Question 1

For which binomial distribution would a Poisson approximation be acceptable?

Accepted Answer

A) n = 60,π = 0.08 
B) n = 100,π = 0.15 
C) n = 40,π = 0.03 
D) n = 20,π = 0.20 
A) n = 60,π = 0.08 
B) n = 100,π = 0.15 
C) n = 40,π = 0.03 
D) n = 20,π = 0.20

Question 2

The expected value of a discrete random variable E(X)is the sum of all X values weighted by their respective probabilities.

Accepted Answer

A) True 
 B)False

Question 3

On a particular Thursday in August,40 Grand Canyon tourists enter a drawing for a free mule ride.Ten of the entrants are European tourists.Five entrants are selected at random to get the free mule ride.Which model best describes the number of European tourists in the random sample?

Accepted Answer

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

Question 4

On average,a major earthquake (Richter scale 6.0 or above)occurs three times a decade in a certain California county.Find the probability that at least one major earthquake will occur within the next decade.

Accepted Answer

A) 0.7408 
B) 0.1992 
C) 0.1494 
D) 0.9502 
A) 0.7408 
B) 0.1992 
C) 0.1494 
D) 0.9502

Question 5

To ensure quality,customer calls for airline fare quotations are monitored at random.On a particular Thursday afternoon,ticket agent Bob gives 40 fare quotations,of which 4 are incorrect.In a random sample of 8 of these customer calls,which model best describes the number of incorrect quotations Bob will make?

Accepted Answer

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

Question 6

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

Question 7

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 at least 1 student comes to office hours on any given Monday?

Accepted Answer

A) 0.30 
B) 0.40 
C) 0.50 
D) 0.60 
A) 0.30 
B) 0.40 
C) 0.50 
D) 0.60

Question 8

The Poisson distribution can be skewed either left or right,depending on λ.

Accepted Answer

A) True 
 B)False

Question 9

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 expected value E(X)for this distribution?

Accepted Answer

A) 1.2 
B) 1.0 
C) 1.5 
D) 2.0 
A) 1.2 
B) 1.0 
C) 1.5 
D) 2.0

Question 10

A discrete random variable

Accepted Answer

A) can be treated as continuous when it has a large range of values. 
B) cannot be treated as continuous. 
C) is best avoided if at all possible. 
D) is usually uniformly distributed. 
A) can be treated as continuous when it has a large range of values. 
B) cannot be treated as continuous. 
C) is best avoided if at all possible. 
D) is usually uniformly distributed.

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

During a randomly-chosen Friday lunch hour (12-1)which probability model would you use to describe the number of customers who order split pea soup at a certain California Pizza Kitchen?

Accepted Answer

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

Question 13

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

Accepted Answer

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

Question 14

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

Accepted Answer

A) True 
 B)False

Question 15

Which of the following characterizes a Bernoulli process?

Accepted Answer

A) A random experiment that has only two outcomes. 
B) The probability of "success" varies with each trial. 
C) Either outcome has the same chance of occurrence. 
D) The "success" must be a desirable outcome. 
A) A random experiment that has only two outcomes. 
B) The probability of "success" varies with each trial. 
C) Either outcome has the same chance of occurrence. 
D) The "success" must be a desirable outcome.

Question 16

Customer arrivals per unit of time would tend to follow a binomial distribution.

Accepted Answer

A) True 
 B)False

Question 17

A random variable is binomially distributed with n = 16 and π = 0.40.The expected value and standard deviation of the variables are

Accepted Answer

A) 2.00 and 1.24 
B) 4.80 and 4.00 
C) 6.40 and 1.96 
D) 2.00 and 1.20 
A) 2.00 and 1.24 
B) 4.80 and 4.00 
C) 6.40 and 1.96 
D) 2.00 and 1.20

Question 18

In a randomly chosen week,which probability model would you use to describe the number of accidents at the intersection of two streets?

Accepted Answer

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

Question 19

As a rule of thumb,the Poisson distribution can be used to approximate a binomial distribution when n ≥ 20 and π ≤ 0.05.

Accepted Answer

A) True 
 B)False

Question 20

Given the following probability distribution,what is the expected value of the random variable X?

Accepted Answer

A) 175 
B) 150 
C) 200 
D) 205 
A) 175 
B) 150 
C) 200 
D) 205

For which binomial distribution would a Poisson approximation be acceptable?

The expected value of a discrete random variable E(X)is the sum of all X values weighted by their respective probabilities.

On a particular Thursday in August,40 Grand Canyon tourists enter a drawing for a free mule ride.Ten of the entrants are European tourists.Five entrants are selected at random to get the free mule ride.Which model best describes the number of European tourists in the random sample?

On average,a major earthquake (Richter scale 6.0 or above)occurs three times a decade in a certain California county.Find the probability that at least one major earthquake will occur within the next decade.

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.

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 at least 1 student comes to office hours on any given Monday?

The Poisson distribution can be skewed either left or right,depending on λ.

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 expected value E(X)for this distribution?

A discrete random variable

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

During a randomly-chosen Friday lunch hour (12-1)which probability model would you use to describe the number of customers who order split pea soup at a certain California Pizza Kitchen?

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

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

Which of the following characterizes a Bernoulli process?

Customer arrivals per unit of time would tend to follow a binomial distribution.

A random variable is binomially distributed with n = 16 and π = 0.40.The expected value and standard deviation of the variables are

In a randomly chosen week,which probability model would you use to describe the number of accidents at the intersection of two streets?

As a rule of thumb,the Poisson distribution can be used to approximate a binomial distribution when n ≥ 20 and π ≤ 0.05.

Given the following probability distribution,what is the expected value of the random variable X?

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

Chi-Square Tests

Filters

Exam 6: Discrete Probability Distributions

For which binomial distribution would a Poisson approximation be acceptable?

The expected value of a discrete random variable E(X)is the sum of all X values weighted by their respective probabilities.

On a particular Thursday in August,40 Grand Canyon tourists enter a drawing for a free mule ride.Ten of the entrants are European tourists.Five entrants are selected at random to get the free mule ride.Which model best describes the number of European tourists in the random sample?

On average,a major earthquake (Richter scale 6.0 or above)occurs three times a decade in a certain California county.Find the probability that at least one major earthquake will occur within the next decade.

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.

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 at least 1 student comes to office hours on any given Monday?

The Poisson distribution can be skewed either left or right,depending on λ.

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 expected value E(X)for this distribution?

A discrete random variable

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

During a randomly-chosen Friday lunch hour (12-1)which probability model would you use to describe the number of customers who order split pea soup at a certain California Pizza Kitchen?

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

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

Which of the following characterizes a Bernoulli process?

Customer arrivals per unit of time would tend to follow a binomial distribution.

A random variable is binomially distributed with n = 16 and π = 0.40.The expected value and standard deviation of the variables are

In a randomly chosen week,which probability model would you use to describe the number of accidents at the intersection of two streets?

As a rule of thumb,the Poisson distribution can be used to approximate a binomial distribution when n ≥ 20 and π ≤ 0.05.

Given the following probability distribution,what is the expected value of the random variable X?

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

Chi-Square Tests

Filters