Question 1

The standard deviation is the

Accepted Answer

A) variance squared 
B) square root of the sum of the deviations from the mean 
C) same as the expected value 
D) positive square root of the variance 
A) variance squared 
B) square root of the sum of the deviations from the mean 
C) same as the expected value 
D) positive square root of the variance

Question 2

The records of a department store show that 20% of its customers who make a purchase return the merchandise in order to exchange it. In the next six purchases,
a.what is the probability that three customers will return the merchandise for exchange?
b.what is the probability that four customers will return the merchandise for exchange?
c.what is the probability that none of the customers will return the merchandise for exchange?

Accepted Answer

a.0.0819
b

Question 3

Exhibit 5-8
The student body of a large university consists of 60% female students. A random sample of 8 students is selected.
-Refer to Exhibit 5-8. What is the random variable in this experiment?

Accepted Answer

A) the 60% of female students 
B) the random sample of 8 students 
C) the number of female students out of 8 
D) the student body size 
A) the 60% of female students 
B) the random sample of 8 students 
C) the number of female students out of 8 
D) the student body size

Question 4

In a binomial experiment consisting of five trials, the number of different values that x (the number of successes) can assume is

Accepted Answer

A) 2 
B) 5 
C) 6 
D) 10 
A) 2 
B) 5 
C) 6 
D) 10

Question 5

The random variable x has the following probability distribution:
   
a.Is this probability distribution valid? Explain and list the requirements for a valid probability distribution.
b.Calculate the expected value of x.
c.Calculate the variance of x.
d.Calculate the standard deviation of x.

Accepted Answer

a.yes f(x) F1F1F1S1

Question 6

Exhibit 5-8
The student body of a large university consists of 60% female students. A random sample of 8 students is selected.
-Refer to Exhibit 5-8. What is the probability that among the students in the sample at least 6 are male?

Accepted Answer

A) 0.0413 
B) 0.0079 
C) 0.0007 
D) 0.0499 
A) 0.0413 
B) 0.0079 
C) 0.0007 
D) 0.0499

Question 7

Exhibit 5-11
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.
-Refer to Exhibit 5-11. The probability that there are 8 occurrences in ten minutes is

Accepted Answer

A) .0241 
B) .0771 
C) .1126 
D) .9107 
A) .0241 
B) .0771 
C) .1126 
D) .9107

Question 8

Excel's __________ function can be used to compute the expected value of a discrete random variable.

Accepted Answer

A) SUMPRODUCT 
B) AVERAGE 
C) MEDIAN 
D) VAR 
A) SUMPRODUCT 
B) AVERAGE 
C) MEDIAN 
D) VAR

Question 9

Exhibit 5-3
The probability distribution for the number of goals the Lions soccer team makes per game is given below.
  
-Refer to Exhibit 5-3. What is the probability that in a given game the Lions will score at least 1 goal?

Accepted Answer

A) 0.20 
B) 0.55 
C) 1.0 
D) 0.95 
A) 0.20 
B) 0.55 
C) 1.0 
D) 0.95

Question 10

Excel's BINOM.DIST function has how many inputs?

Accepted Answer

A) 2 
B) 3 
C) 4 
D) 5 
A) 2 
B) 3 
C) 4 
D) 5

Question 11

Twenty percent of the applications received for a particular position are rejected. What is the probability that among the next fourteen applications,
a.none will be rejected?
b.all will be rejected?
c.less than 2 will be rejected?
d.more than four will be rejected?
e.Determine the expected number of rejected applications and its variance.

Accepted Answer

a.0.0440
b

Question 12

A production process produces 90% non-defective parts. A sample of 10 parts from the production process is selected.
a.Define the random variable in words for this experiment.
b.What is the probability that the sample will contain 7 non-defective parts?
c.What is the probability that the sample will contain at least 4 defective parts?
d.What is the probability that the sample will contain less than 5 non-defective parts?
e.What is the probability that the sample will contain no defective parts?

Accepted Answer

a.x F1F1F1S1F1F1F10 the numbe

Question 13

In a binomial experiment the probability of success is 0.06. What is the probability of two successes in seven trials?

Accepted Answer

A) 0.0036 
B) 0.06 
C) 0.0554 
D) 0.28 
A) 0.0036 
B) 0.06 
C) 0.0554 
D) 0.28

Question 14

In a Poisson probability problem, the rate of defects is one every two hours. To find the probability of three defects in four hours,

Accepted Answer

A) F1F1F1S1F1F1F10 = 1, x = 4 
B) F1F1F1S1F1F1F10 = 2, x = 3 
C) F1F1F1S1F1F1F10 = 3, x = 4 
D) F1F1F1S1F1F1F10 = 4, x = 3 
A) F1F1F1S1F1F1F10 = 1, x = 4 
B) F1F1F1S1F1F1F10 = 2, x = 3 
C) F1F1F1S1F1F1F10 = 3, x = 4 
D) F1F1F1S1F1F1F10 = 4, x = 3

Question 15

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

Question 16

Exhibit 5-9
Forty percent of all registered voters in a national election are female. A random sample of 5 voters is selected.
-Refer to Exhibit 5-9. The probability that there are no females in the sample is

Accepted Answer

A) 0.0778 
B) 0.7780 
C) 0.5000 
D) 0.3456 
A) 0.0778 
B) 0.7780 
C) 0.5000 
D) 0.3456

Question 17

The Poisson probability distribution is a

Accepted Answer

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

Question 18

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

Accepted Answer

A) Values of the random variable can never be negative. 
B) Negative values of f(x) are allowed as long as F1F1F1S1F1F1F10f(x) F1F1F1S1F1F1F10 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 as long as F1F1F1S1F1F1F10f(x) F1F1F1S1F1F1F10 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 19

Fifty-five percent of the applications received for a particular credit card are accepted. Among the next twelve applications,
a.what is the probability that all will be rejected?
b.what is the probability that all will be accepted?
c.what is the probability that exactly 4 will be accepted?
d.what is the probability that fewer than 3 will be accepted?
e.Determine the expected number and the variance of the accepted applications.

Accepted Answer

a.0.0001
b.0.0008
c.

Question 20

In a southern state, it was revealed that 5% of all automobiles in the state did not pass inspection. Of the next ten automobiles entering the inspection station,
a.what is the probability that none will pass inspection?
b.what is the probability that all will pass inspection?
c.what is the probability that exactly two will not pass inspection?
d.what is the probability that more than three will not pass inspection?
e.what is the probability that fewer than two will not pass inspection?
f. Find the expected number of automobiles not passing inspection.
g. Determine the standard deviation for the number of cars not passing inspection.

Accepted Answer

a.0.0000
b.0.5987
c.

The standard deviation is the

Exhibit 5-8 The student body of a large university consists of 60% female students. A random sample of 8 students is selected. -Refer to Exhibit 5-8. What is the random variable in this experiment?

In a binomial experiment consisting of five trials, the number of different values that x (the number of successes) can assume is

The random variable x has the following probability distribution: a.Is this probability distribution valid? Explain and list the requirements for a valid probability distribution. b.Calculate the expected value of x. c.Calculate the variance of x. d.Calculate the standard deviation of x.

Exhibit 5-8 The student body of a large university consists of 60% female students. A random sample of 8 students is selected. -Refer to Exhibit 5-8. What is the probability that among the students in the sample at least 6 are male?

Excel's __________ function can be used to compute the expected value of a discrete random variable.

Exhibit 5-3 The probability distribution for the number of goals the Lions soccer team makes per game is given below. -Refer to Exhibit 5-3. What is the probability that in a given game the Lions will score at least 1 goal?

Excel's BINOM.DIST function has how many inputs?

In a binomial experiment the probability of success is 0.06. What is the probability of two successes in seven trials?

In a Poisson probability problem, the rate of defects is one every two hours. To find the probability of three defects in four hours,

The binomial probability distribution is most symmetric when

Exhibit 5-9 Forty percent of all registered voters in a national election are female. A random sample of 5 voters is selected. -Refer to Exhibit 5-9. The probability that there are no females in the sample is

The Poisson probability distribution is a

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

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Introduction to Probability

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Comparisons Involving Means, Experimental Design, and Analysis of Variance

Comparisons Involving Proportions and a Test of Independence

Simple Linear Regression

Multiple Regression

Statistical Methods for Quality Control

Time Series Analysis and Forecastng

Filters

Exam 5: Discrete Probability Distributions

The standard deviation is the

Exhibit 5-8 The student body of a large university consists of 60% female students. A random sample of 8 students is selected. -Refer to Exhibit 5-8. What is the random variable in this experiment?

In a binomial experiment consisting of five trials, the number of different values that x (the number of successes) can assume is

The random variable x has the following probability distribution: a.Is this probability distribution valid? Explain and list the requirements for a valid probability distribution. b.Calculate the expected value of x. c.Calculate the variance of x. d.Calculate the standard deviation of x.

Exhibit 5-8 The student body of a large university consists of 60% female students. A random sample of 8 students is selected. -Refer to Exhibit 5-8. What is the probability that among the students in the sample at least 6 are male?

Excel's __________ function can be used to compute the expected value of a discrete random variable.

Exhibit 5-3 The probability distribution for the number of goals the Lions soccer team makes per game is given below. -Refer to Exhibit 5-3. What is the probability that in a given game the Lions will score at least 1 goal?

Excel's BINOM.DIST function has how many inputs?

In a binomial experiment the probability of success is 0.06. What is the probability of two successes in seven trials?

In a Poisson probability problem, the rate of defects is one every two hours. To find the probability of three defects in four hours,

The binomial probability distribution is most symmetric when

Exhibit 5-9 Forty percent of all registered voters in a national election are female. A random sample of 5 voters is selected. -Refer to Exhibit 5-9. The probability that there are no females in the sample is

The Poisson probability distribution is a

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

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Introduction to Probability

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Comparisons Involving Means, Experimental Design, and Analysis of Variance

Comparisons Involving Proportions and a Test of Independence

Simple Linear Regression

Multiple Regression

Statistical Methods for Quality Control

Time Series Analysis and Forecastng

Filters