Question 1

What are the parameter(s)of the Poisson distribution? What is the ratio of these parameters?

Accepted Answer

The parameters are t

Question 2

Suppose that you enter a drawing by obtaining one of 20 tickets that have been distributed.By using the classical method, you can determine that the probability of your winning the drawing is 0.05.

Accepted Answer

A) True 
 B)False

Question 3

Historical data indicates that only 20% of cable customers are willing to switch companies.If a binomial process is assumed, then in a sample of 20 cable customers, what is the probability that exactly 2 customers would be willing to switch their cable?

Accepted Answer

A) 0.1 
B) 0.04 
C) 0.137 
D) 0.206 
A) 0.1 
B) 0.04 
C) 0.137 
D) 0.206

Question 4

When does P(A|B)= P(A)?

Accepted Answer

A) when A and B are mutually exclusive 
B) when A and B are statistically independent 
C) when A and B are statistically dependent 
D) when A and B are collectively exhaustive 
A) when A and B are mutually exclusive 
B) when A and B are statistically independent 
C) when A and B are statistically dependent 
D) when A and B are collectively exhaustive

Question 5

Machine breakdowns occur at a rate of 0.4 per week.The time between breakdowns follows an exponential distribution.What is the probability that more than 2 weeks go by without a breakdown?

Accepted Answer

The answer of Machine breakdowns occur at a rate of...

Question 6

Arrivals at a fast-food restaurant follow a Poisson distribution with a mean arrival rate of 16 customers per hour.What is the probability that in the next hour there will be exactly 12 arrivals?

Accepted Answer

A) 0.0000 
B) 0.0661 
C) 0.7500 
D) 0.1322 
A) 0.0000 
B) 0.0661 
C) 0.7500 
D) 0.1322

Question 7

Given a df1 = 3 and df2 = 6, what is the probability that F is greater than 4.3?

Accepted Answer

A) 0.0610 
B) 0.1294 
C) 0.05 
D) 0.5 
A) 0.0610 
B) 0.1294 
C) 0.05 
D) 0.5

Question 8

For df1 = 34 and df2 = 5, what value of the F-statistic is required such that P(F>f)= 0.001?

Accepted Answer

Question 9

The time required to travel downtown at 10 a.m.on Monday morning is known to be normally distributed with a mean of 40 minutes and a standard deviation of 5 minutes.What is the probability that it will take less than 40 minutes?

Accepted Answer

A) 0.50 
B) 0.20 
C) 0.80 
D) 1.00 
A) 0.50 
B) 0.20 
C) 0.80 
D) 1.00

Question 10

A company is considering producing two new electronic games designed for the popular Gameboy toy.Based on market data, management believes that there is a 60 percent chance that a "cops and robbers" game will be successful and a 40 percent chance that a "let's play house" game will be successful.As these products are completely different, it may be assumed that the success of one is totally independent of the success of the other.If two products are introduced to the market, what is the probability that both are failures?

Accepted Answer

A) 0.16 
B) 0.24 
C) 0.80 
D) 0.36 
A) 0.16 
B) 0.24 
C) 0.80 
D) 0.36

Question 11

Disco Fever is randomly found in one half of one percent of the general population.Testing a swatch of clothing for the presence of polyester is 99% effective in detecting the presence of this disease.The test also yields a false-positive in 4% of the cases where the disease is not present.What is the probability that the test result is positive if the disease is absent?

Accepted Answer

A) 0.01 
B) 0.05 
C) 0.055 
D) 0.04 
A) 0.01 
B) 0.05 
C) 0.055 
D) 0.04

Question 12

Suppose that 10 golfers enter a tournament and that their respective skill levels are approximately the same.What is the probability that one of the first three golfers that registered for the tournament will win?

Accepted Answer

A) 0.100 
B) 0.001 
C) 0.300 
D) 0.299 
A) 0.100 
B) 0.001 
C) 0.300 
D) 0.299

Question 13

The number of cell phone minutes used by high school seniors follows a normal distribution with a mean of 500 and a standard deviation of 50.What is the probability that a student uses fewer than 600 minutes?

Accepted Answer

A) 0 
B) 0.023 
C) 0.841 
D) 0.977 
A) 0 
B) 0.023 
C) 0.841 
D) 0.977

Question 14

The time required to complete a project is normally distributed with a mean of 80 weeks and a standard deviation of 10 weeks.The construction company must pay a penalty if the project is not finished by the due date in the contract.If a construction company bidding on this contract puts in a due date of 80 weeks, what is the probability that they will have to pay a penalty?

Accepted Answer

A) 0 
B) 1.000 
C) 0.500 
D) 1/8 
A) 0 
B) 1.000 
C) 0.500 
D) 1/8

Question 15

What is the probability that F is between 4 and 5, given a df1 = 4 and df2 = 6?

Accepted Answer

A) 0.0654 
B) 0.0406 
C) 0.0248 
D) 0.05 
A) 0.0654 
B) 0.0406 
C) 0.0248 
D) 0.05

Question 16

Queuing Theory makes use of the

Accepted Answer

A) normal probability distribution. 
B) uniform probability distribution. 
C) binomial probability distribution. 
D) Poisson probability distribution. 
A) normal probability distribution. 
B) uniform probability distribution. 
C) binomial probability distribution. 
D) Poisson probability distribution.

Question 17

Given two statistically independent events (A,B), the joint probability of P(AB)= P(A)+ P(B).

Accepted Answer

A) True 
 B)False

Question 18

Although one revision of prior probabilities can provide useful posterior probability estimates, additional information can be gained from performing the experiment a second time.

Accepted Answer

A) True 
 B)False

Question 19

The number of calls received by call center follows a Poisson process with a rate of 1.5 per minute.What is the probability that a minute goes by without a call?

Accepted Answer

A) 0 
B) 0.223 
C) 0.500 
D) 0.558 
E) 1 
A) 0 
B) 0.223 
C) 0.500 
D) 0.558 
E) 1

Question 20

A new television program was viewed by 200 people (120 females and 80 males).Of the females, 60 liked the program and 60 did not.Of the males, 60 of the 80 liked the program.
(a)What is the probability that a randomly selected individual liked the program?
(b)If a male in this group is selected, what is the probability that he liked the program?
(c)What is the probability that a randomly selected individual is a female and liked the program?

Accepted Answer

(a)120/200 = 0.60 (b

What are the parameter(s)of the Poisson distribution? What is the ratio of these parameters?

Suppose that you enter a drawing by obtaining one of 20 tickets that have been distributed.By using the classical method, you can determine that the probability of your winning the drawing is 0.05.

Historical data indicates that only 20% of cable customers are willing to switch companies.If a binomial process is assumed, then in a sample of 20 cable customers, what is the probability that exactly 2 customers would be willing to switch their cable?

When does P(A|B)= P(A)?

Machine breakdowns occur at a rate of 0.4 per week.The time between breakdowns follows an exponential distribution.What is the probability that more than 2 weeks go by without a breakdown?

Arrivals at a fast-food restaurant follow a Poisson distribution with a mean arrival rate of 16 customers per hour.What is the probability that in the next hour there will be exactly 12 arrivals?

Given a df₁ = 3 and df₂ = 6, what is the probability that F is greater than 4.3?

For df₁ = 34 and df₂= 5, what value of the F-statistic is required such that P(F>f)= 0.001?

The time required to travel downtown at 10 a.m.on Monday morning is known to be normally distributed with a mean of 40 minutes and a standard deviation of 5 minutes.What is the probability that it will take less than 40 minutes?

Suppose that 10 golfers enter a tournament and that their respective skill levels are approximately the same.What is the probability that one of the first three golfers that registered for the tournament will win?

The number of cell phone minutes used by high school seniors follows a normal distribution with a mean of 500 and a standard deviation of 50.What is the probability that a student uses fewer than 600 minutes?

What is the probability that F is between 4 and 5, given a df₁ = 4 and df₂ = 6?

Queuing Theory makes use of the

Given two statistically independent events (A,B), the joint probability of P(AB)= P(A)+ P(B).

Although one revision of prior probabilities can provide useful posterior probability estimates, additional information can be gained from performing the experiment a second time.

The number of calls received by call center follows a Poisson process with a rate of 1.5 per minute.What is the probability that a minute goes by without a call?

Introduction to Quantitative Analysis

Decision Analysis

Regression Models

Forecasting

Inventory Control Models

Linear Programming Models: Graphical and Computer Methods

Linear Programming Applications

Transportation, Assignment, and Network Models

Integer Programming, Goal Programming, and Nonlinear Programming

Project Management

Waiting Lines and Queuing Theory Models

Simulation Modeling

Markov Analysis

Statistical Quality Control

Analytic Hierarchy Process

Dynamic Programming

Decision Theory and the Normal Distribution

Game Theory

Mathematical Tools: Determinants and Matrices

Calculus-Based Optimization

Linear Programming: The Simplex Method

Transportation, Assignment, and Network Algorithms

Filters

Exam 2: Probability Concepts and Applications

What are the parameter(s)of the Poisson distribution? What is the ratio of these parameters?

Suppose that you enter a drawing by obtaining one of 20 tickets that have been distributed.By using the classical method, you can determine that the probability of your winning the drawing is 0.05.

Historical data indicates that only 20% of cable customers are willing to switch companies.If a binomial process is assumed, then in a sample of 20 cable customers, what is the probability that exactly 2 customers would be willing to switch their cable?

When does P(A|B)= P(A)?

Machine breakdowns occur at a rate of 0.4 per week.The time between breakdowns follows an exponential distribution.What is the probability that more than 2 weeks go by without a breakdown?

Arrivals at a fast-food restaurant follow a Poisson distribution with a mean arrival rate of 16 customers per hour.What is the probability that in the next hour there will be exactly 12 arrivals?

Given a df1 = 3 and df2 = 6, what is the probability that F is greater than 4.3?

For df1 = 34 and df2 = 5, what value of the F-statistic is required such that P(F>f)= 0.001?

The time required to travel downtown at 10 a.m.on Monday morning is known to be normally distributed with a mean of 40 minutes and a standard deviation of 5 minutes.What is the probability that it will take less than 40 minutes?

Suppose that 10 golfers enter a tournament and that their respective skill levels are approximately the same.What is the probability that one of the first three golfers that registered for the tournament will win?

The number of cell phone minutes used by high school seniors follows a normal distribution with a mean of 500 and a standard deviation of 50.What is the probability that a student uses fewer than 600 minutes?

What is the probability that F is between 4 and 5, given a df1 = 4 and df2 = 6?

Queuing Theory makes use of the

Given two statistically independent events (A,B), the joint probability of P(AB)= P(A)+ P(B).

Although one revision of prior probabilities can provide useful posterior probability estimates, additional information can be gained from performing the experiment a second time.

The number of calls received by call center follows a Poisson process with a rate of 1.5 per minute.What is the probability that a minute goes by without a call?

Introduction to Quantitative Analysis

Decision Analysis

Regression Models

Forecasting

Inventory Control Models

Linear Programming Models: Graphical and Computer Methods

Linear Programming Applications

Transportation, Assignment, and Network Models

Integer Programming, Goal Programming, and Nonlinear Programming

Project Management

Waiting Lines and Queuing Theory Models

Simulation Modeling

Markov Analysis

Statistical Quality Control

Analytic Hierarchy Process

Dynamic Programming

Decision Theory and the Normal Distribution

Game Theory

Mathematical Tools: Determinants and Matrices

Calculus-Based Optimization

Linear Programming: The Simplex Method

Transportation, Assignment, and Network Algorithms

Filters

Given a df₁ = 3 and df₂ = 6, what is the probability that F is greater than 4.3?

For df₁ = 34 and df₂= 5, what value of the F-statistic is required such that P(F>f)= 0.001?

What is the probability that F is between 4 and 5, given a df₁ = 4 and df₂ = 6?