Question 1

Twenty percent of the students in a class of 100 are planning to go to graduate school. The standard deviation of this binomial distribution is _____.

Accepted Answer

A)  20 
B)  16 
C)  4 
D)  2 
A)  20 
B)  16 
C)  4 
D)  2

Question 2

Which of the following is NOT a characteristic of an experiment where the binomial probability distribution is applicable?

Accepted Answer

A)  The experiment has a sequence of n identical trials. 
B)  Exactly two outcomes are possible on each trial. 
C)  The trials are dependent. 
D)  The probabilities of the outcomes do not change from one trial to another. 
A)  The experiment has a sequence of n identical trials. 
B)  Exactly two outcomes are possible on each trial. 
C)  The trials are dependent. 
D)  The probabilities of the outcomes do not change from one trial to another.

Question 3

A production process produces 2% defective parts. A sample of five parts from the production process is selected. What is the probability that the sample contains exactly two defective parts?

Accepted Answer

A)  .0004 
B)  .0038 
C)  .10 
D)  .02 
A)  .0004 
B)  .0038 
C)  .10 
D)  .02

Question 4

Which of the following statements about a discrete random variable and its probability distribution is true?

Accepted Answer

A)  Values of the random variable can never be negative. 
B)  Negative values of f(x) are allowed if ∑f(x) = 1. 
C)  Values of f(x) must be greater than or equal to zero. 
D)  The values of f(x) increase to a maximum point and then decrease. 
A)  Values of the random variable can never be negative. 
B)  Negative values of f(x) are allowed if ∑f(x) = 1. 
C)  Values of f(x) must be greater than or equal to zero. 
D)  The values of f(x) increase to a maximum point and then decrease.

Question 5

Which of the following is(are) required condition(s) for a discrete probability function?

Accepted Answer

A)  ∑f(x) = 0 
B)  f(x) ≥ 1 for all values of x 
C)  f(x) < 0 
D)  None of the answers is correct. 
A)  ∑f(x) = 0 
B)  f(x) ≥ 1 for all values of x 
C)  f(x) < 0 
D)  None of the answers is correct.

Question 6

Variance is _____.

Accepted Answer

A)  a measure of the average, or central value of a random variable 
B)  a measure of the dispersion of a random variable 
C)  the square root of the standard deviation 
D)  the sum of the deviation of data elements from the mean 
A)  a measure of the average, or central value of a random variable 
B)  a measure of the dispersion of a random variable 
C)  the square root of the standard deviation 
D)  the sum of the deviation of data elements from the mean

Question 7

Assume that you have a binomial experiment with p = 0.5 and a sample size of 100. The expected value of this distribution is _____.

Accepted Answer

A)  0.50 
B)  0.30 
C)  50 
D)  Not enough information is given to answer this question. 
A)  0.50 
B)  0.30 
C)  50 
D)  Not enough information is given to answer this question.

Question 8

The binomial probability distribution is most symmetric when _____.

Accepted Answer

A)  n is 30 or greater 
B)  n equals p 
C)  p approaches 1 
D)  p equals 0.5 
A)  n is 30 or greater 
B)  n equals p 
C)  p approaches 1 
D)  p equals 0.5

Twenty percent of the students in a class of 100 are planning to go to graduate school. The standard deviation of this binomial distribution is _____.

Which of the following is NOT a characteristic of an experiment where the binomial probability distribution is applicable?

A production process produces 2% defective parts. A sample of five parts from the production process is selected. What is the probability that the sample contains exactly two defective parts?

Which of the following statements about a discrete random variable and its probability distribution is true?

Which of the following is(are) required condition(s) for a discrete probability function?

Variance is _____.

Assume that you have a binomial experiment with p = 0.5 and a sample size of 100. The expected value of this distribution is _____.

The binomial probability distribution is most symmetric when _____.

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Introduction to Probability

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Tests of Goodness of Fit, Independence, and Multiple Proportions

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Decision Analysis

Sample Survey

Filters

Exam 5: Discrete Probability Distributions

Twenty percent of the students in a class of 100 are planning to go to graduate school. The standard deviation of this binomial distribution is _____.

Which of the following is NOT a characteristic of an experiment where the binomial probability distribution is applicable?

A production process produces 2% defective parts. A sample of five parts from the production process is selected. What is the probability that the sample contains exactly two defective parts?

Which of the following statements about a discrete random variable and its probability distribution is true?

Which of the following is(are) required condition(s) for a discrete probability function?

Variance is _____.

Assume that you have a binomial experiment with p = 0.5 and a sample size of 100. The expected value of this distribution is _____.

The binomial probability distribution is most symmetric when _____.

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Introduction to Probability

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Tests of Goodness of Fit, Independence, and Multiple Proportions

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Decision Analysis

Sample Survey

Filters