Question 1

A random variable that can take on any value along a line segment is a continuous random variable.

Accepted Answer

A) True 
 B)False

Question 2

The uniform distribution defined over the interval from 25 to 40 has the probability density function

Accepted Answer

A) f(x) = 1/40 for all x 
B) f(x) = 5/8 for 25 F1F1F1S1F1F1F10 x F1F1F1S1F1F1F10 40 and f(x) = 0 elsewhere 
C) f(x) = 1/25 for 0 F1F1F1S1F1F1F10 x F1F1F1S1F1F1F10 25 and f(x) = 1/40 for 26 F1F1F1S1F1F1F10 x F1F1F1S1F1F1F10 40 
D) f(x) = 1/15 for 25 F1F1F1S1F1F1F10 x F1F1F1S1F1F1F10 40 and f(x) = 0 elsewhere 
A) f(x) = 1/40 for all x 
B) f(x) = 5/8 for 25 F1F1F1S1F1F1F10 x F1F1F1S1F1F1F10 40 and f(x) = 0 elsewhere 
C) f(x) = 1/25 for 0 F1F1F1S1F1F1F10 x F1F1F1S1F1F1F10 25 and f(x) = 1/40 for 26 F1F1F1S1F1F1F10 x F1F1F1S1F1F1F10 40 
D) f(x) = 1/15 for 25 F1F1F1S1F1F1F10 x F1F1F1S1F1F1F10 40 and f(x) = 0 elsewhere

Question 3

When dealing with the number of occurrences of an event over a specified interval of time or space and when the occurrence or nonoccurrence in any interval is independent of the occurrence or nonoccurrence in any other interval,the appropriate probability distribution is a

Accepted Answer

A) binomial distribution 
B) Poisson distribution 
C) normal distribution 
D) hypergeometric distribution 
A) binomial distribution 
B) Poisson distribution 
C) normal distribution 
D) hypergeometric distribution

Question 4

Probabilities for discrete random variables are defined over intervals by a probability density function.

Accepted Answer

A) True 
 B)False

Question 5

Whenever the probability is proportional to the length of the interval,the random variable is uniformly distributed.

Accepted Answer

A) True 
 B)False

Question 6

Larger values of the standard deviation result in a normal curve that is

Accepted Answer

A) shifted to the right 
B) shifted to the left 
C) narrower and more peaked 
D) wider and flatter 
A) shifted to the right 
B) shifted to the left 
C) narrower and more peaked 
D) wider and flatter

Question 7

An exponential distribution,like the Poisson distribution,can be described by a single parameter.

Accepted Answer

A) True 
 B)False

Question 8

If one wanted to find the probability of ten customer arrivals in an hour at a service station,one would generally use the Poisson distribution.

Accepted Answer

A) True 
 B)False

Question 9

The number of customers at Winkies Donuts between 8:00a.m.and 9:00a.m.is believed to follow a Poisson distribution with a mean of 2 customers per minute.
a.During a randomly selected one minute interval during this time period, what is the probability of 6 customers arriving to Winkies?
b.What is the probability that at least 2 minutes elapse between customer arrivals?

Accepted Answer

The answer of The number of customers at Winkies Donuts...

Question 10

A probability density function

Accepted Answer

A) gives the probability that the random variable equals a specific value of x. 
B) is used for discrete random variables. 
C) describes the graph whose underlying area represents probability over an interval. 
D) each of these choices are true. 
A) gives the probability that the random variable equals a specific value of x. 
B) is used for discrete random variables. 
C) describes the graph whose underlying area represents probability over an interval. 
D) each of these choices are true.

Question 11

The probability of a continuous variable having a specific value is 0.

Accepted Answer

A) True 
 B)False

Question 12

A light bulb manufacturer claims his light bulbs will last 500 hours on the average.The lifetime of a light bulb is assumed to follow an exponential distribution.
a.What is the probability that the light bulb will have to replaced within 500 hours?
b.What is the probability that the light bulb will last more than 1000 hours?
c.What is the probability that the light bulb will last between 200 and 800 hours?

Accepted Answer

a..632
b..

Question 13

A numerical description of the outcome of an experiment is

Accepted Answer

A) a normal variable. 
B) a discrete variable. 
C) a random variable. 
D) an experimental variable. 
A) a normal variable. 
B) a discrete variable. 
C) a random variable. 
D) an experimental variable.

Question 14

Consider a Poisson probability distribution in a manufacturing process with an average of 3 flaws every 100 feet.Find the probability of
a.no flaws in 100 feet
b.2 flaws in 100 feet
c.1 flaws in 150 feet
d.3 or 4 flaws in 150 feet

Accepted Answer

a..0498
b.

Question 15

When the exponential distribution probability is given as P(x F1F1F1S1F1F1F10 9 )= 1 F1F1F1S1F1F1F10 eF1F1F1S1F1F1F109/18  the average value for x is

Accepted Answer

A) 18 
B) 9 
C) 9/18 
D) 1/2 
A) 18 
B) 9 
C) 9/18 
D) 1/2

Question 16

Experiments with repeated independent trials will be described by the binomial distribution if

Accepted Answer

A) the trials are continuous. 
B) each trial result influences the next. 
C) the time between trials is constant. 
D) each trial has exactly two outcomes whose probabilities do not change. 
A) the trials are continuous. 
B) each trial result influences the next. 
C) the time between trials is constant. 
D) each trial has exactly two outcomes whose probabilities do not change.

Question 17

z is a standard normal random variable.The P(z F1F1F1S1F1F1F10 2.11)equals

Accepted Answer

A) 0.4821 
B) 0.9821 
C) 0.5 
D) 0.0174 
A) 0.4821 
B) 0.9821 
C) 0.5 
D) 0.0174

Question 18

Customers at a popular restaurant that refuses reservations arrive according to the Poisson distribution at a rate of 4 parties every 5 minutes.What is the probability that there will be more than 2 minutes between arriving parties?

Accepted Answer

The answer of Customers at a popular restaurant that refuses...

Question 19

Explain the transformation from any normal distribution to the standard normal.

Accepted Answer

The transformation from any normal distr

Question 20

The expected value for a binomial probability distribution is

Accepted Answer

A) E(x) F1F1F1S1F1F1F10 np 
B) E(x) F1F1F1S1F1F1F10 p(1 F1F1F1S1F1F1F10 p) 
C) E(x) F1F1F1S1F1F1F10 np(1 F1F1F1S1F1F1F10 p) 
D) E(x) F1F1F1S1F1F1F10 np(1 F1F1F1S1F1F1F10 n) 
A) E(x) F1F1F1S1F1F1F10 np 
B) E(x) F1F1F1S1F1F1F10 p(1 F1F1F1S1F1F1F10 p) 
C) E(x) F1F1F1S1F1F1F10 np(1 F1F1F1S1F1F1F10 p) 
D) E(x) F1F1F1S1F1F1F10 np(1 F1F1F1S1F1F1F10 n)

A random variable that can take on any value along a line segment is a continuous random variable.

The uniform distribution defined over the interval from 25 to 40 has the probability density function

When dealing with the number of occurrences of an event over a specified interval of time or space and when the occurrence or nonoccurrence in any interval is independent of the occurrence or nonoccurrence in any other interval,the appropriate probability distribution is a

Probabilities for discrete random variables are defined over intervals by a probability density function.

Whenever the probability is proportional to the length of the interval,the random variable is uniformly distributed.

Larger values of the standard deviation result in a normal curve that is

An exponential distribution,like the Poisson distribution,can be described by a single parameter.

If one wanted to find the probability of ten customer arrivals in an hour at a service station,one would generally use the Poisson distribution.

A probability density function

The probability of a continuous variable having a specific value is 0.

A numerical description of the outcome of an experiment is

Consider a Poisson probability distribution in a manufacturing process with an average of 3 flaws every 100 feet.Find the probability of a.no flaws in 100 feet b.2 flaws in 100 feet c.1 flaws in 150 feet d.3 or 4 flaws in 150 feet

When the exponential distribution probability is given as P(x  9 )= 1  e^^9/18 the average value for x is

Experiments with repeated independent trials will be described by the binomial distribution if

z is a standard normal random variable.The P(z  2.11)equals

Customers at a popular restaurant that refuses reservations arrive according to the Poisson distribution at a rate of 4 parties every 5 minutes.What is the probability that there will be more than 2 minutes between arriving parties?

Explain the transformation from any normal distribution to the standard normal.

The expected value for a binomial probability distribution is

Introduction

Introduction to Probability

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 3: Probability Distributions

A random variable that can take on any value along a line segment is a continuous random variable.

The uniform distribution defined over the interval from 25 to 40 has the probability density function

When dealing with the number of occurrences of an event over a specified interval of time or space and when the occurrence or nonoccurrence in any interval is independent of the occurrence or nonoccurrence in any other interval,the appropriate probability distribution is a

Probabilities for discrete random variables are defined over intervals by a probability density function.

Whenever the probability is proportional to the length of the interval,the random variable is uniformly distributed.

Larger values of the standard deviation result in a normal curve that is

An exponential distribution,like the Poisson distribution,can be described by a single parameter.

If one wanted to find the probability of ten customer arrivals in an hour at a service station,one would generally use the Poisson distribution.

A probability density function

The probability of a continuous variable having a specific value is 0.

A numerical description of the outcome of an experiment is

Consider a Poisson probability distribution in a manufacturing process with an average of 3 flaws every 100 feet.Find the probability of a.no flaws in 100 feet b.2 flaws in 100 feet c.1 flaws in 150 feet d.3 or 4 flaws in 150 feet

When the exponential distribution probability is given as P(x  9 )= 1  e9/18 the average value for x is

Experiments with repeated independent trials will be described by the binomial distribution if

z is a standard normal random variable.The P(z  2.11)equals

Customers at a popular restaurant that refuses reservations arrive according to the Poisson distribution at a rate of 4 parties every 5 minutes.What is the probability that there will be more than 2 minutes between arriving parties?

Explain the transformation from any normal distribution to the standard normal.

The expected value for a binomial probability distribution is

Introduction

Introduction to Probability

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

When the exponential distribution probability is given as P(x  9 )= 1  e^^9/18 the average value for x is