Question 1

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 2

The discrete random variable X is the number of students that show up for Professor Smith's office hours on Monday afternoons.The table below shows the probability distribution for X.What is the probability that fewer than 2 students come to office hours on any given Monday?

Accepted Answer

A)  .10 
B)  .40 
C)  .70 
D)  .90 
A)  .10 
B)  .40 
C)  .70 
D)  .90

Question 3

Which model best describes the number of blemishes per sheet of white bond paper?

Accepted Answer

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

Question 4

There are 90 passengers on a commuter flight from SFO to LAX,of whom 27 are traveling on business.In a random sample of five passengers,use the binomial model to find the approximate hypergeometric probability that there is at least one business passenger.

Accepted Answer

A)  .3087 
B)  .1681 
C)  .3602 
D)  .8319 
A)  .3087 
B)  .1681 
C)  .3602 
D)  .8319

Question 5

To describe the number of blemishes per sheet of white bond paper,we would use a discrete uniform distribution.

Accepted Answer

A) True 
 B)False

Question 6

There is a .02 probability that a customer's Visa charge will be rejected at a certain Target store because the transaction exceeds the customer's credit limit.What is the probability that the first such rejection occurs within the first 20 Visa transactions?

Accepted Answer

A)  .1362 
B)  .4000 
C)  .3324 
D)  .4538 
A)  .1362 
B)  .4000 
C)  .3324 
D)  .4538

Question 7

Although the shape of the Poisson distribution is positively skewed,it becomes more nearly symmetric as its mean becomes larger.

Accepted Answer

A) True 
 B)False

Question 8

When you send out a resume,the probability of being called for an interview is .20.What is the expected number of resumes you send out until you get the first interview?

Accepted Answer

A)  5 
B)  7 
C)  10 
D)  12 
A)  5 
B)  7 
C)  10 
D)  12

Question 9

Ephemeral Services Corporation (ESCO)knows that nine other companies besides ESCO are bidding for a $900,000 government contract.Each company has an equal chance of being awarded the contract.If ESCO has already spent $100,000 in developing its bidding proposal,what is its expected net profit?

Accepted Answer

A)  $100,000 
B)  $90,000 
C)  -$10,000 
D)  $0 
A)  $100,000 
B)  $90,000 
C)  -$10,000 
D)  $0

Question 10

A carnival has a game of chance: a fair coin is tossed.If it lands heads you win $1.00 and if it lands tails you lose $0.50.How much should a ticket to play this game cost if the carnival wants to break even?

Accepted Answer

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

Question 11

Which of the following is not a requirement of a binomial distribution?

Accepted Answer

A)  Constant probability of success 
B)  Only two possible Bernoulli outcomes 
C)  Fixed number of trials 
D)  Equally likely outcomes 
A)  Constant probability of success 
B)  Only two possible Bernoulli outcomes 
C)  Fixed number of trials 
D)  Equally likely outcomes

Question 12

Suppose X is binomially distributed with n = 12 and π = .20.The probability that X will be less than or equal to 3 is:

Accepted Answer

A)  .5584 
B)  .7946 
C)  .2362 
D)  .7638 
A)  .5584 
B)  .7946 
C)  .2362 
D)  .7638

Question 13

The outcomes for the sum of two dice can be described as a discrete uniform distribution.

Accepted Answer

A) True 
 B)False

Question 14

For which binomial distribution would a Poisson approximation be unacceptable?

Accepted Answer

A)  n = 30,π = 0.02 
B)  n = 50,π = 0.03 
C)  n = 200,π = 0.10 
D)  n = 500,π = 0.01 
A)  n = 30,π = 0.02 
B)  n = 50,π = 0.03 
C)  n = 200,π = 0.10 
D)  n = 500,π = 0.01

Question 15

Of the following,the one that most resembles a Poisson random variable is the number of:

Accepted Answer

A)  heads in 200 flips of a fair coin. 
B)  annual power failures at your residence. 
C)  face cards in a bridge hand of 13 cards. 
D)  defective CDs in a spool containing 15 CDs. 
A)  heads in 200 flips of a fair coin. 
B)  annual power failures at your residence. 
C)  face cards in a bridge hand of 13 cards. 
D)  defective CDs in a spool containing 15 CDs.

Question 16

The probability that a rental car will be stolen is 0.0004.If 3500 cars are rented,what is the approximate Poisson probability that 2 or fewer will be stolen?

Accepted Answer

A)  .3452 
B)  .2417 
C)  .5918 
D)  .8335 
A)  .3452 
B)  .2417 
C)  .5918 
D)  .8335

Question 17

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

Accepted Answer

A) True 
 B)False

Question 18

On a randomly chosen Wednesday,which probability model would you use to describe the number of convenience store robberies in Los Angeles?

Accepted Answer

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

Question 19

Which distribution is most strongly right-skewed?

Accepted Answer

A)  Binomial with n = 50,π = .70 
B)  Binomial with n = 50,π = .90 
C)  Binomial with n = 50,π = .40 
D)  Binomial with n = 50,π = .10 
A)  Binomial with n = 50,π = .70 
B)  Binomial with n = 50,π = .90 
C)  Binomial with n = 50,π = .40 
D)  Binomial with n = 50,π = .10

Question 20

The discrete random variable X is the number of passengers waiting at a bus stop.The table below shows the probability distribution for X.What is the expected value E(X)for this distribution?

Accepted Answer

A)  1.1 
B)  1.3 
C)  1.7 
D)  1.9 
A)  1.1 
B)  1.3 
C)  1.7 
D)  1.9

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

The discrete random variable X is the number of students that show up for Professor Smith's office hours on Monday afternoons.The table below shows the probability distribution for X.What is the probability that fewer than 2 students come to office hours on any given Monday?

Which model best describes the number of blemishes per sheet of white bond paper?

There are 90 passengers on a commuter flight from SFO to LAX,of whom 27 are traveling on business.In a random sample of five passengers,use the binomial model to find the approximate hypergeometric probability that there is at least one business passenger.

To describe the number of blemishes per sheet of white bond paper,we would use a discrete uniform distribution.

There is a .02 probability that a customer's Visa charge will be rejected at a certain Target store because the transaction exceeds the customer's credit limit.What is the probability that the first such rejection occurs within the first 20 Visa transactions?

Although the shape of the Poisson distribution is positively skewed,it becomes more nearly symmetric as its mean becomes larger.

When you send out a resume,the probability of being called for an interview is .20.What is the expected number of resumes you send out until you get the first interview?

Ephemeral Services Corporation (ESCO)knows that nine other companies besides ESCO are bidding for a $900,000 government contract.Each company has an equal chance of being awarded the contract.If ESCO has already spent $100,000 in developing its bidding proposal,what is its expected net profit?

A carnival has a game of chance: a fair coin is tossed.If it lands heads you win $1.00 and if it lands tails you lose $0.50.How much should a ticket to play this game cost if the carnival wants to break even?

Which of the following is not a requirement of a binomial distribution?

Suppose X is binomially distributed with n = 12 and π = .20.The probability that X will be less than or equal to 3 is:

The outcomes for the sum of two dice can be described as a discrete uniform distribution.

For which binomial distribution would a Poisson approximation be unacceptable?

Of the following,the one that most resembles a Poisson random variable is the number of:

The probability that a rental car will be stolen is 0.0004.If 3500 cars are rented,what is the approximate Poisson probability that 2 or fewer will be stolen?

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

On a randomly chosen Wednesday,which probability model would you use to describe the number of convenience store robberies in Los Angeles?

Which distribution is most strongly right-skewed?

The discrete random variable X is the number of passengers waiting at a bus stop.The table below shows the probability distribution for X.What is the expected value E(X)for this distribution?

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

The discrete random variable X is the number of students that show up for Professor Smith's office hours on Monday afternoons.The table below shows the probability distribution for X.What is the probability that fewer than 2 students come to office hours on any given Monday?

Which model best describes the number of blemishes per sheet of white bond paper?

There are 90 passengers on a commuter flight from SFO to LAX,of whom 27 are traveling on business.In a random sample of five passengers,use the binomial model to find the approximate hypergeometric probability that there is at least one business passenger.

To describe the number of blemishes per sheet of white bond paper,we would use a discrete uniform distribution.

There is a .02 probability that a customer's Visa charge will be rejected at a certain Target store because the transaction exceeds the customer's credit limit.What is the probability that the first such rejection occurs within the first 20 Visa transactions?

Although the shape of the Poisson distribution is positively skewed,it becomes more nearly symmetric as its mean becomes larger.

When you send out a resume,the probability of being called for an interview is .20.What is the expected number of resumes you send out until you get the first interview?

Ephemeral Services Corporation (ESCO)knows that nine other companies besides ESCO are bidding for a $900,000 government contract.Each company has an equal chance of being awarded the contract.If ESCO has already spent $100,000 in developing its bidding proposal,what is its expected net profit?

A carnival has a game of chance: a fair coin is tossed.If it lands heads you win $1.00 and if it lands tails you lose $0.50.How much should a ticket to play this game cost if the carnival wants to break even?

Which of the following is not a requirement of a binomial distribution?

Suppose X is binomially distributed with n = 12 and π = .20.The probability that X will be less than or equal to 3 is:

The outcomes for the sum of two dice can be described as a discrete uniform distribution.

For which binomial distribution would a Poisson approximation be unacceptable?

Of the following,the one that most resembles a Poisson random variable is the number of:

The probability that a rental car will be stolen is 0.0004.If 3500 cars are rented,what is the approximate Poisson probability that 2 or fewer will be stolen?

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

On a randomly chosen Wednesday,which probability model would you use to describe the number of convenience store robberies in Los Angeles?

Which distribution is most strongly right-skewed?

The discrete random variable X is the number of passengers waiting at a bus stop.The table below shows the probability distribution for X.What is the expected value E(X)for this distribution?

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