Question 1

If two events (A,B)are dependent, what is the conditional probability of P(A|B)?

Accepted Answer

The answer of If two events (A,B)are dependent, what is...

Question 2

A company is considering producing some new Gameboy electronic games.Based on past records, management believes that there is a 70 percent chance that each of these will be successful and a 30 percent chance of failure.Market research may be used to revise these probabilities.In the past, the successful products were predicted to be successful based on market research 90 percent of the time.However, for products that failed, the market research predicted these would be successes 20 percent of the time.If market research is performed for a new product, what is the probability that the results indicate an unsuccessful market for the product and the product is actually successful?

Accepted Answer

A) 0.63 
B) 0.06 
C) 0.07 
D) 0.24 
A) 0.63 
B) 0.06 
C) 0.07 
D) 0.24

Question 3

Arrivals in a university advising office during the week of registration are known to follow a Poisson distribution with an average of 4 people arriving each hour.
(a)What is the probability that exactly 4 people will arrive in the next hour?
(b)What is the probability that exactly 5 people will arrive in the next hour?

Accepted Answer

(a)P(X = 4

Question 4

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 between 2 and 5 (inclusive)customers are willing to switch companies?

Accepted Answer

A) 0.1369 
B) 0.1746 
C) 0.0377 
D) 0.7350 
A) 0.1369 
B) 0.1746 
C) 0.0377 
D) 0.7350

Question 5

The Department of Motor Vehicles (DMV)can service customers at a rate of 20 per hour (or 1/3 per minute)when it comes to license renewals.The service time follows an exponential distribution.What is the probability that it will take between 2 and 3 minutes to be served?

Accepted Answer

A) 0.4831 
B) 0 
C) 1 
D) 0.1419 
A) 0.4831 
B) 0 
C) 1 
D) 0.1419

Question 6

Suppose that when the temperature is between 35 and 50 degrees, it has historically rained 40% of the time.Also, historically, the month of April has had a temperature between 35 and 50 degrees on 25 days.You have scheduled a golf tournament for April 12.What is the probability that players will experience rain and a temperature between 35 and 50 degrees?

Accepted Answer

A) 0.333 
B) 0.400 
C) 0.833 
D) 0.480 
A) 0.333 
B) 0.400 
C) 0.833 
D) 0.480

Question 7

Which of these suggests a discrete random variable?

Accepted Answer

A) the exact time it takes to run a mile 
B) the exact number of registered voters in your state 
C) the exact amount of blood in a human body 
D) the lifetime of a CF light bulb 
A) the exact time it takes to run a mile 
B) the exact number of registered voters in your state 
C) the exact amount of blood in a human body 
D) the lifetime of a CF light bulb

Question 8

A new young executive is perplexed at the number of interruptions that occur due to employee relations.She has decided to track the number of interruptions that occur during each hour of her day.Over the last month, she has determined that between 0 and 3 interruptions occur during any given hour of her day.The data is shown below.
   On average, she should expect 0.8 interruptions per hour.

Accepted Answer

A) True 
 B)False

Question 9

If two events (A,B)are mutually exclusive, what is the probability of event A or event B occurring?

Accepted Answer

P(A or B)=

Question 10

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 more than 580 minutes?

Accepted Answer

A) 0.152 
B) 0.0548 
C) 0.848 
D) 0.903 
A) 0.152 
B) 0.0548 
C) 0.848 
D) 0.903

Question 11

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 400 minutes?

Accepted Answer

A) 0 
B) 0.023 
C) 0.159 
D) 0.977 
A) 0 
B) 0.023 
C) 0.159 
D) 0.977

Question 12

If two events (A,B)are not mutually exclusive, what is the probability of event A or event B occurring?

Accepted Answer

P(A or B)=

Question 13

A company is considering producing some new Gameboy electronic games.Based on past records, management believes that there is a 70 percent chance that each of these will be successful and a 30 percent chance of failure.Market research may be used to revise these probabilities.In the past, the successful products were predicted to be successful based on market research 90 percent of the time.However, for products that failed, the market research predicted these would be successes 20 percent of the time.If market research is performed for a new product, what is the probability that the results indicate a successful market for the product and the product actually is successful?

Accepted Answer

A) 0.90 
B) 0.54 
C) 0.60 
D) 0.63 
A) 0.90 
B) 0.54 
C) 0.60 
D) 0.63

Question 14

Which of the following is not true for discrete random variables?

Accepted Answer

A) The expected value is the weighted average of the values. 
B) They can assume only a countable number of values. 
C) The probability of each value of the random variable must be 0. 
D) The probability values always sum up to 1. 
A) The expected value is the weighted average of the values. 
B) They can assume only a countable number of values. 
C) The probability of each value of the random variable must be 0. 
D) The probability values always sum up to 1.

Question 15

A company is considering producing some new Gameboy electronic games.Based on past records, management believes that there is a 70 percent chance that each of these will be successful and a 30 percent chance of failure.Market research may be used to revise these probabilities.In the past, the successful products were predicted to be successful based on market research 90 percent of the time.However, for products that failed, the market research predicted these would be successes 20 percent of the time.If market research is performed for a new product, what is the probability that the results indicate an unsuccessful market for the product and the product is actually unsuccessful?

Accepted Answer

A) 0.63 
B) 0.06 
C) 0.07 
D) 0.24 
A) 0.63 
B) 0.06 
C) 0.07 
D) 0.24

Question 16

Given the following distribution:
   The expected value is 3.

Accepted Answer

A) True 
 B)False

Question 17

If we roll a single die twice, the probability that the sum of the dots showing on the two rolls equals four (4), is 1/6.

Accepted Answer

A) True 
 B)False

Question 18

What is the F value associated with α = 0.05, numerator degrees of freedom (df1)equal to 4, and denominator degrees of freedom (df2)equal to 9?

Accepted Answer

A) 3.63 
B) 1.80 
C) 6.0 
D) 0.11 
A) 3.63 
B) 1.80 
C) 6.0 
D) 0.11

Question 19

Suppose that 10 sophomores enter a belching contest and that their respective skill levels are approximately the same.Six of the entrants are female and two of those are engineering majors.Three of the men are engineers.What is the probability that the winner will be either a non-engineering major or a male?

Accepted Answer

A) 0.20 
B) 0.40 
C) 0.60 
D) 0.80 
A) 0.20 
B) 0.40 
C) 0.60 
D) 0.80

Question 20

A posterior probability is a revised probability.

Accepted Answer

A) True 
 B)False

If two events (A,B)are dependent, what is the conditional probability of P(A|B)?

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 between 2 and 5 (inclusive)customers are willing to switch companies?

The Department of Motor Vehicles (DMV)can service customers at a rate of 20 per hour (or 1/3 per minute)when it comes to license renewals.The service time follows an exponential distribution.What is the probability that it will take between 2 and 3 minutes to be served?

Which of these suggests a discrete random variable?

If two events (A,B)are mutually exclusive, what is the probability of event A or event B occurring?

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 more than 580 minutes?

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 400 minutes?

If two events (A,B)are not mutually exclusive, what is the probability of event A or event B occurring?

Which of the following is not true for discrete random variables?

Given the following distribution: The expected value is 3.

If we roll a single die twice, the probability that the sum of the dots showing on the two rolls equals four (4), is 1/6.

What is the F value associated with α = 0.05, numerator degrees of freedom (df₁)equal to 4, and denominator degrees of freedom (df₂)equal to 9?

A posterior probability is a revised probability.

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

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Exam 2: Probability Concepts and Applications

If two events (A,B)are dependent, what is the conditional probability of P(A|B)?

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 between 2 and 5 (inclusive)customers are willing to switch companies?

The Department of Motor Vehicles (DMV)can service customers at a rate of 20 per hour (or 1/3 per minute)when it comes to license renewals.The service time follows an exponential distribution.What is the probability that it will take between 2 and 3 minutes to be served?

Which of these suggests a discrete random variable?

If two events (A,B)are mutually exclusive, what is the probability of event A or event B occurring?

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 more than 580 minutes?

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 400 minutes?

If two events (A,B)are not mutually exclusive, what is the probability of event A or event B occurring?

Which of the following is not true for discrete random variables?

Given the following distribution: The expected value is 3.

If we roll a single die twice, the probability that the sum of the dots showing on the two rolls equals four (4), is 1/6.

What is the F value associated with α = 0.05, numerator degrees of freedom (df1)equal to 4, and denominator degrees of freedom (df2)equal to 9?

A posterior probability is a revised probability.

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

What is the F value associated with α = 0.05, numerator degrees of freedom (df₁)equal to 4, and denominator degrees of freedom (df₂)equal to 9?