Use a tree diagram,labeled with appropriate notation,to illustrate Bayes' theorem.

A(n)__________ is a graphical representation in which the sample space is represented by a rectangle and events are represented as circles.

The union of events A and B is the event containing

Posterior probabilities are computed using

A package of candy contains 12 brown,5 red,and 8 green candies.You grab three pieces from the package.Give the sample space of colors you could get.Order is not important.

An element of the sample space is

A method of assigning probabilities based upon judgment is referred to as the

Posterior probabilities are

Two events that are independent cannot be mutually exclusive.

The probability of an event

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

The probability of an intersection of two events is computed using the

If A and B are mutually exclusive events with P(A)= 0.3 and P(B)= 0.5,then P(A ∩ B)=

In the set of all past due accounts,let the event A mean the account is between 31 and 60 days past due and the event B mean the account is that of a new customer.The union of A and B is

An automobile dealership is waiting to take delivery of nine new cars.Today,anywhere from zero to all nine cars might be delivered.It is appropriate to use the classical method to assign a probability of 1/10 to each of the possible numbers that could be delivered.

Use a tree diagram,labeled with appropriate notation,to illustrate Bayes' theorem.​

A(n)__________ is a graphical representation in which the sample space is represented by a rectangle and events are represented as circles.

The union of events A and B is the event containing

Posterior probabilities are computed using

A package of candy contains 12 brown,5 red,and 8 green candies.You grab three pieces from the package.Give the sample space of colors you could get.Order is not important.

An element of the sample space is

A method of assigning probabilities based upon judgment is referred to as the

Posterior probabilities are

Two events that are independent cannot be mutually exclusive.

The probability of an event

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

Use a tree diagram,labeled with appropriate notation,to illustrate Bayes' theorem.