Question 1

The binomial probability distribution is most symmetric when p equals .5.

Accepted Answer

A) True 
 B)False

Question 2

Experimental outcomes that are based on measurement scales such as time,weight,and distance can be described by _____ random variables.​

Accepted Answer

A) ​discrete 
B) ​continuous 
C) ​uniform 
D) ​intermittent 
A) ​discrete 
B) ​continuous 
C) ​uniform 
D) ​intermittent

Question 3

The time it takes to travel from home to the office is normally distributed with μ = 25 minutes and σ = 5 minutes.
a.What is the probability the trip takes more than 20 minutes?
b.What is the probability the trip takes less than 15 minutes.
c.What is the probability the trip takes between 30 and 35 minutes?
d.What is the probability the trip takes more than 40 minutes?

Accepted Answer

The answer of The time it takes to travel from...

Question 4

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

The answer of Consider a Poisson probability distribution in a...

Question 5

A random variable that may assume only a finite or an infinite sequence (e.g. ,1,2,3,... )of values is a discrete random variable.

Accepted Answer

A) True 
 B)False

Question 6

A probability distribution showing the probability of x successes in n trials,where the probability of success does not change from trial to trial,is termed a

Accepted Answer

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

Question 7

In order to measure the dispersion of a random variable,look at its

Accepted Answer

A) standard deviation. 
B) mean. 
C) expected value. 
D) average. 
A) standard deviation. 
B) mean. 
C) expected value. 
D) average.

Question 8

During lunch time,customers arrive at Bob's Drugs according to a Poisson distribution with λ = 4 per minute.
a.During a one-minute interval,determine the following probabilities: (1)no arrivals; (2)one arrival; (3)two arrivals;and, (4)three or more arrivals.
b.What is the probability of two arrivals in a two-minute period?
c.What is the probability that no more than 30 seconds elapses between arrivals?

Accepted Answer

The answer of During lunch time,customers arrive at Bob's Drugs...

Question 9

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

Question 10

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

Accepted Answer

A) normally distributed 
B) binomially distributed 
C) uniformly distributed 
D) exponentially distributed 
A) normally distributed 
B) binomially distributed 
C) uniformly distributed 
D) exponentially distributed

Question 11

The expected value for a binomial probability distribution is

Accepted Answer

A) E(x)= np 
B) E(x)= p(1 − p) 
C) E(x)= np(1 − p) 
D) E(x)= np(1 − n) 
A) E(x)= np 
B) E(x)= p(1 − p) 
C) E(x)= np(1 − p) 
D) E(x)= np(1 − n)

Question 12

The weight of an object,measured to the nearest gram,is an example of

Accepted Answer

A) a continuous random variable 
B) a discrete random variable 
C) either a continuous or a discrete random variable,depending on the weight of the object 
D) either a continuous or a discrete random variable depending on the units of measurement 
A) a continuous random variable 
B) a discrete random variable 
C) either a continuous or a discrete random variable,depending on the weight of the object 
D) either a continuous or a discrete random variable depending on the units of measurement

Question 13

If you are conducting an experiment where the probability of a success is .02 and you are interested in the probability of 4 successes in 15 trials,the correct probability function to use is the

Accepted Answer

A) ​standard normal probability density function 
B) ​normal probability density function 
C) ​Poisson probability function 
D) ​binomial probability function 
A) ​standard normal probability density function 
B) ​normal probability density function 
C) ​Poisson probability function 
D) ​binomial probability function

Question 14

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

Accepted Answer

A) True 
 B)False

Question 15

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

The answer of A light bulb manufacturer claims his light...

Question 16

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

Accepted Answer

A) binomial probability distribution 
B) Poisson probability distribution 
C) hypergeometric probability distribution 
D) exponential probability distribution 
A) binomial probability distribution 
B) Poisson probability distribution 
C) hypergeometric probability distribution 
D) exponential probability distribution

Question 17

If you are conducting an experiment where the probability of a success is .02 and you are interested in the probability of 4 successes in 15 trials,the correct probability function to use is the

Accepted Answer

A) standard normal probability density function 
B) normal probability density function 
C) Poisson probability function 
D) binomial probability function 
A) standard normal probability density function 
B) normal probability density function 
C) Poisson probability function 
D) binomial probability function

Question 18

Sandy's Pet Center grooms large and small dogs.It takes Sandy 40 minutes to groom a small dog and 70 minutes to groom a large dog.Large dogs account for 20% of Sandy's business.Sandy has 5 appointments tomorrow.
a.What is the probability that all 5 appointments tomorrow are for small dogs?
b.What is the probability that two of the appointments tomorrow are for large dogs?
c.What is the expected amount of time to finish all five dogs tomorrow?

Accepted Answer

a..3277
b.

Question 19

​Variance is

Accepted Answer

A) ​a measure of the average,or central value of a random variable 
B) ​a measure of the dispersion of a random variable 
C) ​the square root of the standard deviation 
D) ​the sum of the deviation of data elements from the mean 
A) ​a measure of the average,or central value of a random variable 
B) ​a measure of the dispersion of a random variable 
C) ​the square root of the standard deviation 
D) ​the sum of the deviation of data elements from the mean

Question 20

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

Accepted Answer

A) True 
 B)False

The binomial probability distribution is most symmetric when p equals .5.

Experimental outcomes that are based on measurement scales such as time,weight,and distance can be described by _____ random variables.

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

A random variable that may assume only a finite or an infinite sequence (e.g. ,1,2,3,... )of values is a discrete random variable.

A probability distribution showing the probability of x successes in n trials,where the probability of success does not change from trial to trial,is termed a

In order to measure the dispersion of a random variable,look at its

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

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

The expected value for a binomial probability distribution is

The weight of an object,measured to the nearest gram,is an example of

If you are conducting an experiment where the probability of a success is .02 and you are interested in the probability of 4 successes in 15 trials,the correct probability function to use is the

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

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

If you are conducting an experiment where the probability of a success is .02 and you are interested in the probability of 4 successes in 15 trials,the correct probability function to use is the

Variance is

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

Introduction

Introduction to Probability

Decision Analysis

Utility Game Theory

Time Series Analysis Forecasting

Intro to Linear Programming

LP Sensitivity Analysis

LP Applications

Distribution Network Models

Integer Linear Programming

Advanced Optimization Applications

Project Scheduling

Inventory Models

Waiting Line Models

Simulation

Markov Processes

Filters

Exam 3: Probability Distributions

The binomial probability distribution is most symmetric when p equals .5.

Experimental outcomes that are based on measurement scales such as time,weight,and distance can be described by _____ random variables.​

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

A random variable that may assume only a finite or an infinite sequence (e.g. ,1,2,3,... )of values is a discrete random variable.

A probability distribution showing the probability of x successes in n trials,where the probability of success does not change from trial to trial,is termed a

In order to measure the dispersion of a random variable,look at its

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

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

The expected value for a binomial probability distribution is

The weight of an object,measured to the nearest gram,is an example of

If you are conducting an experiment where the probability of a success is .02 and you are interested in the probability of 4 successes in 15 trials,the correct probability function to use is the

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

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

If you are conducting an experiment where the probability of a success is .02 and you are interested in the probability of 4 successes in 15 trials,the correct probability function to use is the

​Variance is

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

Introduction

Introduction to Probability

Decision Analysis

Utility Game Theory

Time Series Analysis Forecasting

Intro to Linear Programming

LP Sensitivity Analysis

LP Applications

Distribution Network Models

Integer Linear Programming

Advanced Optimization Applications

Project Scheduling

Inventory Models

Waiting Line Models

Simulation

Markov Processes

Filters

Experimental outcomes that are based on measurement scales such as time,weight,and distance can be described by _____ random variables.

Variance is