Question 1

If two events are mutually exclusive, the probability of both events occurring is simply the sum of the individual probabilities.

Accepted Answer

A) True 
 B)False

Question 2

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 female or majoring in something other than engineering?

Accepted Answer

A) 0.10 
B) 0.30 
C) 0.70 
D) 0.90 
A) 0.10 
B) 0.30 
C) 0.70 
D) 0.90

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 no more than 3 customers would be willing to switch their cable?

Accepted Answer

A) 0.85 
B) 0.15 
C) 0.20 
D) 0.411 
A) 0.85 
B) 0.15 
C) 0.20 
D) 0.411

Question 4

Bayes' theorem enables us to calculate the probability that one event takes place knowing that a second event has or has not taken place.

Accepted Answer

A) True 
 B)False

Question 5

Given two statistically independent events (A,B), the conditional probability P(A|B)= P(A).

Accepted Answer

A) True 
 B)False

Question 6

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 less than 2 minutes for a particular customer to get a license renewal?

Accepted Answer

A) 1 
B) 0.487 
C) 0.513 
D) 0 
A) 1 
B) 0.487 
C) 0.513 
D) 0

Question 7

Assume you have a normal distribution representing the likelihood of completion times.The mean of this distribution is 10, and the standard deviation is 3.The probability of completing the project in 7 or fewer days is the same as the probability of completing the project in 13 days or more.

Accepted Answer

A) True 
 B)False

Question 8

The F statistic is the ratio of two sample standard deviations from independent normal distributions.

Accepted Answer

A) True 
 B)False

Question 9

ABC Manufacturing has 6 machines that perform a particular task.Breakdowns occur frequently for this machine.Past records indicate that the number of breakdowns that occur each day is described by the following probability distribution:
   a.What is the expected number of breakdowns in any given day?
b.What is the variance for this distribution?
c.What is the probability that there will be at least 2 breakdowns in a day?

Accepted Answer

a.expected value = 1

Question 10

The expected value of a binomial distribution is expressed as np, where n equals the number of trials and p equals the probability of success of any individual trial.

Accepted Answer

A) True 
 B)False

Question 11

At a university with 1,000 business majors, there are 200 business students enrolled in an introductory statistics course.Of these 200 students, 50 are also enrolled in an introductory accounting course.There are an additional 250 business students enrolled in accounting but not enrolled in statistics.If a business student is selected at random, what is the probability that the student is enrolled in both statistics and accounting?

Accepted Answer

A) 0.05 
B) 0.06 
C) 0.20 
D) 0.25 
A) 0.05 
B) 0.06 
C) 0.20 
D) 0.25

Question 12

In what way is the F distribution often used?

Accepted Answer

It is helpful in tes

Question 13

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 comes back negative if the disease is present?

Accepted Answer

A) 0.89 
B) 0.01 
C) 0.96 
D) 0.04 
A) 0.89 
B) 0.01 
C) 0.96 
D) 0.04

Question 14

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 comes back positive if the disease is present?

Accepted Answer

A) 0.8894 
B) 0.9500 
C) 0.9600 
D) 0.9900 
A) 0.8894 
B) 0.9500 
C) 0.9600 
D) 0.9900

Question 15

Compute the F value based on the following:
(a)df1 = 2, df2 = 4, α = 0.01
(b)df1 = 3 df2 = 6, α = 0.05

Accepted Answer

Question 16

The length of time that it takes the tollbooth attendant to service each driver can typically be described by the

Accepted Answer

A) normal distribution. 
B) uniform distribution. 
C) exponential distribution. 
D) Poisson distribution. 
A) normal distribution. 
B) uniform distribution. 
C) exponential distribution. 
D) Poisson distribution.

Question 17

Properties of the normal distribution include

Accepted Answer

A) a continuous bell-shaped distribution. 
B) a discrete probability distribution. 
C) the number of trials is known and is either 1, 2, 3, 4, 5, etc. 
D) the random variable can assume only a finite or limited set of values. 
A) a continuous bell-shaped distribution. 
B) a discrete probability distribution. 
C) the number of trials is known and is either 1, 2, 3, 4, 5, etc. 
D) the random variable can assume only a finite or limited set of values.

Question 18

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 negative if the disease is absent?

Accepted Answer

A) 0.95 
B) 0.96 
C) 0.99 
D) 0.995 
A) 0.95 
B) 0.96 
C) 0.99 
D) 0.995

Question 19

What is the relationship between the exponential distribution and the Poisson distribution?

Accepted Answer

The exponential and Poisson distribution

Question 20

Data for a particular subdivision near downtown Houston indicate that the average price per square foot for a home is $100 with a standard deviation of $5 (normally distributed).What is the probability that the average price per square foot for a home is less than $108?

Accepted Answer

A) 0.152 
B) 0.097 
C) 0.848 
D) 0.945 
A) 0.152 
B) 0.097 
C) 0.848 
D) 0.945

If two events are mutually exclusive, the probability of both events occurring is simply the sum of the individual probabilities.

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 no more than 3 customers would be willing to switch their cable?

Bayes' theorem enables us to calculate the probability that one event takes place knowing that a second event has or has not taken place.

Given two statistically independent events (A,B), the conditional probability P(A|B)= P(A).

Assume you have a normal distribution representing the likelihood of completion times.The mean of this distribution is 10, and the standard deviation is 3.The probability of completing the project in 7 or fewer days is the same as the probability of completing the project in 13 days or more.

The F statistic is the ratio of two sample standard deviations from independent normal distributions.

The expected value of a binomial distribution is expressed as np, where n equals the number of trials and p equals the probability of success of any individual trial.

In what way is the F distribution often used?

Compute the F value based on the following: (a)df₁ = 2, df₂ = 4, α = 0.01 (b)df₁ = 3 df₂ = 6, α = 0.05

The length of time that it takes the tollbooth attendant to service each driver can typically be described by the

Properties of the normal distribution include

What is the relationship between the exponential distribution and the Poisson distribution?

Data for a particular subdivision near downtown Houston indicate that the average price per square foot for a home is $100 with a standard deviation of $5 (normally distributed).What is the probability that the average price per square foot for a home is less than $108?

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

If two events are mutually exclusive, the probability of both events occurring is simply the sum of the individual probabilities.

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 no more than 3 customers would be willing to switch their cable?

Bayes' theorem enables us to calculate the probability that one event takes place knowing that a second event has or has not taken place.

Given two statistically independent events (A,B), the conditional probability P(A|B)= P(A).

Assume you have a normal distribution representing the likelihood of completion times.The mean of this distribution is 10, and the standard deviation is 3.The probability of completing the project in 7 or fewer days is the same as the probability of completing the project in 13 days or more.

The F statistic is the ratio of two sample standard deviations from independent normal distributions.

The expected value of a binomial distribution is expressed as np, where n equals the number of trials and p equals the probability of success of any individual trial.

In what way is the F distribution often used?

Compute the F value based on the following: (a)df1 = 2, df2 = 4, α = 0.01 (b)df1 = 3 df2 = 6, α = 0.05

The length of time that it takes the tollbooth attendant to service each driver can typically be described by the

Properties of the normal distribution include

What is the relationship between the exponential distribution and the Poisson distribution?

Data for a particular subdivision near downtown Houston indicate that the average price per square foot for a home is $100 with a standard deviation of $5 (normally distributed).What is the probability that the average price per square foot for a home is less than $108?

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

Compute the F value based on the following: (a)df₁ = 2, df₂ = 4, α = 0.01 (b)df₁ = 3 df₂ = 6, α = 0.05