Question 1

Use the Poisson probability function to find P(1 < x< 3), where λ = 3.2.

Accepted Answer

A) .3478 
B) .5617 
C) .4213 
D) .3897 
E) .4536 
A) .3478 
B) .5617 
C) .4213 
D) .3897 
E) .4536 B

Question 2

A discrete random variable would be an appropriate way to describe the outcome of which of the following experiments?

Accepted Answer

A) the color of car chosen by a randomly selected car buyer 
B) the number of points a soccer team scores in its next game 
C) the length of time it takes a randomly selected commuter to drive to work 
D) the area of a city covered by trees 
E) the distance covered by a golfer hitting the ball off the tee 
A) the color of car chosen by a randomly selected car buyer 
B) the number of points a soccer team scores in its next game 
C) the length of time it takes a randomly selected commuter to drive to work 
D) the area of a city covered by trees 
E) the distance covered by a golfer hitting the ball off the tee B

Question 3

Your car (like most cars) has four tires.Each tire has a 1% chance of running low on air in the morning.Assume that the state of one tire has no relationship to the state of the others.Use the binomial probability function to determine the probability that one tire will be running low on air tomorrow morning.

Accepted Answer

A) 0.010 
B) 0.039 
C) 0.250 
D) 0.999 
E) 0.450 
A) 0.010 
B) 0.039 
C) 0.250 
D) 0.999 
E) 0.450 B

Question 4

Use the Poisson distribution to approximate the binomial probability, P(x = 7), where n = 100, p = .04

Accepted Answer

A) .0782 
B) .1213 
C) .0595 
D) .0994 
E) .1390 
A) .0782 
B) .1213 
C) .0595 
D) .0994 
E) .1390

Question 5

You plan to randomly select 10 city restaurants.Historically, 70% of city restaurants are rated "high pass" by city health inspectors.If this percentage is still true, determine the probability that among the ten restaurants you select you'll find exactly two that have been rated "high pass."

Accepted Answer

A) .0120 
B) .1003 
C) .0651 
D) .0014 
E) .0102 
A) .0120 
B) .1003 
C) .0651 
D) .0014 
E) .0102

Question 6

You need to buy three books for your finance course this semester.You estimate that there is 60% chance of that you can buy any one of the books cheaper online than in the bookstore.If you define "number of the finance books that will be cheaper online" as a random variable, which set of probabilities would be used to form the probability distribution for this random variable?

Accepted Answer

A) .064, .298, .422, .216 
B) .064, .288, .432, .216 
C) .064, .268, .452, .216 
D) .064, .238, .482, .216 
E) .238, .064, .216, .482 
A) .064, .298, .422, .216 
B) .064, .288, .432, .216 
C) .064, .268, .452, .216 
D) .064, .238, .482, .216 
E) .238, .064, .216, .482

Question 7

During the summer season, the average number of lightning strikes per week in the Royal Canyon area is 3.6.Assume that all the Poisson conditions are met.Let x represent values for the random variable "number of lightning strikes in a week." What is the variance of x?

Accepted Answer

A) 4.9 
B) 5.2 
C) 2.7 
D) 3.0 
E) 3.6 
A) 4.9 
B) 5.2 
C) 2.7 
D) 3.0 
E) 3.6

Question 8

The binomial probability function is composed of two parts, the first of which computes the probability of each of the ways in which the x successes in n trials can occur.

Accepted Answer

A) True 
 B)False

Question 9

Salem University's MBA program has a 55% acceptance rate.If you randomly select a sample of 20 applicants, how likely is it that 10 of the applicants will be accepted into the program?

Accepted Answer

A) .1315 
B) .1987 
C) .1593 
D) .1823 
E) .1772 
A) .1315 
B) .1987 
C) .1593 
D) .1823 
E) .1772

Question 10

The mean of a discrete probability distribution is generally referred to as the expected value of the distribution.

Accepted Answer

A) True 
 B)False

Question 11

Use the Poisson distribution to approximate the binomial probability P(x = 2) when n = 200, p = .03.

Accepted Answer

A) .0201 
B) .0838 
C) .0446 
D) .1098 
E) .1286 
A) .0201 
B) .0838 
C) .0446 
D) .1098 
E) .1286

Question 12

If X is a discrete random variable,

Accepted Answer

A) it is possible for X to take on an infinite number of values. 
B) X may only take a finite number of values. 
C) X may only take on whole number values. 
D) X cannot take on negative values. 
E) X cannot take on positive values. 
A) it is possible for X to take on an infinite number of values. 
B) X may only take a finite number of values. 
C) X may only take on whole number values. 
D) X cannot take on negative values. 
E) X cannot take on positive values.

Question 13

Requests for a chat with a customer service representative on MaxTrend.com's website conform roughly to the Poisson conditions.The average number of requests is six per hour.Compute the probability of exactly two requests during the next thirty minutes.

Accepted Answer

A) .2240 
B) .2617 
C) .3419 
D) .2509 
E) .2864 
A) .2240 
B) .2617 
C) .3419 
D) .2509 
E) .2864

Question 14

Salem University's MBA program has a 55% acceptance rate.You randomly select a sample of 20 applicants.For the random variable "number of applicants in the sample who are accepted into the program," compute the standard deviation.

Accepted Answer

A) 3.88 
B) 1.22 
C) 2.98 
D) 2.23 
E) 3.45 
A) 3.88 
B) 1.22 
C) 2.98 
D) 2.23 
E) 3.45

Question 15

Use the Poisson distribution to approximate the binomial probability P(x = 4) when n = 1000, p = .001.

Accepted Answer

A) .0617 
B) .0992 
C) .0234 
D) .1182 
E) .0153 
A) .0617 
B) .0992 
C) .0234 
D) .1182 
E) .0153

Question 16

When playing a round of golf, the number of pars is considered to be a discrete variable.

Accepted Answer

A) True 
 B)False

Question 17

When playing a round of golf, the distance of the drive off the second tee in feet is considered to be a discrete variable.

Accepted Answer

A) True 
 B)False

Question 18

The number of re-tweets of your Twitter tweets over the last ten days is shown below.If you define a random variable that counts the number of daily re-tweets during this 10-day period, show the possible values for the random variable in ascending order. 3, 1, 1, 0, 1, 1, 2, 2, 0, 2.

Accepted Answer

A) 0, 1, 2, 3 
B) 1, 2, 3, 4 
C) 1, 1, 0, 3 
D) 2, 2, 1, 0 
E) 0, 2, 3, 4 
A) 0, 1, 2, 3 
B) 1, 2, 3, 4 
C) 1, 1, 0, 3 
D) 2, 2, 1, 0 
E) 0, 2, 3, 4

Question 19

On average stoppages on the assembly line at Jamari Industries have a Poisson distribution with a mean of .1 per hour.Assume all the Poisson conditions are met.Use the Poisson probability function to determine the probability of having at least two stoppages in a 15-hour period.

Accepted Answer

A) .3265 
B) .4422 
C) .5123 
D) .6213 
E) .4746 
A) .3265 
B) .4422 
C) .5123 
D) .6213 
E) .4746

Question 20

The binomial probability function is composed of two parts, the second of which computes the probability of each of the ways in which the x successes in n trials can occur.

Accepted Answer

A) True 
 B)False

Use the Poisson probability function to find P(1 < x< 3), where λ = 3.2.

A discrete random variable would be an appropriate way to describe the outcome of which of the following experiments?

Use the Poisson distribution to approximate the binomial probability, P(x = 7), where n = 100, p = .04

You plan to randomly select 10 city restaurants.Historically, 70% of city restaurants are rated "high pass" by city health inspectors.If this percentage is still true, determine the probability that among the ten restaurants you select you'll find exactly two that have been rated "high pass."

During the summer season, the average number of lightning strikes per week in the Royal Canyon area is 3.6.Assume that all the Poisson conditions are met.Let x represent values for the random variable "number of lightning strikes in a week." What is the variance of x?

The binomial probability function is composed of two parts, the first of which computes the probability of each of the ways in which the x successes in n trials can occur.

Salem University's MBA program has a 55% acceptance rate.If you randomly select a sample of 20 applicants, how likely is it that 10 of the applicants will be accepted into the program?

The mean of a discrete probability distribution is generally referred to as the expected value of the distribution.

Use the Poisson distribution to approximate the binomial probability P(x = 2) when n = 200, p = .03.

If X is a discrete random variable,

Requests for a chat with a customer service representative on MaxTrend.com's website conform roughly to the Poisson conditions.The average number of requests is six per hour.Compute the probability of exactly two requests during the next thirty minutes.

Salem University's MBA program has a 55% acceptance rate.You randomly select a sample of 20 applicants.For the random variable "number of applicants in the sample who are accepted into the program," compute the standard deviation.

Use the Poisson distribution to approximate the binomial probability P(x = 4) when n = 1000, p = .001.

When playing a round of golf, the number of pars is considered to be a discrete variable.

When playing a round of golf, the distance of the drive off the second tee in feet is considered to be a discrete variable.

The number of re-tweets of your Twitter tweets over the last ten days is shown below.If you define a random variable that counts the number of daily re-tweets during this 10-day period, show the possible values for the random variable in ascending order. 3, 1, 1, 0, 1, 1, 2, 2, 0, 2.

On average stoppages on the assembly line at Jamari Industries have a Poisson distribution with a mean of .1 per hour.Assume all the Poisson conditions are met.Use the Poisson probability function to determine the probability of having at least two stoppages in a 15-hour period.

The binomial probability function is composed of two parts, the second of which computes the probability of each of the ways in which the x successes in n trials can occur.

An Introduction to Statistics

Descriptive Statistics I: Elementary Data Presentation and Description

Descriptive Statistics II: Additional Descriptive Measures and Data Displays

Probability

Continuous Probability Distributions

Statistical Inference: Estimating a Population Mean

Interval Estimates for Proportions, Mean Differences and Proportion Differences

Statistical Hypothesis Testing: Hypothesis Tests for a Population Mean

Hypothesis Tests for Proportions, Mean Differences and Proportion Differences

Basic Regression Analysis

Multiple Regression

F Tests and Analysis of Variance

Experimental Designonline Only

Chi-Square Tests

Filters

Exam 5: Discrete Probability Distributions

Use the Poisson probability function to find P(1 < x< 3), where λ = 3.2.

A discrete random variable would be an appropriate way to describe the outcome of which of the following experiments?

Use the Poisson distribution to approximate the binomial probability, P(x = 7), where n = 100, p = .04

You plan to randomly select 10 city restaurants.Historically, 70% of city restaurants are rated "high pass" by city health inspectors.If this percentage is still true, determine the probability that among the ten restaurants you select you'll find exactly two that have been rated "high pass."

During the summer season, the average number of lightning strikes per week in the Royal Canyon area is 3.6.Assume that all the Poisson conditions are met.Let x represent values for the random variable "number of lightning strikes in a week." What is the variance of x?

The binomial probability function is composed of two parts, the first of which computes the probability of each of the ways in which the x successes in n trials can occur.

Salem University's MBA program has a 55% acceptance rate.If you randomly select a sample of 20 applicants, how likely is it that 10 of the applicants will be accepted into the program?

The mean of a discrete probability distribution is generally referred to as the expected value of the distribution.

Use the Poisson distribution to approximate the binomial probability P(x = 2) when n = 200, p = .03.

If X is a discrete random variable,

Requests for a chat with a customer service representative on MaxTrend.com's website conform roughly to the Poisson conditions.The average number of requests is six per hour.Compute the probability of exactly two requests during the next thirty minutes.

Salem University's MBA program has a 55% acceptance rate.You randomly select a sample of 20 applicants.For the random variable "number of applicants in the sample who are accepted into the program," compute the standard deviation.

Use the Poisson distribution to approximate the binomial probability P(x = 4) when n = 1000, p = .001.

When playing a round of golf, the number of pars is considered to be a discrete variable.

When playing a round of golf, the distance of the drive off the second tee in feet is considered to be a discrete variable.

The number of re-tweets of your Twitter tweets over the last ten days is shown below.If you define a random variable that counts the number of daily re-tweets during this 10-day period, show the possible values for the random variable in ascending order. 3, 1, 1, 0, 1, 1, 2, 2, 0, 2.

On average stoppages on the assembly line at Jamari Industries have a Poisson distribution with a mean of .1 per hour.Assume all the Poisson conditions are met.Use the Poisson probability function to determine the probability of having at least two stoppages in a 15-hour period.

The binomial probability function is composed of two parts, the second of which computes the probability of each of the ways in which the x successes in n trials can occur.

An Introduction to Statistics

Descriptive Statistics I: Elementary Data Presentation and Description

Descriptive Statistics II: Additional Descriptive Measures and Data Displays

Probability

Continuous Probability Distributions

Statistical Inference: Estimating a Population Mean

Interval Estimates for Proportions, Mean Differences and Proportion Differences

Statistical Hypothesis Testing: Hypothesis Tests for a Population Mean

Hypothesis Tests for Proportions, Mean Differences and Proportion Differences

Basic Regression Analysis

Multiple Regression

F Tests and Analysis of Variance

Experimental Designonline Only

Chi-Square Tests

Filters