Question 1

Define a random variable in order to differentiate between a discrete distribution and a continuous distribution.

Accepted Answer

Probability experiments produce random o

Question 2

In a binomial experiment,any single trial contains only two possible outcomes and successive trials are dependent.

Accepted Answer

A) True 
 B)False

Question 3

If x has a binomial distribution with p = .5,then the distribution of x is ___.

Accepted Answer

A) skewed to the right 
B) skewed to the left 
C) symmetric 
D) a Poisson distribution 
E) a hypergeometric distribution 
A) skewed to the right 
B) skewed to the left 
C) symmetric 
D) a Poisson distribution 
E) a hypergeometric distribution

Question 4

The number of defective parts in a lot of 25 parts is an example of ___.

Accepted Answer

A) a discrete random variable 
B) a continuous random variable 
C) the Poisson distribution 
D) the normal distribution 
E) a constant 
A) a discrete random variable 
B) a continuous random variable 
C) the Poisson distribution 
D) the normal distribution 
E) a constant

Question 5

You are offered an investment opportunity.Its outcomes and probabilities are presented in the following table:   The mean of this distribution is ___.

Accepted Answer

A) -$400 
B) $0 
C) $200 
D) $400 
E) $500 
A) -$400 
B) $0 
C) $200 
D) $400 
E) $500

Question 6

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 7

A market research team compiled the following discrete probability distribution.In this distribution x represents the number of automobiles owned by a family.   The mean (average)value of x is ___.

Accepted Answer

A) 1.0 
B) 1.5 
C) 2.0 
D) 2.5 
E) 3.0 
A) 1.0 
B) 1.5 
C) 2.0 
D) 2.5 
E) 3.0

Question 8

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 9

The assumption of independent trials in a binomial distribution is not a great concern if the sample size is smaller than 1/20th of the population size.

Accepted Answer

A) True 
 B)False

Question 10

The following graph is a binomial distribution with n = 6:   This graph reveals that ___.

Accepted Answer

A) p = 0.5 
B) p = 1.0 
C) p = 0 
D) p < 0.5 
E) p = 1.5 
A) p = 0.5 
B) p = 1.0 
C) p = 0 
D) p < 0.5 
E) p = 1.5

Question 11

Ten policyholders file claims with CareFree Insurance.Three of these claims are fraudulent.Claims manager Earl Evans randomly selects three of the ten claims for thorough investigation.If x represents the number of fraudulent claims in Earl's sample,P(x=1)is ___.

Accepted Answer

A) 0.5250 
B) 0.4410 
C) 0.3000 
D) 0.6957 
E) 0.9957 
A) 0.5250 
B) 0.4410 
C) 0.3000 
D) 0.6957 
E) 0.9957

Question 12

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 13

The number of defects per 1,000 feet of extruded plastic pipe is best modelled with the ___.

Accepted Answer

A) Poisson distribution 
B) Pascal distribution 
C) binomial distribution 
D) hypergeometric distribution 
E) exponential distribution 
A) Poisson distribution 
B) Pascal distribution 
C) binomial distribution 
D) hypergeometric distribution 
E) exponential distribution

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) 0.2172 
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 15

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 16

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 17

The probability of selecting 2 male employees and 3 female employees for promotions in a small company would best be modelled with the ___.

Accepted Answer

A) binomial distribution 
B) hypergeometric distribution 
C) Poisson distribution 
D) hyperbinomial distribution 
E) exponential distribution 
A) binomial distribution 
B) hypergeometric distribution 
C) Poisson distribution 
D) hyperbinomial distribution 
E) exponential distribution

Question 18

A market research team compiled the following discrete probability distribution.In this distribution x represents the number of automobiles owned by a family.   Which of the following statements is true?

Accepted Answer

A) This distribution is skewed to the right. 
B) This is a binomial distribution. 
C) This is a normal distribution. 
D) This distribution is skewed to the left. 
E) This distribution is bimodal. 
A) This distribution is skewed to the right. 
B) This is a binomial distribution. 
C) This is a normal distribution. 
D) This distribution is skewed to the left. 
E) This distribution is bimodal.

Question 19

Circuit boards for wireless telephones are etched in an acid bath,in batches of 100 boards.A sample of seven boards is randomly selected from each lot for inspection.A particular batch contains two defective boards;and x is the number of defective boards in the sample.P(x=0)is ___.

Accepted Answer

A) 0.1315 
B) 0.8642 
C) 0.0042 
D) 0.6134 
E) 0.8134 
A) 0.1315 
B) 0.8642 
C) 0.0042 
D) 0.6134 
E) 0.8134

Question 20

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

Accepted Answer

A) True 
 B)False

Define a random variable in order to differentiate between a discrete distribution and a continuous distribution.

In a binomial experiment,any single trial contains only two possible outcomes and successive trials are dependent.

If x has a binomial distribution with p = .5,then the distribution of x is ___.

The number of defective parts in a lot of 25 parts is an example of ___.

You are offered an investment opportunity.Its outcomes and probabilities are presented in the following table: The mean of this distribution is ___.

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 ___.

A market research team compiled the following discrete probability distribution.In this distribution x represents the number of automobiles owned by a family. The mean (average)value of x is ___.

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

The assumption of independent trials in a binomial distribution is not a great concern if the sample size is smaller than 1/20^th of the population size.

The following graph is a binomial distribution with n = 6: This graph reveals that ___.

Ten policyholders file claims with CareFree Insurance.Three of these claims are fraudulent.Claims manager Earl Evans randomly selects three of the ten claims for thorough investigation.If x represents the number of fraudulent claims in Earl's sample,P(x=1)is ___.

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

The number of defects per 1,000 feet of extruded plastic pipe is best modelled with the ___.

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

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

The probability of selecting 2 male employees and 3 female employees for promotions in a small company would best be modelled with the ___.

A market research team compiled the following discrete probability distribution.In this distribution x represents the number of automobiles owned by a family. Which of the following statements is true?

Circuit boards for wireless telephones are etched in an acid bath,in batches of 100 boards.A sample of seven boards is randomly selected from each lot for inspection.A particular batch contains two defective boards;and x is the number of defective boards in the sample.P(x=0)is ___.

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

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

Define a random variable in order to differentiate between a discrete distribution and a continuous distribution.

In a binomial experiment,any single trial contains only two possible outcomes and successive trials are dependent.

If x has a binomial distribution with p = .5,then the distribution of x is ___.

The number of defective parts in a lot of 25 parts is an example of ___.

You are offered an investment opportunity.Its outcomes and probabilities are presented in the following table: The mean of this distribution is ___.

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 ___.

A market research team compiled the following discrete probability distribution.In this distribution x represents the number of automobiles owned by a family. The mean (average)value of x is ___.

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

The assumption of independent trials in a binomial distribution is not a great concern if the sample size is smaller than 1/20th of the population size.

The following graph is a binomial distribution with n = 6: This graph reveals that ___.

Ten policyholders file claims with CareFree Insurance.Three of these claims are fraudulent.Claims manager Earl Evans randomly selects three of the ten claims for thorough investigation.If x represents the number of fraudulent claims in Earl's sample,P(x=1)is ___.

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

The number of defects per 1,000 feet of extruded plastic pipe is best modelled with the ___.

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

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

The probability of selecting 2 male employees and 3 female employees for promotions in a small company would best be modelled with the ___.

A market research team compiled the following discrete probability distribution.In this distribution x represents the number of automobiles owned by a family. Which of the following statements is true?

Circuit boards for wireless telephones are etched in an acid bath,in batches of 100 boards.A sample of seven boards is randomly selected from each lot for inspection.A particular batch contains two defective boards;and x is the number of defective boards in the sample.P(x=0)is ___.

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

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

The assumption of independent trials in a binomial distribution is not a great concern if the sample size is smaller than 1/20^th of the population size.