Data Analysis And Decision Making 4th Edition By S. Christian Albright – Test Bank


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



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

 

MULTIPLE CHOICE

 


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

a.

the less likely the value x

c.

the less likely the distribution is normal

b.

the more likely the value x

d.

None of the above

 

 

ANS:  B                    PTS:   1



MSC:  AACSB: Analytic | AACSB: Probability Distributions

 


  1. Tossing a coin is an example of a (n)

a.

binomial distribution

c.

exponential distribution

b.

normal distribution

d.

Poisson distribution

 

 

ANS:  A                    PTS:   1



MSC:  AACSB: Analytic | AACSB: Probability Distributions

 


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

a.

probabilistically independent

c.

identical from trial to trial

b.

probabilistically dependent

d.

random number between 0 and 1

 

 

ANS:  A                    PTS:   1



MSC:  AACSB: Analytic | AACSB: Probability Distributions

 


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

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

 

 

ANS:  B                    PTS:   1



MSC:  AACSB: Analytic | AACSB: Probability Distributions

 


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

a.

equal to the mean

c.

to the right of the mean

b.

to the left of the mean

d.

None of the above

 

 

ANS:  C                    PTS:   1



MSC:  AACSB: Analytic | AACSB: Probability Distributions

 


  1. The normal distribution is:

a.

a discrete distribution with two parameters

b.

a binomial distribution with only one parameter

c.

a density function of a discrete random variable

d.

a continuous distribution with two parameters

 

 

ANS:  D                    PTS:   1



MSC:  AACSB: Analytic | AACSB: Probability Distributions

 


  1. The standard deviation  of a probability distribution is a:

a.

measure of variability of the distribution

c.

measure of relative likelihood

b.

measure of central location

d.

measure of skewness of the distribution

 

 

ANS:  A                    PTS:   1



MSC:  AACSB: Analytic | AACSB: Probability Distributions

 


  1. The mean  of a probability distribution is a:

a.

measure of variability of the distribution

c.

measure of relative likelihood

b.

measure of central location

d.

measure of skewness of the distribution

 

 

ANS:  B                    PTS:   1



MSC:  AACSB: Analytic | AACSB: Probability Distributions

 


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

a.

-1

c.

1

b.

0

d.

100

 

 

ANS:  C                    PTS:   1



MSC:  AACSB: Analytic | AACSB: Probability Distributions

 


  1. A continuous probability distribution is characterized by:

a.

a list of possible values

c.

an array of individual values

b.

counts

d.

a continuum of possible values

 

 

ANS:  D                    PTS:   1



MSC:  AACSB: Analytic | AACSB: Probability Distributions

 


  1. Which of the following equations shows the process of standardizing?

a.




c.




b.




d.




 

 

ANS:  B                    PTS:   1



MSC:  AACSB: Analytic | AACSB: Probability Distributions

 


  1. A Poisson distribution is:

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 the above

 

 

ANS:  C                    PTS:   1



MSC:  AACSB: Analytic | AACSB: Probability Distributions

 


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

a.

0 and 0

c.

1 and 0

b.

1 and 1

d.

0 and 1

 

 

ANS:  D                    PTS:   1



MSC:  AACSB: Analytic | AACSB: Probability Distributions

 


  1. Sampling done without replacement means that

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

 

 

ANS:  C                    PTS:   1



MSC:  AACSB: Analytic | AACSB: Probability Distributions

 


  1. The Poisson random variable is a:

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

 

 

ANS:  A                    PTS:   1



MSC:  AACSB: Analytic | AACSB: Probability Distributions

 


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

a.

Binomial distribution

c.

Any discrete probability distribution

b.

Poisson distribution

d.

Any continuous probability distribution

 

 

ANS:  B                    PTS:   1



MSC:  AACSB: Analytic | AACSB: Probability Distributions

 


  1. Which of the following might not be appropriately modeled with a normal distribution?

a.

The daily low temperature in Anchorage, Alaska

b.

The returns on a stock

c.

The daily change in inventory at a computer manufacturer

d.

The salaries of employees at a large company

 

 

ANS:  D                    PTS:   1



MSC:  AACSB: Analytic | AACSB: Probability Distributions

 


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

a.

100

c.

20

b.

80

d.

16

 

 

ANS:  D                    PTS:   1



MSC:  AACSB: Analytic | AACSB: Probability Distributions

 


  1. The binomial probability distribution is used with

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

 

 

ANS:  A                    PTS:   1



MSC:  AACSB: Analytic | AACSB: Probability Distributions

 


  1. Given that Z is a standard normal random variable, P(-1.0Z1.5) is

a.

0.7745

c.

0.0919

b.

0.8413

d.

0.9332

 

 

ANS:  A                    PTS:   1



MSC:  AACSB: Analytic | AACSB: Probability Distributions

 


  1. Given that Z is a standard normal variable, the value z for which P(Z  z) = 0.2580 is

a.

0.70

c.

-0.65

b.

0.758

d.

0.242

 

 

ANS:  C                    PTS:   1



MSC:  AACSB: Analytic | AACSB: Probability Distributions

 


  1. If the random variable is exponentially distributed with parameter = 3, then P(X  2) , up to 4 decimal places , is

a.

0.3333

c.

0.6667

b.

0.5000

d.

0.0025

 

 

ANS:  D                    PTS:   1



MSC:  AACSB: Analytic | AACSB: Probability Distributions

 


  1. If the random variable X is exponentially distributed with parameter = 1.5, then P(2X  4), up to 4 decimal places, is

a.

0.6667

c.

0.5000

b.

0.0473

d.

0.2500

 

 

ANS:  B                    PTS:   1



MSC:  AACSB: Analytic | AACSB: Probability Distributions

 


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

a.

10

c.

30

b.

13

d.

90

 

 

ANS:  C                    PTS:   1



MSC:  AACSB: Analytic | AACSB: Probability Distributions

 


  1. Given that the random variable X is normally distributed with a mean of 80 and a standard deviation of 10, P(85 X 90) is

a.

0.5328

c.

0.1915

b.

0.3413

d.

0.1498

 

 

ANS:  D                    PTS:   1



MSC:  AACSB: Analytic | AACSB: Probability Distributions

 


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

a.

Inventory models

c.

Failure analysis models

b.

Financial models

d.

All of these options

 

 

ANS:  A                    PTS:   1



MSC:  AACSB: Analytic | AACSB: Probability Distributions

 


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

a.

Uniform

c.

Exponential

b.

Normal

d.

Poisson

 

 

ANS:  C                    PTS:   1



MSC:  AACSB: Analytic | AACSB: Probability Distributions

 


  1. If the mean of an exponential distribution is 2, then the value of the parameter  is

a.

4

c.

1

b.

2

d.

0.5

 

 

ANS:  D                    PTS:   1



MSC:  AACSB: Analytic | AACSB: Probability Distributions

 


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