Question 1

A statement that matches the values of a random variable with the probabilities of those values is

Accepted Answer

A) the expected value. 
B) the variation of the random variable. 
C) an experiment. 
D) a probability distribution. 
A) the expected value. 
B) the variation of the random variable. 
C) an experiment. 
D) a probability distribution. D

Question 2

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. A

Question 3

A process follows the binomial distribution with n = 8 and p = .3.Find
a.P(x = 3)
b.P(x > 6)
c.P(x $\le$ 2)

Accepted Answer

a.2541
b.0013
c.5518

Question 4

The Poisson probability of three events in one hour is the same as the probability of 36 events in one day.

Accepted Answer

A) True 
 B)False

Question 5

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

Accepted Answer

A) True 
 B)False

Question 6

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

Accepted Answer

A) True 
 B)False

Question 7

After a severe winter,potholes develop in a state highway at the rate of 5.2 per mile.Thirty-five miles of this highway pass through Washington County.
a.How many potholes would you expect to see in the county?
b.What is the probability of finding 8 potholes in 1 mile of highway?

Accepted Answer

a.182
b.P(

Question 8

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

Accepted Answer

A) True 
 B)False

Question 9

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

Accepted Answer

A) True 
 B)False

Question 10

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

Accepted Answer

A) True 
 B)False

Question 11

During lunch time,customers arrive at Bob's Drugs according to a Poisson distribution with $\lambda$ = 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

a.0183,.07

Question 12

Assume that the time required to download a file from the Internet is exponentially distributed with mean equal to 4 minutes.What is the probability that a download will require at least 2 but not more than 4 minutes?

Accepted Answer

The answer of Assume that the time required to download...

Question 13

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

Question 14

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 15

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 16

A calculus instructor uses computer aided instruction and allows students to take the midterm exam as many times as needed until a passing grade is obtained.Following is a record of the number of students in a class of 20 who took the test each number of times.
   
a.Use the relative frequency approach to construct a probability distribution and show that it satisfies the required condition.
b.Find the expected value of the number of tests taken.
c.Compute the variance.
d.Compute the standard deviation.

Accepted Answer

a.Relative frequency Number of

Question 17

A manufacturer of computer disks has a historical defective rate of .001.What is the probability that in a batch of 1000 disks,2 would be defective?

Accepted Answer

The answer of A manufacturer of computer disks has a...

Question 18

If x is normally distributed with mean 12 and standard deviation 2,then P(x $\le$ 9)is

Accepted Answer

A) P(z $\le$ 9/10). 
B) P(z $\le$ -3/2) 
C) P(z $\le$ 2/3) 
D) P(z $\le$ -3/4) 
A) P(z $\le$ 9/10). 
B) P(z $\le$ -3/2) 
C) P(z $\le$ 2/3) 
D) P(z $\le$ -3/4)

Question 19

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 20

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

A statement that matches the values of a random variable with the probabilities of those values is

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

A process follows the binomial distribution with n = 8 and p = .3.Find a.P(x = 3) b.P(x > 6) c.P(x $\le$ 2)

The Poisson probability of three events in one hour is the same as the probability of 36 events in one day.

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

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

After a severe winter,potholes develop in a state highway at the rate of 5.2 per mile.Thirty-five miles of this highway pass through Washington County. a.How many potholes would you expect to see in the county? b.What is the probability of finding 8 potholes in 1 mile of highway?

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

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

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

Assume that the time required to download a file from the Internet is exponentially distributed with mean equal to 4 minutes.What is the probability that a download will require at least 2 but not more than 4 minutes?

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

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

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

A manufacturer of computer disks has a historical defective rate of .001.What is the probability that in a batch of 1000 disks,2 would be defective?

If x is normally distributed with mean 12 and standard deviation 2,then P(x $\le$ 9)is

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.

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

Introduction

Introduction to Probability

Decision Analysis

Utility and Game Theory

Forecasting

Introduction to Linear Programming

Lp Sensitivity Analysis and Interpretation of Solution

Linear Programming Applications

Distribution and Network Problems

Integer Linear Programming

Advanced Optimization Application

Project Scheduling: Pertcpm

Inventory Models

Waiting Line Models

Simulation

Markov Processes

Filters

Exam 3: Probability Distributions

A statement that matches the values of a random variable with the probabilities of those values is

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

A process follows the binomial distribution with n = 8 and p = .3.Find a.P(x = 3) b.P(x > 6) c.P(x ≤\le≤ 2)

The Poisson probability of three events in one hour is the same as the probability of 36 events in one day.

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

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

After a severe winter,potholes develop in a state highway at the rate of 5.2 per mile.Thirty-five miles of this highway pass through Washington County. a.How many potholes would you expect to see in the county? b.What is the probability of finding 8 potholes in 1 mile of highway?

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

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

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

Assume that the time required to download a file from the Internet is exponentially distributed with mean equal to 4 minutes.What is the probability that a download will require at least 2 but not more than 4 minutes?

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

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

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

A manufacturer of computer disks has a historical defective rate of .001.What is the probability that in a batch of 1000 disks,2 would be defective?

If x is normally distributed with mean 12 and standard deviation 2,then P(x ≤\le≤ 9)is

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.

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

Introduction

Introduction to Probability

Decision Analysis

Utility and Game Theory

Forecasting

Introduction to Linear Programming

Lp Sensitivity Analysis and Interpretation of Solution

Linear Programming Applications

Distribution and Network Problems

Integer Linear Programming

Advanced Optimization Application

Project Scheduling: Pertcpm

Inventory Models

Waiting Line Models

Simulation

Markov Processes

Filters

A process follows the binomial distribution with n = 8 and p = .3.Find a.P(x = 3) b.P(x > 6) c.P(x $\le$ 2)

If x is normally distributed with mean 12 and standard deviation 2,then P(x $\le$ 9)is