Question 1

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.E) All of the above
F) C) and D)

Question 2

An experiment consists of determining the speed of automobiles on a highway by the use of radar equipment.The random variable in this experiment is a _____ random variable.

Accepted Answer

A)   discrete
B)   continuous
C)   mixed type
D)   multivariateE) A) and D)
F) All of the above

Question 3

Random variable x has the probability function: f(x)  = x/6 for x = 1,2 or 3.The expected value of x is

Accepted Answer

A)   0.333.
B)   0.500.
C)   2.000.
D)   2.333.E) A) and B)
F) B) and C)

Question 4

The probability distribution for the daily sales at Michael's Co.is given below.  ​ The probability of having sales of at least $50,000 is

Accepted Answer

A)   0.5
B)   0.10.
C)   0.30.
D)   0.90.E) None of the above
F) B) and C)

Question 5

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)   HypergeometricE) B) and D)
F) A) and B)

Question 6

The probability distribution for the number of goals the Lions soccer team makes per game is given below.  ​ What is the probability that in a given game the Lions do not score more than 2 goals?

Accepted Answer

A)   0.20
B)   0.50
C)   1.0
D)   0.70E) All of the above
F) A) and B)

Question 7

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.E) A) and B)
F) A) and C)

Question 8

The expected value of a discrete random variable

Accepted Answer

A)   is the most likely or highest probability value for the random variable.
B)   will always be one of the values x can take on, although it may not be the highest probability value for the random variable.
C)   is the average value for the random variable over many repeats of the experiment.
D)   is the value it is expected to assume in the next trial.E) C) and D)
F) A) and B)

Question 9

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 exactly one day is

Accepted Answer

A)   0.880.
B)   0.038.
C)   0.040.
D)   0.960.E) None of the above
F) All of the above

Question 10

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.E) None of the above
F) C) and D)

Question 11

Oriental Reproductions, Inc.is a company that produces handmade carpets with oriental designs.The production records show that the monthly production has ranged from 1 to 5 carpets.The production levels and their respective probabilities are shown below.  The expected monthly production level is

Accepted Answer

A)   1.00.
B)   4.00.
C)   3.00.
D)   3.84.E) A) and B)
F) B) and D)

Question 12

Twenty percent of the students in a class of 400 are planning to go to graduate school.The standard deviation of this binomial distribution is

Accepted Answer

A)   20.
B)   64.
C)   8.
D)   40.E) A) and C)
F) None of the above

Question 13

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.E) None of the above
F) B) and C)

Question 14

Consider the probability distribution below.  ​ The expected value of x equals

Accepted Answer

A)   23.
B)   25.
C)   30.
D)   100.E) A) and D)
F) All of the above

Question 15

Roth is a computer-consulting firm.The number of new clients that they have obtained each month has ranged from 0 to 6.The number of new clients has the probability distribution that is shown below.  ​ The variance is

Accepted Answer

A)   1.45.
B)   2.09.
C)   3.1.
D)   9.61.E) B) and D)
F) C) and D)

Question 16

A binomial probability distribution with p = .3 is​

Accepted Answer

A)   ​negatively skewed.
B)   ​symmetric.
C)   ​positively skewed.
D)   ​multi-modal.E) A) and D)
F) A) and C)

Question 17

The Poisson probability distribution is used with _____ random variable.

Accepted Answer

A)   a continuous
B)   a discrete
C)   either a continuous or discrete
D)   anyE) A) and C)
F) C) and D)

Question 18

The Poisson probability distribution is a _____ probability distribution.

Accepted Answer

A)   continuous
B)   discrete
C)   uniform
D)   normalE) All of the above
F) B) and C)

Question 19

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)   0.8936E) C) and D)
F) A) and D)

Question 20

A sample of 2,500 people was asked how many cups of coffee they drink in the morning.You are given the following sample information.  ​ The variance of the number of cups of coffee is

Accepted Answer

A)   1.06.
B)   1.03.
C)   2.25.
D)   1.24.E) A) and B)
F) None of the above

Exam 5: Discrete Probability Distributions

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

Correct Answer
verified

Oriental Reproductions, Inc.is a company that produces handmade carpets with oriental designs.The production records show that the monthly production has ranged from 1 to 5 carpets.The production levels and their respective probabilities are shown below. The expected monthly production level is

Correct Answer
verified

A binomial probability distribution with p = .3 is

Correct Answer
verified

Roth is a computer-consulting firm.The number of new clients that they have obtained each month has ranged from 0 to 6.The number of new clients has the probability distribution that is shown below. The variance is

Correct Answer
verified

Twenty percent of the students in a class of 400 are planning to go to graduate school.The standard deviation of this binomial distribution is

Correct Answer
verified

Correct Answer
verified

A sample of 2,500 people was asked how many cups of coffee they drink in the morning.You are given the following sample information. The variance of the number of cups of coffee is

Correct Answer
verified

The binomial probability distribution is most symmetric when

Correct Answer
verified

An experiment consists of determining the speed of automobiles on a highway by the use of radar equipment.The random variable in this experiment is a _____ random variable.

Correct Answer
verified

The Poisson probability distribution is a _____ probability distribution.

Correct Answer
verified

Consider the probability distribution below. The expected value of x equals

Correct Answer
verified

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

Correct Answer
verified

The probability distribution for the daily sales at Michael's Co.is given below. The probability of having sales of at least $50,000 is

Correct Answer
verified

Random variable x has the probability function: f(x) = x/6 for x = 1,2 or 3.The expected value of x is

Correct Answer
verified

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 exactly one day is

Correct Answer
verified

The Poisson probability distribution is used with _____ random variable.

Correct Answer
verified

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?

Correct Answer
verified

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

Correct Answer
verified

The expected value of a discrete random variable

Correct Answer
verified

The probability distribution for the number of goals the Lions soccer team makes per game is given below. What is the probability that in a given game the Lions do not score more than 2 goals?

Correct Answer
verified

Exam 5: Discrete Probability Distributions

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

Correct AnswerverifiedShow Answer

Oriental Reproductions, Inc.is a company that produces handmade carpets with oriental designs.The production records show that the monthly production has ranged from 1 to 5 carpets.The production levels and their respective probabilities are shown below. The expected monthly production level is

Correct AnswerverifiedShow Answer

A binomial probability distribution with p = .3 is​

Correct AnswerverifiedShow Answer

Roth is a computer-consulting firm.The number of new clients that they have obtained each month has ranged from 0 to 6.The number of new clients has the probability distribution that is shown below. ​ The variance is

Correct AnswerverifiedShow Answer

Twenty percent of the students in a class of 400 are planning to go to graduate school.The standard deviation of this binomial distribution is

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

A sample of 2,500 people was asked how many cups of coffee they drink in the morning.You are given the following sample information. ​ The variance of the number of cups of coffee is

Correct AnswerverifiedShow Answer

The binomial probability distribution is most symmetric when​

Correct AnswerverifiedShow Answer

An experiment consists of determining the speed of automobiles on a highway by the use of radar equipment.The random variable in this experiment is a _____ random variable.

Correct AnswerverifiedShow Answer

The Poisson probability distribution is a _____ probability distribution.

Correct AnswerverifiedShow Answer

Consider the probability distribution below. ​ The expected value of x equals

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

The probability distribution for the daily sales at Michael's Co.is given below. ​ The probability of having sales of at least $50,000 is

Correct AnswerverifiedShow Answer

Random variable x has the probability function: f(x) = x/6 for x = 1,2 or 3.The expected value of x is

Correct AnswerverifiedShow Answer

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 exactly one day is

Correct AnswerverifiedShow Answer

The Poisson probability distribution is used with _____ random variable.

Correct AnswerverifiedShow Answer

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?

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

The expected value of a discrete random variable

Correct AnswerverifiedShow Answer

The probability distribution for the number of goals the Lions soccer team makes per game is given below. ​ What is the probability that in a given game the Lions do not score more than 2 goals?

Correct AnswerverifiedShow Answer

Correct Answer
verified

Correct Answer
verified

A binomial probability distribution with p = .3 is

Correct Answer
verified

Roth is a computer-consulting firm.The number of new clients that they have obtained each month has ranged from 0 to 6.The number of new clients has the probability distribution that is shown below. The variance is

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

A sample of 2,500 people was asked how many cups of coffee they drink in the morning.You are given the following sample information. The variance of the number of cups of coffee is

Correct Answer
verified

The binomial probability distribution is most symmetric when

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Consider the probability distribution below. The expected value of x equals

Correct Answer
verified

Correct Answer
verified

The probability distribution for the daily sales at Michael's Co.is given below. The probability of having sales of at least $50,000 is

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

The probability distribution for the number of goals the Lions soccer team makes per game is given below. What is the probability that in a given game the Lions do not score more than 2 goals?

Correct Answer
verified