Question 1

Draw a Venn diagram and label appropriately to show events A,B,their complements,intersection,and union.

Accepted Answer

To create a Venn diagram to show events

Question 2

Compare these two descriptions of probability: 1)a measure of the degree of uncertainty associated with an event,and 2)a measure of your degree of belief that an event will happen.

Accepted Answer

The first description of probability as

Question 3

A food distributor carries 64 varieties of salad dressing.Appleton Markets stocks 48 of these flavors.Beacon Stores carries 32 of them.The probability that a flavor will be carried by Appleton or Beacon is 15/16.Use a Venn diagram to find the probability a flavor is carried by both Appleton and Beacon.

Accepted Answer

The Venn diagram is @#IMG-DLM& and P(A @#IMG-DLM&

Question 4

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 5

If P(A|B)= .4 and P(B)= .6,then P(A $\cap$ B)= .667.

Accepted Answer

A) True 
 B)False

Question 6

A market study taken at a local sporting goods store showed that of 20 people questioned,6 owned tents,10 owned sleeping bags,8 owned camping stoves,4 owned both tents and camping stoves,and 4 owned both sleeping bags and camping stoves.
Let:
Event A = owns a tent
Event B = owns a sleeping bag
Event C = owns a camping stove
and let the sample space be the 20 people questioned.
a.Find P(A), P(B), P(C), P(A $\cap$ C), P(B $\cap$ C). 
b.Are the events A and C mutually exclusive? Explain briefly.
c.Are the events B and C independent events? Explain briefly.
d.If a person questioned owns a tent, what is the probability he also owns a camping stove?
e.If two people questioned own a tent, a sleeping bag, and a camping stove, how many own only a camping stove? In this case is it possible for 3 people to own both a tent and a sleeping bag, but not a camping stove?

Accepted Answer

a.P(A)= .3; P(B)= .5; P(C)= .4; P(A @#IMG-DLM& B)=

Question 7

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

Question 8

The Ambell Company uses batteries from two different manufacturers.Historically,60% of the batteries are from manufacturer 1,and 90% of these batteries last for over 40 hours.Only 75% of the batteries from manufacturer 2 last for over 40 hours.A battery in a critical tool fails at 32 hours.What is the probability it was from manufacturer 2?

Accepted Answer

The answer of The Ambell Company uses batteries from two...

Question 9

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 10

P(A|B)= 1 F1F1F1S1F1F1F10 P(B|A)for all events A and B.

Accepted Answer

A) True 
 B)False

Question 11

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 intersection 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 12

Of the last 100 customers entering a computer shop,25 have purchased a computer.If the classical method for computing probability is used,the probability that the next customer will purchase a computer is

Accepted Answer

A) 0.25 
B) 0.50 
C) 0.75 
D) 1.00 
A) 0.25 
B) 0.50 
C) 0.75 
D) 1.00

Question 13

Mini Car Motors offers its luxury car in three colors: gold,silver and blue.The vice president of advertising is interested in the order of popularity of the color choices by customers during the first month of sales.
a.How many sample points are there in this experiment?
b.If the event A = gold is the most popular color, list the outcome(s) in event A.
c.If the event B = blue is the least popular color, list the outcome(s) in A $\cap$ B. 
d.List the outcome(s) in A $\cap$ Bc.

Accepted Answer

a.6
b.{(G,

Question 14

An applicant has applied for positions at Company A and Company B.The probability of getting an offer from Company A is 0.4,and the probability of getting an offer from Company B is 0.3.Assuming that the two job offers are independent of each other,what is the probability that
a.the applicant gets an offer from both companies?
b.the applicant will get at least one offer?
c.the applicant will not be given an offer from either company?
d.Company A does not offer the applicant a job, but Company B does?

Accepted Answer

a.0.12
b.0

Question 15

If A and B are independent events,then P(A $\cap$ B)= P(A)P(B).

Accepted Answer

A) True 
 B)False

Question 16

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

Accepted Answer

Bayes' theorem is a fundamental concept

Question 17

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 18

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 19

If 50 of 250 people contacted make a donation to the city symphony,then the relative frequency method assigns a probability of .2 to the outcome of making a donation.

Accepted Answer

A) True 
 B)False

Question 20

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

Draw a Venn diagram and label appropriately to show events A,B,their complements,intersection,and union.

Compare these two descriptions of probability: 1)a measure of the degree of uncertainty associated with an event,and 2)a measure of your degree of belief that an event will happen.

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

If P(A|B)= .4 and P(B)= .6,then P(A $\cap$ B)= .667.

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

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

P(A|B)= 1  P(B|A)for all events A and 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 intersection of A and B is

Of the last 100 customers entering a computer shop,25 have purchased a computer.If the classical method for computing probability is used,the probability that the next customer will purchase a computer is

If A and B are independent events,then P(A $\cap$ B)= P(A)P(B).

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

The union of events A and B is the event containing

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

If 50 of 250 people contacted make a donation to the city symphony,then the relative frequency method assigns a probability of .2 to the outcome of making a donation.

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.

Introduction

Probability Distributions

Decision Analysis

Utility and Game Theory

Times Series Analysis and Forecasting

Introduction to Linear Programming

Linear Programming: Sensitivity Analysis and Interpretation of Solution

Linear Programming Applications in Marketing, Finance, and Operations Management

Distribution and Network Models

Integer Linear Programming

Advanced Optimization Applications

Project Scheduling: Pertcpm

Inventory Models

Waiting Line Models

Simulation

Markov Processes

Filters

Exam 2: Introduction to Probability

Draw a Venn diagram and label appropriately to show events A,B,their complements,intersection,and union.

Compare these two descriptions of probability: 1)a measure of the degree of uncertainty associated with an event,and 2)a measure of your degree of belief that an event will happen.

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

If P(A|B)= .4 and P(B)= .6,then P(A ∩\cap∩ B)= .667.

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

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

P(A|B)= 1  P(B|A)for all events A and 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 intersection of A and B is

Of the last 100 customers entering a computer shop,25 have purchased a computer.If the classical method for computing probability is used,the probability that the next customer will purchase a computer is

If A and B are independent events,then P(A ∩\cap∩ B)= P(A)P(B).

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

The union of events A and B is the event containing

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

If 50 of 250 people contacted make a donation to the city symphony,then the relative frequency method assigns a probability of .2 to the outcome of making a donation.

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.

Introduction

Probability Distributions

Decision Analysis

Utility and Game Theory

Times Series Analysis and Forecasting

Introduction to Linear Programming

Linear Programming: Sensitivity Analysis and Interpretation of Solution

Linear Programming Applications in Marketing, Finance, and Operations Management

Distribution and Network Models

Integer Linear Programming

Advanced Optimization Applications

Project Scheduling: Pertcpm

Inventory Models

Waiting Line Models

Simulation

Markov Processes

Filters

If P(A|B)= .4 and P(B)= .6,then P(A $\cap$ B)= .667.

If A and B are independent events,then P(A $\cap$ B)= P(A)P(B).