Question 1

The number of customers that enter a store during one day is an example of

Accepted Answer

A)  a continuous random variable. 
B)  a discrete random variable. 
C)  either a continuous or a discrete random variable, depending on whether odd or even number of the customers enter. 
D)  either a continuous or a discrete random variable, depending on the gender of the customers. 
A)  a continuous random variable. 
B)  a discrete random variable. 
C)  either a continuous or a discrete random variable, depending on whether odd or even number of the customers enter. 
D)  either a continuous or a discrete random variable, depending on the gender of the customers. B

Question 2

The probability distribution for the daily sales at Michael's Co. is given below. ​   ​
The expected daily sales are

Accepted Answer

A)  $53,000. 
B)  $55,000. 
C)  $50,000. 
D)  $60,000. 
A)  $53,000. 
B)  $55,000. 
C)  $50,000. 
D)  $60,000. A

Question 3

A production process produces 3% 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)  0.9918 
B)  0.0082 
C)  0.0003 
D)  0.9997 
A)  0.9918 
B)  0.0082 
C)  0.0003 
D)  0.9997 B

Question 4

Which of the following is a required condition for a discrete probability function?

Accepted Answer

A)  ∑f(x) = 0 for all values of x 
B)  f(x)   1 for all values of x 
C)  f(x) < 0 for all values of x 
D)  ∑f(x) = 1 for all values of x 
A)  ∑f(x) = 0 for all values of x 
B)  f(x)   1 for all values of x 
C)  f(x) < 0 for all values of x 
D)  ∑f(x) = 1 for all values of x

Question 5

The probability that Pete will catch fish when he goes fishing is .88. Pete is going to fish 3 days next week. Define the random variable x to be the number of days Pete catches fish. The probability that Pete will catch fish on one day or less is

Accepted Answer

A)  0.880. 
B)  0.038. 
C)  0.040. 
D)  0.960. 
A)  0.880. 
B)  0.038. 
C)  0.040. 
D)  0.960.

Question 6

Which of the following is not a property of a binomial experiment?

Accepted Answer

A)  The experiment consists of a sequence of n identical trials. 
B)  Each outcome can be referred to as a success or a failure. 
C)  The probabilities of the two outcomes can change from one trial to the next. 
D)  The trials are independent. 
A)  The experiment consists of a sequence of n identical trials. 
B)  Each outcome can be referred to as a success or a failure. 
C)  The probabilities of the two outcomes can change from one trial to the next. 
D)  The trials are independent.

Question 7

The weight of an object is an example of

Accepted Answer

A)  a continuous random variable. 
B)  a discrete random variable. 
C)  either a continuous or a discrete random variable, depending on the nature of the object. 
D)  either a continuous or a discrete random variable, depending on the unit of measurement. 
A)  a continuous random variable. 
B)  a discrete random variable. 
C)  either a continuous or a discrete random variable, depending on the nature of the object. 
D)  either a continuous or a discrete random variable, depending on the unit of measurement.

Question 8

The student body of a large university consists of 60% female students. A random sample of 8 students is selected. What is the probability that among the students in the sample at least 6 are female?

Accepted Answer

A)  0.3154 
B)  0.6846 
C)  0.0168 
D)  0.8936 
A)  0.3154 
B)  0.6846 
C)  0.0168 
D)  0.8936

Question 9

A numerical description of the outcome of an experiment is called a

Accepted Answer

A)  descriptive statistic. 
B)  probability function. 
C)  variance. 
D)  random variable. 
A)  descriptive statistic. 
B)  probability function. 
C)  variance. 
D)  random variable.

Question 10

In a binomial experiment the probability of success is 0.16. What is the probability of two successes in seven trials?

Accepted Answer

A)  0.7752 
B)  0.0866 
C)  0.2248 
D)  0.9134 
A)  0.7752 
B)  0.0866 
C)  0.2248 
D)  0.9134

Question 11

The student body of a large university consists of 65% female students. A random sample of 8 students is selected. What is the probability that among the students in the sample at least 6 are male?

Accepted Answer

A)  0.0036 
B)  0.1691 
C)  0.4278 
D)  0.0253 
A)  0.0036 
B)  0.1691 
C)  0.4278 
D)  0.0253

Question 12

In the textile industry, a manufacturer is interested in the number of blemishes or flaws occurring in each 100 feet of material. The probability distribution that has the greatest chance of applying to this situation is the _____ distribution

Accepted Answer

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

Question 13

In a binomial experiment, the probability

Accepted Answer

A)  does not change from trial to trial. 
B)  changes from trial to trial. 
C)  could change from trial to trial, depending on the situation under consideration. 
D)  could change depending on the number of outcomes. 
A)  does not change from trial to trial. 
B)  changes from trial to trial. 
C)  could change from trial to trial, depending on the situation under consideration. 
D)  could change depending on the number of outcomes.

Question 14

Which of the following properties of a binomial experiment is called the stationarity assumption?

Accepted Answer

A)  The experiment consists of n identical trials. 
B)  Two outcomes are possible on each trial. 
C)  The probability of success is the same for each trial. 
D)  The trials are independent. 
A)  The experiment consists of n identical trials. 
B)  Two outcomes are possible on each trial. 
C)  The probability of success is the same for each trial. 
D)  The trials are independent.

Question 15

The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.3. The expected value of the random variable x is

Accepted Answer

A)  2. 
B)  5.3. 
C)  10. 
D)  2.30. 
A)  2. 
B)  5.3. 
C)  10. 
D)  2.30.

Question 16

The Poisson probability distribution is a _____ probability distribution.

Accepted Answer

A)  continuous 
B)  discrete 
C)  uniform 
D)  normal 
A)  continuous 
B)  discrete 
C)  uniform 
D)  normal

Question 17

The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two-time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.3. Which of the following discrete probability distributions' properties are satisfied by random variable x?

Accepted Answer

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

Question 18

A continuous random variable may assume

Accepted Answer

A)  any numerical value in an interval or collection of intervals. 
B)  finite number of values in a collection of intervals. 
C)  an infinite sequence of values. 
D)  only the positive integer values in an interval. 
A)  any numerical value in an interval or collection of intervals. 
B)  finite number of values in a collection of intervals. 
C)  an infinite sequence of values. 
D)  only the positive integer values in an interval.

Question 19

Assume that you have a binomial experiment with p = 0.4 and a sample size of 50. The variance of this distribution is

Accepted Answer

A)  20. 
B)  12. 
C)  3.46. 
D)  2.83. 
A)  20. 
B)  12. 
C)  3.46. 
D)  2.83.

Question 20

Experimental outcomes that are based on measurement scales such as time, weight, and distance can be described by _____ random variables.​

Accepted Answer

A)  ​discrete 
B)  ​continuous 
C)  ​uniform 
D)  ​intermittent 
A)  ​discrete 
B)  ​continuous 
C)  ​uniform 
D)  ​intermittent

The number of customers that enter a store during one day is an example of

The probability distribution for the daily sales at Michael's Co. is given below. The expected daily sales are

A production process produces 3% 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 is a required condition for a discrete probability function?

The probability that Pete will catch fish when he goes fishing is .88. Pete is going to fish 3 days next week. Define the random variable x to be the number of days Pete catches fish. The probability that Pete will catch fish on one day or less is

Which of the following is not a property of a binomial experiment?

The weight of an object is an example of

The student body of a large university consists of 60% female students. A random sample of 8 students is selected. What is the probability that among the students in the sample at least 6 are female?

A numerical description of the outcome of an experiment is called a

In a binomial experiment the probability of success is 0.16. What is the probability of two successes in seven trials?

The student body of a large university consists of 65% female students. A random sample of 8 students is selected. What is the probability that among the students in the sample at least 6 are male?

In the textile industry, a manufacturer is interested in the number of blemishes or flaws occurring in each 100 feet of material. The probability distribution that has the greatest chance of applying to this situation is the _____ distribution

In a binomial experiment, the probability

Which of the following properties of a binomial experiment is called the stationarity assumption?

The Poisson probability distribution is a _____ probability distribution.

A continuous random variable may assume

Assume that you have a binomial experiment with p = 0.4 and a sample size of 50. The variance of this distribution is

Experimental outcomes that are based on measurement scales such as time, weight, and distance can be described by _____ random variables.

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

Comparing Multiple Proportions, Tests of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Decision Analysis

Index Numbers

Statistical Methods for Quality Control

Sample Survey

Filters

Exam 5: Discrete Probability Distributions

The number of customers that enter a store during one day is an example of

The probability distribution for the daily sales at Michael's Co. is given below. ​ ​ The expected daily sales are

A production process produces 3% 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 is a required condition for a discrete probability function?

The probability that Pete will catch fish when he goes fishing is .88. Pete is going to fish 3 days next week. Define the random variable x to be the number of days Pete catches fish. The probability that Pete will catch fish on one day or less is

Which of the following is not a property of a binomial experiment?

The weight of an object is an example of

The student body of a large university consists of 60% female students. A random sample of 8 students is selected. What is the probability that among the students in the sample at least 6 are female?

A numerical description of the outcome of an experiment is called a

In a binomial experiment the probability of success is 0.16. What is the probability of two successes in seven trials?

The student body of a large university consists of 65% female students. A random sample of 8 students is selected. What is the probability that among the students in the sample at least 6 are male?

In the textile industry, a manufacturer is interested in the number of blemishes or flaws occurring in each 100 feet of material. The probability distribution that has the greatest chance of applying to this situation is the _____ distribution

In a binomial experiment, the probability

Which of the following properties of a binomial experiment is called the stationarity assumption?

The Poisson probability distribution is a _____ probability distribution.

A continuous random variable may assume

Assume that you have a binomial experiment with p = 0.4 and a sample size of 50. The variance of this distribution is

Experimental outcomes that are based on measurement scales such as time, weight, and distance can be described by _____ random variables.​

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

Comparing Multiple Proportions, Tests of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Decision Analysis

Index Numbers

Statistical Methods for Quality Control

Sample Survey

Filters

The probability distribution for the daily sales at Michael's Co. is given below. The expected daily sales are

Experimental outcomes that are based on measurement scales such as time, weight, and distance can be described by _____ random variables.