Question 1

Given that Z is a standard normal variable,the value z for which P(Z $\leq$ Z)= 0.2580 is

Accepted Answer

A)  0.70 
B)  0.758 
C)  -0.65 
D)  0.242 
A)  0.70 
B)  0.758 
C)  -0.65 
D)  0.242 C

Question 2

The binomial random variable represents the number of successes that occur in a specific period of time.

Accepted Answer

A) True 
 B)False  False

Question 3

The standard normal distribution has a mean and a standard deviation respectively equal to

Accepted Answer

A)  0 and 0 
B)  1 and 1 
C)  1 and 0 
D)  0 and 1 
A)  0 and 0 
B)  1 and 1 
C)  1 and 0 
D)  0 and 1 D

Question 4

If the random variable X is exponentially distributed with parameter $\lambda$= 3,then P(X $\geq$ 2),up to 4 decimal places ,is

Accepted Answer

A)  0.3333 
B)  0.5000 
C)  0.6667 
D)  0.0025 
A)  0.3333 
B)  0.5000 
C)  0.6667 
D)  0.0025

Question 5

Which of the following equations shows the process of standardizing?

Accepted Answer

A) 
$E ( X ) = n p$ 
B) 
$Z = ( X - \mu \mid \sigma )$ 
C) 
$f ( X ) = 1 - \sigma ( \mu )$ 
D) 
$E ( Y ) = \mu$ 
A) 
$E ( X ) = n p$ 
B) 
$Z = ( X - \mu \mid \sigma )$ 
C) 
$f ( X ) = 1 - \sigma ( \mu )$ 
D) 
$E ( Y ) = \mu$

Question 6

The total area under the normal distribution curve is equal to one.

Accepted Answer

A) True 
 B)False

Question 7

Sampling done without replacement means that

Accepted Answer

A)  only certain members of the population can be sampled 
B)  each member of the population can be sampled repeatedly 
C)  each member of the population can be sampled only once 
D)  each member of the population can be sampled twice 
A)  only certain members of the population can be sampled 
B)  each member of the population can be sampled repeatedly 
C)  each member of the population can be sampled only once 
D)  each member of the population can be sampled twice

Question 8

The variance of a binomial distribution for which n = 100 and p = 0.20 is:

Accepted Answer

A)  100 
B)  80 
C)  20 
D)  16 
A)  100 
B)  80 
C)  20 
D)  16

Question 9

Much of the study of probabilistic inventory models,queuing models,and reliability models relies heavily on the Poisson and Exponential distributions.

Accepted Answer

A) True 
 B)False

Question 10

Using the standard normal curve,the Z- score representing the 10th percentile is 1.28.

Accepted Answer

A) True 
 B)False

Question 11

One reason for standardizing random variables is to measure variables with:

Accepted Answer

A)  different means and standard deviations on a non-standard scale 
B)  different means and standard deviations on a single scale 
C)  dissimilar means and standard deviations in like terms 
D)  similar means and standard deviations on two scales 
A)  different means and standard deviations on a non-standard scale 
B)  different means and standard deviations on a single scale 
C)  dissimilar means and standard deviations in like terms 
D)  similar means and standard deviations on two scales

Question 12

The binomial probability distribution is used with

Accepted Answer

A)  a discrete random variable 
B)  a continuous random variable 
C)  either a discrete or a continuous random variable,depending on the variance 
D)  either a discrete or a continuous random variable,depending on the sample size 
A)  a discrete random variable 
B)  a continuous random variable 
C)  either a discrete or a continuous random variable,depending on the variance 
D)  either a discrete or a continuous random variable,depending on the sample size

Question 13

The mean and standard deviation of a normally distributed random variable which has been "standardized" are zero and one,respectively.

Accepted Answer

A) True 
 B)False

Question 14

The higher the value of the density function f(x),

Accepted Answer

A)  the less likely the value x 
B)  the more likely the value x 
C)  the less likely the distribution is normal 
D)  None of these choices 
A)  the less likely the value x 
B)  the more likely the value x 
C)  the less likely the distribution is normal 
D)  None of these choices

Question 15

The variance of a binomial distribution for which n = 50 and p = 0.20 is 8.0.

Accepted Answer

A) True 
 B)False

Question 16

If we plot a continuous probability distribution f(x),the total probability under the curve is

Accepted Answer

A)  -1 
B)  0 
C)  1 
D)  100
Suppose that the number of customers arriving each hour at the only checkout counter at a local convenience store is approximately Poisson distributed with an expected arrival rate of 30 customers per hour.Let X represent the number of customers arriving per hour.The probabilities associated with X are shown below.
P(X < 5)= 0.0000,P(X < 10)= 0.0000,P(X < 15)= 0.0009,
P(X < 20)= 0.0219,P(X < 25)= 0.1572,P(X < 30)= 0.4757
P(X = 30)= 0.0726,P(X = 31)= 0.0703,P(X = 32)= 0.0659,
P(X = 33)= 0.0599,P(X = 34)= 0.0529,P(X = 35)= 0.0453 
A)  -1 
B)  0 
C)  1 
D)  100
Suppose that the number of customers arriving each hour at the only checkout counter at a local convenience store is approximately Poisson distributed with an expected arrival rate of 30 customers per hour.Let X represent the number of customers arriving per hour.The probabilities associated with X are shown below.
P(X < 5)= 0.0000,P(X < 10)= 0.0000,P(X < 15)= 0.0009,
P(X < 20)= 0.0219,P(X < 25)= 0.1572,P(X < 30)= 0.4757
P(X = 30)= 0.0726,P(X = 31)= 0.0703,P(X = 32)= 0.0659,
P(X = 33)= 0.0599,P(X = 34)= 0.0529,P(X = 35)= 0.0453

Question 17

Poisson distribution is appropriate to determine the probability of a given number of defective items in a shipment.

Accepted Answer

A) True 
 B)False

Question 18

The variance of a binomial distribution is given by the formula $\sigma ^ { 2 } = n p ( 1 - p )$ 
,where n is the number of trials,and p is the probability of success in any trial.

Accepted Answer

A) True 
 B)False

Question 19

If X is a normal random variable with a standard deviation of 10,then 3X has a standard deviation equal to

Accepted Answer

A)  10 
B)  13 
C)  30 
D)  90 
A)  10 
B)  13 
C)  30 
D)  90

Question 20

A Poisson distribution is:

Accepted Answer

A)  relevant when we sample from a population with only two types of members. 
B)  relevant when we perform a series of independent,identical experiments with only two possible outcomes. 
C)  usually relevant when we are interested in the number of events that occur over a given interval of time 
D)  the cornerstone of statistical theory 
E)  All of these choices 
A)  relevant when we sample from a population with only two types of members. 
B)  relevant when we perform a series of independent,identical experiments with only two possible outcomes. 
C)  usually relevant when we are interested in the number of events that occur over a given interval of time 
D)  the cornerstone of statistical theory 
E)  All of these choices

Given that Z is a standard normal variable,the value z for which P(Z $\leq$ Z)= 0.2580 is

The binomial random variable represents the number of successes that occur in a specific period of time.

The standard normal distribution has a mean and a standard deviation respectively equal to

If the random variable X is exponentially distributed with parameter $\lambda$ = 3,then P(X $\geq$ 2),up to 4 decimal places ,is

Which of the following equations shows the process of standardizing?

The total area under the normal distribution curve is equal to one.

Sampling done without replacement means that

The variance of a binomial distribution for which n = 100 and p = 0.20 is:

Much of the study of probabilistic inventory models,queuing models,and reliability models relies heavily on the Poisson and Exponential distributions.

Using the standard normal curve,the Z- score representing the 10th percentile is 1.28.

One reason for standardizing random variables is to measure variables with:

The binomial probability distribution is used with

The mean and standard deviation of a normally distributed random variable which has been "standardized" are zero and one,respectively.

The higher the value of the density function f(x),

The variance of a binomial distribution for which n = 50 and p = 0.20 is 8.0.

If we plot a continuous probability distribution f(x),the total probability under the curve is

Poisson distribution is appropriate to determine the probability of a given number of defective items in a shipment.

The variance of a binomial distribution is given by the formula $\sigma ^ { 2 } = n p ( 1 - p )$ ,where n is the number of trials,and p is the probability of success in any trial.

If X is a normal random variable with a standard deviation of 10,then 3X has a standard deviation equal to

A Poisson distribution is:

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

Given that Z is a standard normal variable,the value z for which P(Z ≤\leq≤ Z)= 0.2580 is

The binomial random variable represents the number of successes that occur in a specific period of time.

The standard normal distribution has a mean and a standard deviation respectively equal to

If the random variable X is exponentially distributed with parameter λ\lambdaλ = 3,then P(X ≥\geq≥ 2),up to 4 decimal places ,is

Which of the following equations shows the process of standardizing?

The total area under the normal distribution curve is equal to one.

Sampling done without replacement means that

The variance of a binomial distribution for which n = 100 and p = 0.20 is:

Much of the study of probabilistic inventory models,queuing models,and reliability models relies heavily on the Poisson and Exponential distributions.

Using the standard normal curve,the Z- score representing the 10th percentile is 1.28.

One reason for standardizing random variables is to measure variables with:

The binomial probability distribution is used with

The mean and standard deviation of a normally distributed random variable which has been "standardized" are zero and one,respectively.

The higher the value of the density function f(x),

The variance of a binomial distribution for which n = 50 and p = 0.20 is 8.0.

If we plot a continuous probability distribution f(x),the total probability under the curve is

Poisson distribution is appropriate to determine the probability of a given number of defective items in a shipment.

The variance of a binomial distribution is given by the formula σ2=np(1−p)\sigma ^ { 2 } = n p ( 1 - p )σ2=np(1−p) ,where n is the number of trials,and p is the probability of success in any trial.

If X is a normal random variable with a standard deviation of 10,then 3X has a standard deviation equal to

A Poisson distribution is:

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

Given that Z is a standard normal variable,the value z for which P(Z $\leq$ Z)= 0.2580 is

If the random variable X is exponentially distributed with parameter $\lambda$ = 3,then P(X $\geq$ 2),up to 4 decimal places ,is

The variance of a binomial distribution is given by the formula $\sigma ^ { 2 } = n p ( 1 - p )$ ,where n is the number of trials,and p is the probability of success in any trial.