Question 1

A discrete binomial distribution is skewed right when π > .50.

Accepted Answer

A) True 
 B)False

Question 2

The two outcomes (success, failure) in the Bernoulli model are equally likely.

Accepted Answer

A) True 
 B)False

Question 3

A random variable X is distributed binomially with n = 8 and π = 0.70. The standard deviation of the variable X is approximately:

Accepted Answer

A) 0.458 
B) 2.828 
C) 1.680 
D) 1.296 
A) 0.458 
B) 2.828 
C) 1.680 
D) 1.296

Question 4

The true proportion of accounts receivable with some kind of error is .02 for Venal Enterprises. If an auditor randomly samples 200 accounts receivable, what is the approximate Poisson probability that fewer than two will contain errors?

Accepted Answer

A) .1038 
B) .0916 
C) .1465 
D) .0015 
A) .1038 
B) .0916 
C) .1465 
D) .0015

Question 5

Historically, 2 percent of the stray dogs in Southfield are unlicensed. On a randomly chosen day, the Southfield city animal control officer picks up seven stray dogs. What is the probability that fewer than two will be unlicensed?

Accepted Answer

A) .8681 
B) .9921 
C) .3670 
D) .0076 
A) .8681 
B) .9921 
C) .3670 
D) .0076

Question 6

When π = .70 the discrete binomial distribution is negatively skewed.

Accepted Answer

A) True 
 B)False

Question 7

When you send out a resume, the probability of being called for an interview is .20. What is the probability that the first interview occurs on the fourth resume that you send out?

Accepted Answer

A) .4096 
B) .1024 
C) .2410 
D) .0016 
A) .4096 
B) .1024 
C) .2410 
D) .0016

Question 8

The hypergeometric distribution assumes that the probability of a success remains the same from one trial to the next.

Accepted Answer

A) True 
 B)False

Question 9

A discrete probability distribution:

Accepted Answer

A) is a listing of all possible values of the random variable. 
B) assigns a probability to each possible value of the random variable. 
C) can assume values between -1 and +1. 
D) is independent of the parameters of the distribution. 
A) is a listing of all possible values of the random variable. 
B) assigns a probability to each possible value of the random variable. 
C) can assume values between -1 and +1. 
D) is independent of the parameters of the distribution.

Question 10

The standard deviation of a Poisson random variable is the square root of its mean.

Accepted Answer

A) True 
 B)False

Question 11

Arrival of cars per minute at a toll booth may be characterized by the Poisson distribution if:

Accepted Answer

A) the arrivals are independent. 
B) no more than one arrival can occur in a minute. 
C) there is only one lane leading to the booth. 
D) the mean arrival rate is at least 30. 
A) the arrivals are independent. 
B) no more than one arrival can occur in a minute. 
C) there is only one lane leading to the booth. 
D) the mean arrival rate is at least 30.

Question 12

The hypergeometric distribution is skewed right.

Accepted Answer

A) True 
 B)False

Question 13

An example of a geometric random variable is the number of pine trees with pine beetle infestation in a random sample of 15 pine trees in Colorado.

Accepted Answer

A) True 
 B)False

Question 14

A charity raffle prize is $1,000. The charity sells 4,000 raffle tickets. One winner will be selected at random. At what ticket price would a ticket buyer expect to break even?

Accepted Answer

A) $0.50 
B) $0.25 
C) $0.75 
D) $1.00 
A) $0.50 
B) $0.25 
C) $0.75 
D) $1.00

Question 15

A discrete distribution can be described by its probability density function (PDF) or by its cumulative distribution function (CDF).

Accepted Answer

A) True 
 B)False

Question 16

The variance will reach a maximum in a binomial distribution when:

Accepted Answer

A) π = 1 and 1 - π = 0. 
B) π = ¼ and 1 - π = ¾. 
C) π = ½ and 1 - π = ½. 
D) π = 0 and 1 - π = 1. 
A) π = 1 and 1 - π = 0. 
B) π = ¼ and 1 - π = ¾. 
C) π = ½ and 1 - π = ½. 
D) π = 0 and 1 - π = 1.

Question 17

Which model would you use to describe the probability that a call-center operator will make the first sale on the third call, assuming a constant probability of making a sale?

Accepted Answer

A) Binomial 
B) Poisson 
C) Hypergeometric 
D) Geometric 
A) Binomial 
B) Poisson 
C) Hypergeometric 
D) Geometric

Question 18

Use the binomial model to find the approximate hypergeometric probability of at least two damaged flash drives in a sample of five taken from a shipment of 150 that contains 30 damaged flash drives.

Accepted Answer

A) 0.9421 
B) 0.0579 
C) 0.7373 
D) 0.2627 
A) 0.9421 
B) 0.0579 
C) 0.7373 
D) 0.2627

Question 19

If tubing averages 16 defects per 100 meters, what is the probability of finding exactly 2 defects in a randomly chosen 10-meter piece of tubing?

Accepted Answer

A) .8795 
B) .2674 
C) .3422 
D) .2584 
A) .8795 
B) .2674 
C) .3422 
D) .2584

Question 20

A random variable is a function or rule that assigns a numerical value to each outcome in the sample space of a stochastic (chance) experiment.

Accepted Answer

A) True 
 B)False

A discrete binomial distribution is skewed right when π > .50.

The two outcomes (success, failure) in the Bernoulli model are equally likely.

A random variable X is distributed binomially with n = 8 and π = 0.70. The standard deviation of the variable X is approximately:

The true proportion of accounts receivable with some kind of error is .02 for Venal Enterprises. If an auditor randomly samples 200 accounts receivable, what is the approximate Poisson probability that fewer than two will contain errors?

Historically, 2 percent of the stray dogs in Southfield are unlicensed. On a randomly chosen day, the Southfield city animal control officer picks up seven stray dogs. What is the probability that fewer than two will be unlicensed?

When π = .70 the discrete binomial distribution is negatively skewed.

When you send out a resume, the probability of being called for an interview is .20. What is the probability that the first interview occurs on the fourth resume that you send out?

The hypergeometric distribution assumes that the probability of a success remains the same from one trial to the next.

A discrete probability distribution:

The standard deviation of a Poisson random variable is the square root of its mean.

Arrival of cars per minute at a toll booth may be characterized by the Poisson distribution if:

The hypergeometric distribution is skewed right.

An example of a geometric random variable is the number of pine trees with pine beetle infestation in a random sample of 15 pine trees in Colorado.

A charity raffle prize is $1,000. The charity sells 4,000 raffle tickets. One winner will be selected at random. At what ticket price would a ticket buyer expect to break even?

A discrete distribution can be described by its probability density function (PDF) or by its cumulative distribution function (CDF).

The variance will reach a maximum in a binomial distribution when:

Which model would you use to describe the probability that a call-center operator will make the first sale on the third call, assuming a constant probability of making a sale?

Use the binomial model to find the approximate hypergeometric probability of at least two damaged flash drives in a sample of five taken from a shipment of 150 that contains 30 damaged flash drives.

If tubing averages 16 defects per 100 meters, what is the probability of finding exactly 2 defects in a randomly chosen 10-meter piece of tubing?

A random variable is a function or rule that assigns a numerical value to each outcome in the sample space of a stochastic (chance) experiment.

Overview of Statistics

Data Collection

Describing Data Visually

Descriptive Statistics

Probability

Continuous Probability Distributions

Sampling Distributions and Estimation

One-Sample Hypothesis Tests

Two-Sample Hypothesis Tests

Analysis of Variance

Simple Regression

Multiple Regression

Time Series Analysis

Chi-Square Tests

Nonparametric Tests

Quality Management

Filters

Exam 6: Discrete Probability Distributions

A discrete binomial distribution is skewed right when π > .50.

The two outcomes (success, failure) in the Bernoulli model are equally likely.

A random variable X is distributed binomially with n = 8 and π = 0.70. The standard deviation of the variable X is approximately:

The true proportion of accounts receivable with some kind of error is .02 for Venal Enterprises. If an auditor randomly samples 200 accounts receivable, what is the approximate Poisson probability that fewer than two will contain errors?

Historically, 2 percent of the stray dogs in Southfield are unlicensed. On a randomly chosen day, the Southfield city animal control officer picks up seven stray dogs. What is the probability that fewer than two will be unlicensed?

When π = .70 the discrete binomial distribution is negatively skewed.

When you send out a resume, the probability of being called for an interview is .20. What is the probability that the first interview occurs on the fourth resume that you send out?

The hypergeometric distribution assumes that the probability of a success remains the same from one trial to the next.

A discrete probability distribution:

The standard deviation of a Poisson random variable is the square root of its mean.

Arrival of cars per minute at a toll booth may be characterized by the Poisson distribution if:

The hypergeometric distribution is skewed right.

An example of a geometric random variable is the number of pine trees with pine beetle infestation in a random sample of 15 pine trees in Colorado.

A charity raffle prize is $1,000. The charity sells 4,000 raffle tickets. One winner will be selected at random. At what ticket price would a ticket buyer expect to break even?

A discrete distribution can be described by its probability density function (PDF) or by its cumulative distribution function (CDF).

The variance will reach a maximum in a binomial distribution when:

Which model would you use to describe the probability that a call-center operator will make the first sale on the third call, assuming a constant probability of making a sale?

Use the binomial model to find the approximate hypergeometric probability of at least two damaged flash drives in a sample of five taken from a shipment of 150 that contains 30 damaged flash drives.

If tubing averages 16 defects per 100 meters, what is the probability of finding exactly 2 defects in a randomly chosen 10-meter piece of tubing?

A random variable is a function or rule that assigns a numerical value to each outcome in the sample space of a stochastic (chance) experiment.

Overview of Statistics

Data Collection

Describing Data Visually

Descriptive Statistics

Probability

Continuous Probability Distributions

Sampling Distributions and Estimation

One-Sample Hypothesis Tests

Two-Sample Hypothesis Tests

Analysis of Variance

Simple Regression

Multiple Regression

Time Series Analysis

Chi-Square Tests

Nonparametric Tests

Quality Management

Filters