Exam 2: Introduction to Probability

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.

Free

(True/False)

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Question 1

Correct Answer:

Verified

False

The union of events A and B is the event containing

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(Multiple Choice)

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Question 2

Correct Answer:

Verified

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

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(True/False)

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Question 3

Correct Answer:

Verified

False

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

(Multiple Choice)

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Question 4

If P(A)= 0.38,P(B)= 0.83,and P(A $\cap$ B)= 0.27;then P(A $\cup$ B)=

(Multiple Choice)

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Question 5

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

(True/False)

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Question 6

The following probability model describes the number of snow storms for Washington,D.C.for a given year: The probability of 7 or more snowstorms in a year is 0. a.What is the probability of more than 2 but less than 5 snowstorms? b.Given this a particularly cold year (in which 2 snowstorms have already been observed),what is the conditional probability that 4 or more snowstorms will be observed? c.If at the beginning of winter there is a snowfall,what is the probability of at least one more snowstorm before winter is over?

(Essay)

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Question 7

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.

(Essay)

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Question 8

A graphical device used for enumerating sample points in a multiple-step experiment is a Venn diagram.

(True/False)

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Question 9

A joint probability can have a value greater than 1.

(True/False)

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Question 10

An investment advisor recommends the purchase of shares in Probaballisitics,Inc.He has made the following predictions: P(Stock goes up 20% | Rise in GDP)= .6 P(Stock goes up 20% | Level GDP)= .5 P(Stock goes up 20% | Fall in GDP)= .4 An economist has predicted that the probability of a rise in the GDP is 30%,whereas the probability of a fall in the GDP is 40%. a.What is the probability that the stock will go up 20%? b.We have been informed that the stock has gone up 20%.What is the probability of a rise or fall in the GDP?

(Essay)

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Question 11

The probability of an event

(Multiple Choice)

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Question 12

Global Airlines operates two types of jet planes: jumbo and ordinary.On jumbo jets,25% of the passengers are on business while on ordinary jets 30% of the passengers are on business.Of Global's air fleet,40% of its capacity is provided on jumbo jets.(Hint: The 25% and 30% values are conditional probabilities stated as percentages. ) a.What is the probability a randomly chosen business customer flying with Global is on a jumbo jet? b.What is the probability a randomly chosen non-business customer flying with Global is on an ordinary jet?

(Essay)

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Question 13

P(A $\cap$ B) $\ge$ P(A)

(True/False)

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Question 14

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(ASYMBOL 199 \f "Symbol"C),P(BSYMBOL 199 \f "Symbol"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?

(Essay)

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Question 15

If A and B are independent events with P(A)= 0.1 and P(B)= 0.5,then P(A  B)= .6.

(True/False)

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Question 16

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

(Multiple Choice)

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Question 17

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

(Multiple Choice)

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Question 18

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

(Multiple Choice)

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Question 19

It is estimated that 3% of the athletes competing in a large tournament are users of an illegal drug to enhance performance.The test for this drug is 90% accurate.What is the probability that an athlete who tests positive is actually a user?

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Question 20

Showing 1 - 20 of 53

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.

The union of events A and B is the event containing

P(A|B)= 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 union of A and B is

If P(A)= 0.38,P(B)= 0.83,and P(A $\cap$ B)= 0.27;then P(A $\cup$ B)=

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

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.

A graphical device used for enumerating sample points in a multiple-step experiment is a Venn diagram.

A joint probability can have a value greater than 1.

The probability of an event

P(A $\cap$ B) $\ge$ P(A)

If A and B are independent events with P(A)= 0.1 and P(B)= 0.5,then P(A  B)= .6.

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

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

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

It is estimated that 3% of the athletes competing in a large tournament are users of an illegal drug to enhance performance.The test for this drug is 90% accurate.What is the probability that an athlete who tests positive is actually a user?

Introduction

Probability Distributions

Decision Analysis

Utility and Game Theory

Forecasting

Introduction to Linear Programming

Lp Sensitivity Analysis and Interpretation of Solution

Linear Programming Applications

Distribution and Network Problems

Integer Linear Programming

Advanced Optimization Application

Project Scheduling: Pertcpm

Inventory Models

Waiting Line Models

Simulation

Markov Processes

Filters

Exam 2: Introduction to Probability

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.

The union of events A and B is the event containing

P(A|B)= 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 union of A and B is

If P(A)= 0.38,P(B)= 0.83,and P(A ∩\cap∩ B)= 0.27;then P(A ∪\cup∪ B)=

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

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.

A graphical device used for enumerating sample points in a multiple-step experiment is a Venn diagram.

A joint probability can have a value greater than 1.

The probability of an event

P(A ∩\cap∩ B) ≥\ge≥ P(A)

If A and B are independent events with P(A)= 0.1 and P(B)= 0.5,then P(A  B)= .6.

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

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

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

It is estimated that 3% of the athletes competing in a large tournament are users of an illegal drug to enhance performance.The test for this drug is 90% accurate.What is the probability that an athlete who tests positive is actually a user?

Introduction

Probability Distributions

Decision Analysis

Utility and Game Theory

Forecasting

Introduction to Linear Programming

Lp Sensitivity Analysis and Interpretation of Solution

Linear Programming Applications

Distribution and Network Problems

Integer Linear Programming

Advanced Optimization Application

Project Scheduling: Pertcpm

Inventory Models

Waiting Line Models

Simulation

Markov Processes

Filters

If P(A)= 0.38,P(B)= 0.83,and P(A $\cap$ B)= 0.27;then P(A $\cup$ B)=

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

P(A $\cap$ B) $\ge$ P(A)

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