Question 1

The Poisson distribution is being used to approximate a binomial distribution.If n=40 and p=0.06, what value of lambda would be used?

Accepted Answer

A) 0.06 
B) 2.4 
C) 0.24 
D) 24 
E) 40 
A) 0.06 
B) 2.4 
C) 0.24 
D) 24 
E) 40 B

Question 2

The Poisson distribution is best suited to describe occurrences of rare events in a situation where each occurrence is independent of the other occurrences.

Accepted Answer

A) True 
 B)False  True

Question 3

The Poisson distribution is being used to approximate a binomial distribution.If n=60 and p=0.02, what value of lambda would be used?

Accepted Answer

A) 0.02 
B) 12 
C) 0.12 
D) 1.2 
E) 120 
A) 0.02 
B) 12 
C) 0.12 
D) 1.2 
E) 120 D

Question 4

If x is a binomial random variable with n=8 and p=0.6, what is the probability that x is equal to 4?

Accepted Answer

A) 0.500 
B) 0.005 
C) 0.124 
D) 0.232 
E) 0.578 
A) 0.500 
B) 0.005 
C) 0.124 
D) 0.232 
E) 0.578

Question 5

Dorothy Little purchased a mailing list of 2,000 names and addresses for her mail order business, but after scanning the list she doubts the authenticity of the list.She randomly selects five names from the list for validation.If 40% of the names on the list are non-authentic, and x is the number of non-authentic names in her sample, P(x>0)is ___.

Accepted Answer

A) 0.2172 
B) 0.9533 
C) 0.1846 
D) 0.9222 
E) 1.0000 
A) 0.2172 
B) 0.9533 
C) 0.1846 
D) 0.9222 
E) 1.0000

Question 6

For a binomial distribution in which the probability of success p = 0.5, the variance is twice the mean.

Accepted Answer

A) True 
 B)False

Question 7

Suppose a committee of 3 people is to be selected from a group consisting of 4 men and 5 women.What is the probability that all three people selected are men?

Accepted Answer

A) 0.05 
B) 0.33 
C) 0.11 
D) 0.80 
E) 0.90 
A) 0.05 
B) 0.33 
C) 0.11 
D) 0.80 
E) 0.90

Question 8

If x is a binomial random variable with n=8 and p=0.6, the mean value of x is ___.

Accepted Answer

A) 6 
B) 4.8 
C) 3.2 
D) 8 
E) 48 
A) 6 
B) 4.8 
C) 3.2 
D) 8 
E) 48

Question 9

A market research team compiled the following discrete probability distribution.In this distribution x represents the number of automobiles owned by a family.   The standard deviation of x is ___.

Accepted Answer

A) 0.80 
B) 0.89 
C) 1.00 
D) 2.00 
E) 2.25 
A) 0.80 
B) 0.89 
C) 1.00 
D) 2.00 
E) 2.25

Question 10

A binomial distribution is better than a Poisson distribution to describe the occurrence of major oil spills in the Gulf of Saint Lawrence.

Accepted Answer

A) True 
 B)False

Question 11

One hundred policyholders file claims with CareFree Insurance.Ten of these claims are fraudulent.Claims manager Earl Evans randomly selects four of the ten claims for thorough investigation.If x represents the number of fraudulent claims in Earl's sample, x has a ___.

Accepted Answer

A) normal distribution 
B) hypergeometric distribution, but may be approximated by a binomial 
C) binomial distribution, but may be approximated by a normal 
D) binomial distribution, but may be approximated by a Poisson 
E) exponential distribution 
A) normal distribution 
B) hypergeometric distribution, but may be approximated by a binomial 
C) binomial distribution, but may be approximated by a normal 
D) binomial distribution, but may be approximated by a Poisson 
E) exponential distribution

Question 12

The mean or the expected value of a discrete distribution is the long-run average of the occurrences.

Accepted Answer

A) True 
 B)False

Question 13

A student randomly guesses the answers to a five question true/false test.If there is a 50% chance of guessing correctly on each question, what is the probability that the student misses no questions?

Accepted Answer

A) 0.000 
B) 0.200 
C) 0.500 
D) 0.031 
E) 1.000 
A) 0.000 
B) 0.200 
C) 0.500 
D) 0.031 
E) 1.000

Question 14

Dorothy Little purchased a mailing list of 2,000 names and addresses for her mail order business, but after scanning the list she doubts the authenticity of the list.She randomly selects five names from the list for validation.If 40% of the names on the list are non-authentic, and x is the number of non-authentic names in her sample, P(x=0)is ___.

Accepted Answer

A) 0.8154 
B) 0.0467 
C) 0.0778 
D) 0.4000 
E) 0.5000 
A) 0.8154 
B) 0.0467 
C) 0.0778 
D) 0.4000 
E) 0.5000

Question 15

A hypergeometric distribution applies to experiments in which the trials represent sampling without replacement.

Accepted Answer

A) True 
 B)False

Question 16

Aluminum castings are processed in lots of five each.A sample of two castings is randomly selected from each lot for inspection.A particular lot contains one defective casting; and x is the number of defective castings in the sample.P(x=0)is ___.

Accepted Answer

A) 0.2 
B) 0.4 
C) 0.6 
D) 0.8 
E) 1.0 
A) 0.2 
B) 0.4 
C) 0.6 
D) 0.8 
E) 1.0

Question 17

On Saturdays, cars arrive at Sami Schmitt's Scrub and Shine Car Wash at the rate of 6 cars per fifteen minute interval.Using the Poisson distribution, the probability that five cars will arrive during the next five minute interval is ___.

Accepted Answer

A) 0.1008 
B) 0.0361 
C) 0.1339 
D) 0.1606 
E) 0.3610 
A) 0.1008 
B) 0.0361 
C) 0.1339 
D) 0.1606 
E) 0.3610

Question 18

If x is a binomial random variable with n=8 and p=0.6, the standard deviation of x is ___.

Accepted Answer

A) 4.8 
B) 3.2 
C) 1.92 
D) 1.39 
E) 1.00 
A) 4.8 
B) 3.2 
C) 1.92 
D) 1.39 
E) 1.00

Question 19

One hundred policyholders file claims with CareFree Insurance.Ten of these claims are fraudulent.Claims manager Earl Evans randomly selects four of the ten claims for thorough investigation.If x represents the number of fraudulent claims in Earl's sample, x has a ___ distribution.

Accepted Answer

A) continuous 
B) normal 
C) binomial 
D) hypergeometric 
E) exponential 
A) continuous 
B) normal 
C) binomial 
D) hypergeometric 
E) exponential

Question 20

The amount of time a patient waits in a doctor's office is an example of a continuous random variable.

Accepted Answer

A) True 
 B)False

The Poisson distribution is being used to approximate a binomial distribution.If n=40 and p=0.06, what value of lambda would be used?

The Poisson distribution is best suited to describe occurrences of rare events in a situation where each occurrence is independent of the other occurrences.

The Poisson distribution is being used to approximate a binomial distribution.If n=60 and p=0.02, what value of lambda would be used?

If x is a binomial random variable with n=8 and p=0.6, what is the probability that x is equal to 4?

For a binomial distribution in which the probability of success p = 0.5, the variance is twice the mean.

Suppose a committee of 3 people is to be selected from a group consisting of 4 men and 5 women.What is the probability that all three people selected are men?

If x is a binomial random variable with n=8 and p=0.6, the mean value of x is ___.

A market research team compiled the following discrete probability distribution.In this distribution x represents the number of automobiles owned by a family. The standard deviation of x is ___.

A binomial distribution is better than a Poisson distribution to describe the occurrence of major oil spills in the Gulf of Saint Lawrence.

One hundred policyholders file claims with CareFree Insurance.Ten of these claims are fraudulent.Claims manager Earl Evans randomly selects four of the ten claims for thorough investigation.If x represents the number of fraudulent claims in Earl's sample, x has a ___.

The mean or the expected value of a discrete distribution is the long-run average of the occurrences.

A student randomly guesses the answers to a five question true/false test.If there is a 50% chance of guessing correctly on each question, what is the probability that the student misses no questions?

A hypergeometric distribution applies to experiments in which the trials represent sampling without replacement.

Aluminum castings are processed in lots of five each.A sample of two castings is randomly selected from each lot for inspection.A particular lot contains one defective casting; and x is the number of defective castings in the sample.P(x=0)is ___.

On Saturdays, cars arrive at Sami Schmitt's Scrub and Shine Car Wash at the rate of 6 cars per fifteen minute interval.Using the Poisson distribution, the probability that five cars will arrive during the next five minute interval is ___.

If x is a binomial random variable with n=8 and p=0.6, the standard deviation of x is ___.

One hundred policyholders file claims with CareFree Insurance.Ten of these claims are fraudulent.Claims manager Earl Evans randomly selects four of the ten claims for thorough investigation.If x represents the number of fraudulent claims in Earl's sample, x has a ___ distribution.

The amount of time a patient waits in a doctor's office is an example of a continuous random variable.

Introduction to Statistics

Charts and Graphs

Descriptive Statistics

Probability

Continuous Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Analysis of Variance and Design of Experiments

Simple Regression Analysis and Correlation

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

Exam 5: Discrete Distributions

The Poisson distribution is being used to approximate a binomial distribution.If n=40 and p=0.06, what value of lambda would be used?

The Poisson distribution is best suited to describe occurrences of rare events in a situation where each occurrence is independent of the other occurrences.

The Poisson distribution is being used to approximate a binomial distribution.If n=60 and p=0.02, what value of lambda would be used?

If x is a binomial random variable with n=8 and p=0.6, what is the probability that x is equal to 4?

For a binomial distribution in which the probability of success p = 0.5, the variance is twice the mean.

Suppose a committee of 3 people is to be selected from a group consisting of 4 men and 5 women.What is the probability that all three people selected are men?

If x is a binomial random variable with n=8 and p=0.6, the mean value of x is ___.

A market research team compiled the following discrete probability distribution.In this distribution x represents the number of automobiles owned by a family. The standard deviation of x is ___.

A binomial distribution is better than a Poisson distribution to describe the occurrence of major oil spills in the Gulf of Saint Lawrence.

One hundred policyholders file claims with CareFree Insurance.Ten of these claims are fraudulent.Claims manager Earl Evans randomly selects four of the ten claims for thorough investigation.If x represents the number of fraudulent claims in Earl's sample, x has a ___.

The mean or the expected value of a discrete distribution is the long-run average of the occurrences.

A student randomly guesses the answers to a five question true/false test.If there is a 50% chance of guessing correctly on each question, what is the probability that the student misses no questions?

A hypergeometric distribution applies to experiments in which the trials represent sampling without replacement.

Aluminum castings are processed in lots of five each.A sample of two castings is randomly selected from each lot for inspection.A particular lot contains one defective casting; and x is the number of defective castings in the sample.P(x=0)is ___.

On Saturdays, cars arrive at Sami Schmitt's Scrub and Shine Car Wash at the rate of 6 cars per fifteen minute interval.Using the Poisson distribution, the probability that five cars will arrive during the next five minute interval is ___.

If x is a binomial random variable with n=8 and p=0.6, the standard deviation of x is ___.

One hundred policyholders file claims with CareFree Insurance.Ten of these claims are fraudulent.Claims manager Earl Evans randomly selects four of the ten claims for thorough investigation.If x represents the number of fraudulent claims in Earl's sample, x has a ___ distribution.

The amount of time a patient waits in a doctor's office is an example of a continuous random variable.

Introduction to Statistics

Charts and Graphs

Descriptive Statistics

Probability

Continuous Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Analysis of Variance and Design of Experiments

Simple Regression Analysis and Correlation

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters