Question 1

Using the standard normal distribution,the Z-score representing the 5th percentile is 1.645.

Accepted Answer

A) True 
 B)False

Question 2

An exponential distribution with parameter $\lambda$ = 0.2 has mean and standard deviation both equal to 5.

Accepted Answer

A) True 
 B)False

Question 3

The mean $\mu$
Of a probability distribution is a:

Accepted Answer

A)  measure of variability of the distribution 
B)  measure of central location 
C)  measure of relative likelihood 
D)  measure of skewness of the distribution 
A)  measure of variability of the distribution 
B)  measure of central location 
C)  measure of relative likelihood 
D)  measure of skewness of the distribution

Question 4

A random variable X is normally distributed with a mean of 175 and a standard deviation of 50.Given that X = 150,its corresponding Z- score is -0.50.

Accepted Answer

A) True 
 B)False

Question 5

Which probability distribution applies to the number of events occurring within a specified period of time or space

Accepted Answer

A)  Binomial distribution 
B)  Poisson distribution 
C)  Any discrete probability distribution 
D)  Any continuous probability distribution 
A)  Binomial distribution 
B)  Poisson distribution 
C)  Any discrete probability distribution 
D)  Any continuous probability distribution

Question 6

If the value of the standard normal random variable Z is positive,then the original score is where in relationship to the mean?

Accepted Answer

A)  equal to the mean 
B)  to the left of the mean 
C)  to the right of the mean 
D)  None of the these choices 
A)  equal to the mean 
B)  to the left of the mean 
C)  to the right of the mean 
D)  None of the these choices

Question 7

If the mean of an exponential distribution is 2,then the value of the parameter $\lambda$
Is

Accepted Answer

A)  4 
B)  2 
C)  1 
D)  0.5 
A)  4 
B)  2 
C)  1 
D)  0.5

Question 8

The Poisson random variable is a:

Accepted Answer

A)  discrete random variable with infinitely many possible values 
B)  discrete random variable with finite number of possible values 
C)  continuous random variable with infinitely many possible values 
D)  continuous random variable with finite number of possible values 
A)  discrete random variable with infinitely many possible values 
B)  discrete random variable with finite number of possible values 
C)  continuous random variable with infinitely many possible values 
D)  continuous random variable with finite number of possible values

Question 9

The Poisson and Exponential distributions are commonly used in which of the following applications

Accepted Answer

A)  Inventory models 
B)  Financial models 
C)  Failure analysis models 
D)  All of these options 
A)  Inventory models 
B)  Financial models 
C)  Failure analysis models 
D)  All of these options

Question 10

For a given probability of success p that is not too close to 0 or 1,the binomial distribution tends to take on more of a symmetric bell shape as the number of trials n increases.

Accepted Answer

A) True 
 B)False

Question 11

A binomial distribution with n number of trials,and probability of success p can be approximated well by a normal distribution with mean np and variance $\sigma ^ { 2 } = n p ( 1 - p ) \text { if } n p > 5 \text { and } n ( 1 - p ) > 5$

Accepted Answer

A) True 
 B)False

Question 12

We assume that the outcomes of successive trials in a binomial experiment are:

Accepted Answer

A)  probabilistically independent 
B)  probabilistically dependent 
C)  identical from trial to trial 
D)  random number between 0 and 1 
A)  probabilistically independent 
B)  probabilistically dependent 
C)  identical from trial to trial 
D)  random number between 0 and 1

Question 13

The Poisson distribution is characterized by a single parameter $\lambda$,which must be positive.

Accepted Answer

A) True 
 B)False

Question 14

Tossing a coin is an example of a (n)

Accepted Answer

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

Question 15

What is the variance of the time it takes a technician to fix a computer problem?
A continuous random variable X has the probability density function: f(x)= 2 $e ^ { - 2 x }$ ,$x \geq$ 0

Accepted Answer

The answer of What is the variance of the time...

Question 16

Which of the following distributions is appropriate to measure the length of time between arrivals at a grocery checkout counter?

Accepted Answer

A)  Uniform 
B)  Normal 
C)  Exponential 
D)  Poisson 
A)  Uniform 
B)  Normal 
C)  Exponential 
D)  Poisson

Question 17

What type of probability distribution will most likely be used to analyze warranty repair needs on new microwaves in this situation?
A used car salesman in a small town states that,on the average,it takes him 5 days to sell a car.Assume that the probability distribution of the length of time between sales is exponentially distributed.

Accepted Answer

Binomial d

Question 18

If the random variable X is exponentially distributed with parameter $\lambda$= 1)5,then P(2 $\leq$ X $\leq$4),up to 4 decimal places,is

Accepted Answer

A)  0.6667 
B)  0.0473 
C)  0.5000 
D)  0.2500 
A)  0.6667 
B)  0.0473 
C)  0.5000 
D)  0.2500

Question 19

Given that Z is a standard normal random variable,P(-1.0 $\leq$Z $\leq$ 1.5)is

Accepted Answer

A)  0.7745 
B)  0.8413 
C)  0.0919 
D)  0.9332 
A)  0.7745 
B)  0.8413 
C)  0.0919 
D)  0.9332

Question 20

The binomial distribution is a continuous distribution that is not far behind the normal distribution in order of importance.

Accepted Answer

A) True 
 B)False

Using the standard normal distribution,the Z-score representing the 5th percentile is 1.645.

An exponential distribution with parameter $\lambda$ = 0.2 has mean and standard deviation both equal to 5.

The mean $\mu$ Of a probability distribution is a:

A random variable X is normally distributed with a mean of 175 and a standard deviation of 50.Given that X = 150,its corresponding Z- score is -0.50.

Which probability distribution applies to the number of events occurring within a specified period of time or space

If the value of the standard normal random variable Z is positive,then the original score is where in relationship to the mean?

If the mean of an exponential distribution is 2,then the value of the parameter $\lambda$ Is

The Poisson random variable is a:

The Poisson and Exponential distributions are commonly used in which of the following applications

For a given probability of success p that is not too close to 0 or 1,the binomial distribution tends to take on more of a symmetric bell shape as the number of trials n increases.

A binomial distribution with n number of trials,and probability of success p can be approximated well by a normal distribution with mean np and variance $\sigma ^ { 2 } = n p ( 1 - p ) \text { if } n p > 5 \text { and } n ( 1 - p ) > 5$

We assume that the outcomes of successive trials in a binomial experiment are:

The Poisson distribution is characterized by a single parameter $\lambda$ ,which must be positive.

Tossing a coin is an example of a (n)

What is the variance of the time it takes a technician to fix a computer problem? A continuous random variable X has the probability density function: f(x)= 2 $e ^ { - 2 x }$ , $x \geq$ 0

Which of the following distributions is appropriate to measure the length of time between arrivals at a grocery checkout counter?

If the random variable X is exponentially distributed with parameter $\lambda$ = 1)5,then P(2 $\leq$ X $\leq$ 4),up to 4 decimal places,is

Given that Z is a standard normal random variable,P(-1.0 $\leq$ Z $\leq$ 1.5)is

The binomial distribution is a continuous distribution that is not far behind the normal distribution in order of importance.

Introduction to Data Analysis and Decision Making

Describing the Distribution of a Single Variable

Finding Relationships Among Variables

Probability and Probability Distributions

Decision Making Under Uncertainty

Sampling and Sampling Distributions

Confidence Interval Estimation

Hypothesis Testing

Regression Analysis: Estimating Relationships

Regression Analysis: Statistical Inference

Time Series Analysis and Forecasting

Introduction to Optimization Modeling

Optimization Models

Introduction to Simulation Modeling

Simulation Models

Data Mining

Importing Data Into Excel

Analysis of Variance and Experimental Design

Statistical Process Control

Filters

Exam 5: Normal, Binomial, Poisson, and Exponential Distributions

Using the standard normal distribution,the Z-score representing the 5th percentile is 1.645.

An exponential distribution with parameter λ\lambdaλ = 0.2 has mean and standard deviation both equal to 5.

The mean μ\muμ Of a probability distribution is a:

A random variable X is normally distributed with a mean of 175 and a standard deviation of 50.Given that X = 150,its corresponding Z- score is -0.50.

Which probability distribution applies to the number of events occurring within a specified period of time or space

If the value of the standard normal random variable Z is positive,then the original score is where in relationship to the mean?

If the mean of an exponential distribution is 2,then the value of the parameter λ\lambdaλ Is

The Poisson random variable is a:

The Poisson and Exponential distributions are commonly used in which of the following applications

For a given probability of success p that is not too close to 0 or 1,the binomial distribution tends to take on more of a symmetric bell shape as the number of trials n increases.

We assume that the outcomes of successive trials in a binomial experiment are:

The Poisson distribution is characterized by a single parameter λ\lambdaλ ,which must be positive.

Tossing a coin is an example of a (n)

What is the variance of the time it takes a technician to fix a computer problem? A continuous random variable X has the probability density function: f(x)= 2 e−2xe ^ { - 2 x }e−2x , x≥x \geqx≥ 0

Which of the following distributions is appropriate to measure the length of time between arrivals at a grocery checkout counter?

If the random variable X is exponentially distributed with parameter λ\lambdaλ = 1)5,then P(2 ≤\leq≤ X ≤\leq≤ 4),up to 4 decimal places,is

Given that Z is a standard normal random variable,P(-1.0 ≤\leq≤ Z ≤\leq≤ 1.5)is

The binomial distribution is a continuous distribution that is not far behind the normal distribution in order of importance.

Introduction to Data Analysis and Decision Making

Describing the Distribution of a Single Variable

Finding Relationships Among Variables

Probability and Probability Distributions

Decision Making Under Uncertainty

Sampling and Sampling Distributions

Confidence Interval Estimation

Hypothesis Testing

Regression Analysis: Estimating Relationships

Regression Analysis: Statistical Inference

Time Series Analysis and Forecasting

Introduction to Optimization Modeling

Optimization Models

Introduction to Simulation Modeling

Simulation Models

Data Mining

Importing Data Into Excel

Analysis of Variance and Experimental Design

Statistical Process Control

Filters

An exponential distribution with parameter $\lambda$ = 0.2 has mean and standard deviation both equal to 5.

The mean $\mu$ Of a probability distribution is a:

If the mean of an exponential distribution is 2,then the value of the parameter $\lambda$ Is

The Poisson distribution is characterized by a single parameter $\lambda$ ,which must be positive.

What is the variance of the time it takes a technician to fix a computer problem? A continuous random variable X has the probability density function: f(x)= 2 $e ^ { - 2 x }$ , $x \geq$ 0

If the random variable X is exponentially distributed with parameter $\lambda$ = 1)5,then P(2 $\leq$ X $\leq$ 4),up to 4 decimal places,is

Given that Z is a standard normal random variable,P(-1.0 $\leq$ Z $\leq$ 1.5)is