Discrete Random Variables Test Bank Chapter.5

Introductory Statistics, 10e (Mann)

Chapter 5 Discrete Random Variables and Their Probability Distributions

5.1 Random Variables

1) A random variable is a variable whose value is determined by the:

A) outcome of a random experiment

B) random population

C) random space

D) random subjective probability

Diff: 1

LO: 5.1.0 Demonstrate an understanding of random variables.

Section: 5.1 Random Variables

Question Title: Chapter 05, Testbank Question 001

2) A discrete random variable is a random variable:

A) that can assume any value in one or more intervals

B) that assumes countable variables

C) that is derived from a random population

D) that is determined by random probability

Diff: 1

LO: 5.1.0 Demonstrate an understanding of random variables.

Section: 5.1 Random Variables

Question Title: Chapter 05, Testbank Question 002

3) A continuous random variable is a random variable:

A) that can assume any value in one or more intervals

B) whose set of values is countable

C) that is derived from a random population

D) that is determined by random probability

Diff: 1

LO: 5.1.0 Demonstrate an understanding of random variables.

Section: 5.1 Random Variables

Question Title: Chapter 05, Testbank Question 003

4) Which of the following is not an example of a discrete random variable?

A) The number of days it rains in a month in New York

B) The number of stocks a person owns

C) The number of persons allergic to penicillin

D) The time spent by a physician with a patient

Diff: 1

LO: 5.1.0 Demonstrate an understanding of random variables.

Section: 5.1 Random Variables

Question Title: Chapter 05, Testbank Question 004

5) Which of the following is an example of a discrete random variable?

A) The weight of a box of cookies

B) The length of a window frame

C) The number of horses owned by a farmer

D) The distance from home to work for a worker

Diff: 1

LO: 5.1.0 Demonstrate an understanding of random variables.

Section: 5.1 Random Variables

Question Title: Chapter 05, Testbank Question 005

5.2 Probability Distribution of a Discrete Random Variable

1) The probability distribution of a discrete random variable lists:

A) some of the possible values that the random variable can assume and their corresponding probabilities

B) all the possible values that the random variable can assume and their corresponding probabilities

C) all the possible values that the random variable can assume and their corresponding frequencies

D) some of the possible values that the random variable can assume and their corresponding frequencies

Diff: 1

LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 006

2) For a discrete random variable x, the probability of any value of x is:

A) always greater than 1

B) always less than zero

C) always in the range zero to 1

D) never greater than zero

Diff: 1

LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 007

3) Which of the following is true for the probability of a discrete random variable x?

A) P(x) < 0

B) P(x) < 1

C) P(x) = 2

D) 0 ≤ P(x) ≤ 1

Diff: 1

LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 008

4) For the probability distribution of a discrete random variable x, the sum of the probabilities of all possible values of x must be:

A) equal to zero

B) in the range zero to 1

C) equal to 0.5

D) equal to 1

Diff: 1

LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 009

5) Which of the following is true for the probability distribution of a discrete random variable x?

A)

B)

C)

D)

Diff: 1

LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 010

6) The following table lists the probability distribution of a discrete random variable x:

The probability of x = 3 is:

Diff: 1

LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 011

7) The following table lists the probability distribution of a discrete random variable x:

The probability that x is less than 5 is:

Diff: 1

LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 012

8) The following table lists the probability distribution of a discrete random variable x:

P(x > 3) =

Diff: 1

LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 013

9) The following table lists the probability distribution of a discrete random variable x:

P(x ≤ 5) =

Diff: 1

LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 014

10) The following table lists the probability distribution of a discrete random variable x:

P(x ≥ 4) =

Diff: 1

LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 015

11) The following table lists the probability distribution of a discrete random variable x:

P(2 ≤ x ≤ 5) =

Diff: 1

LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 016

12) The following table lists the probability distribution of a discrete random variable x:

P(x = 7) =

Diff: 1

LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 017

13) The following table lists the probability distribution of a discrete random variable x:

P(x ≤ 4) =

Diff: 1

LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 018

14) The following table lists the probability distribution of a discrete random variable x:

P(x ≥ 6) =

Diff: 1

LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 019

15) The following table lists the probability distribution of a discrete random variable x:

P(3 ≤ x ≤ 6) =

Diff: 1

LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 020

16) The following table lists the probability distribution of a discrete random variable x:

P(x > 6) =

Diff: 1

LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 021

17) The following table lists the probability distribution of a discrete random variable x:

P(x < 4) =

Diff: 1

LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 022

18) The following table lists the probability distribution of the number of refrigerators owned by all families in a city.

The probability that a randomly selected family owns exactly two refrigerators is:

Diff: 1

LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 023

19) The following table lists the probability distribution of the number of refrigerators owned by all families in a city.

The probability that a randomly selected family owns at most one refrigerator is:

Diff: 1

LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 024

20) The following table lists the probability distribution of the number of refrigerators owned by all families in a city.

The probability that a randomly selected family owns at least two refrigerators is:

Diff: 1

LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 025

21) The following table lists the probability distribution of the number of refrigerators owned by all families in a city.

The probability that a randomly selected family owns less than two refrigerators is:

Diff: 1

LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 026

22) The following table lists the probability distribution of the number of refrigerators owned by all families in a city.

The probability that a randomly selected family owns more than one refrigerator is:

Diff: 1

LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 027

23) A survey shows that out of 1,000 households surveyed, 445 own one car, 350 own two cars, 192 own three cars, and 13 own 4 cars. Construct the probability distribution for this data.

Diff: 3

LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 028

24) It costs $5.00 to play a very simple game, in which a dealer gives you one card from a deck of 52 cards. If the card is a heart, spade, or diamond, you lose. If the card is a club other than the queen of clubs, you win $10.50. If the card is the queen of clubs, you win $25.00. The random variable x represents your net gain from playing this game once, or your winnings minus the cost to play. What is the mean of x, rounded to the nearest penny?

Diff: 3

LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 029

25) A survey of 1,000 households produces the following probability distribution:

Is this a valid probability distribution?

A) Yes

B) No

Diff: 3

LO: 5.2.0 Demonstrate an understanding of the probability distribution of a discrete random variable.

Section: 5.2 Probability Distribution of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 030

5.3 Mean and Standard Deviation of a Discrete Random Variable

1) The mean of a discrete random variable is the mean of its:

A) frequency distribution

B) percentage distribution

C) probability distribution

D) second and third quartiles

Diff: 1

LO: 5.3.0 Demonstrate an understanding of the mean and standard deviation of a discrete random variable.

Section: 5.3 Mean and Standard Deviation of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 031

2) The mean of a discrete random variable is its:

A) interquartile range

B) expected value

C) second quartile

D) upper hinge

Diff: 1

LO: 5.3.0 Demonstrate an understanding of the mean and standard deviation of a discrete random variable.

Section: 5.3 Mean and Standard Deviation of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 032

3) The formula used to obtain the mean of a discrete random variable is:

A)

B)

C)

D)

Diff: 1

LO: 5.3.0 Demonstrate an understanding of the mean and standard deviation of a discrete random variable.

Section: 5.3 Mean and Standard Deviation of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 033

4) The standard deviation of a discrete random variable is the standard deviation of its:

A) frequency distribution

B) percentage distribution

C) probability distribution

D) first and fourth quartiles

Diff: 1

LO: 5.3.0 Demonstrate an understanding of the mean and standard deviation of a discrete random variable.

Section: 5.3 Mean and Standard Deviation of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 034

5) The following table lists the probability distribution of a discrete random variable x:

The mean of the random variable x is:

Diff: 1

LO: 5.3.0 Demonstrate an understanding of the mean and standard deviation of a discrete random variable.

Section: 5.3 Mean and Standard Deviation of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 035

6) The following table lists the probability distribution of a discrete random variable x:

The standard deviation of the random variable x, rounded to three decimal places, is:

Diff: 2

LO: 5.3.0 Demonstrate an understanding of the mean and standard deviation of a discrete random variable.

Section: 5.3 Mean and Standard Deviation of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 036

7) The following table lists the probability distribution of a discrete random variable x:

The mean of the random variable x is:

Diff: 2

LO: 5.3.0 Demonstrate an understanding of the mean and standard deviation of a discrete random variable.

Section: 5.3 Mean and Standard Deviation of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 037

8) The following table lists the probability distribution of a discrete random variable x:

The standard deviation of the random variable x, rounded to three decimal places, is:

Diff: 2

LO: 5.3.0 Demonstrate an understanding of the mean and standard deviation of a discrete random variable.

Section: 5.3 Mean and Standard Deviation of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 038

9) The following table lists the probability distribution of a discrete random variable x:

The mean of the random variable x is:

Diff: 1

LO: 5.3.0 Demonstrate an understanding of the mean and standard deviation of a discrete random variable.

Section: 5.3 Mean and Standard Deviation of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 039

10) The following table lists the probability distribution of a discrete random variable x:

The standard deviation of the random variable x, round to three decimal places, is:

Diff: 2

LO: 5.3.0 Demonstrate an understanding of the mean and standard deviation of a discrete random variable.

Section: 5.3 Mean and Standard Deviation of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 040

11) The following table lists the probability distribution of the number of HD-TVs owned by all families in a city.

The mean number of HD-TVs owned by these families is:

Diff: 1

LO: 5.3.0 Demonstrate an understanding of the mean and standard deviation of a discrete random variable.

Section: 5.3 Mean and Standard Deviation of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 041

12) The following table lists the probability distribution of the number of HD-TVs owned by all families in a city.

The standard deviation of the number of HD-TVs owned by these families, rounded to three decimal places, is:

Diff: 2

LO: 5.3.0 Demonstrate an understanding of the mean and standard deviation of a discrete random variable.

Section: 5.3 Mean and Standard Deviation of a Discrete Random Variable

Question Title: Chapter 05, Testbank Question 042

5.4 The Binomial Probability Distribution

1) A Bernoulli trial is:

A) the trial of a court case

B) a repetition of a binomial experiment

C) a repetition of a probability distribution

D) the trial of a probability distribution

Diff: 1

LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution

Question Title: Chapter 05, Testbank Question 043

2) Which of the following is not a condition of the binomial experiment?

A) There are only two trials

B) Each trial has two and only two outcomes

C) p is the probability of success, q is the probability of failure, and p + q = 1

D) The trials are independent

Diff: 1

LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution

Question Title: Chapter 05, Testbank Question 044

3) In binomial experiments, the outcome called a "success" is an outcome:

A) that is always beneficial

B) that is linked to success

C) to which the question refers

D) that is favorable

Diff: 1

LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution

Question Title: Chapter 05, Testbank Question 045

4) The parameters of the binomial probability distribution are:

A) n, p, and q

B) n, p, q, and x

C) n, p, and x

D) n and p

Diff: 1

LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution

Question Title: Chapter 05, Testbank Question 046

5) The binomial probability distribution is symmetric if:

A) p is not equal to 0.50

B) p is equal to 0.50

C) p is less than 0.50

D) p is greater than 0.50

Diff: 1

LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution

Question Title: Chapter 05, Testbank Question 047

6) The binomial probability distribution is right-skewed if:

A) p is not equal to 0.50

B) p is equal to 0.50

C) p is less than 0.50

D) p is greater than 0.50

Diff: 1

LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution

Question Title: Chapter 05, Testbank Question 048

7) The binomial probability distribution is left-skewed if:

A) p is not equal to 0.50

B) p is equal to 0.50

C) p is less than 0.50

D) p is greater than 0.50

Diff: 1

LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution

Question Title: Chapter 05, Testbank Question 049

8) The mean of a binomial distribution is equal to:

A) npq

B) np

C) (npq)2

D)

Diff: 1

LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution

Question Title: Chapter 05, Testbank Question 050

9) The standard deviation of a binomial distribution is equal to:

A) npq

B) np

C) (npq)2

D)

Diff: 1

LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution

Question Title: Chapter 05, Testbank Question 051

10) Which of the following is an example of a binomial experiment?

A) Rolling a die 10 times and observing for a number

B) Selecting five persons and observing whether they are in favor of an issue, against it, or have no opinion

C) Tossing a coin 20 times and observing for a head or tail

D) Drawing three marbles from a box that contains red, blue, and yellow marbles and observing for a color

Diff: 1

LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution

Question Title: Chapter 05, Testbank Question 052

11) Which of the following is not a binomial experiment?

A) Rolling a die 25 times and observing for an even or odd number

B) Randomly selecting 50 items from a production line and observing if they are good or defective

C) Rolling a die 20 times and observing for a number that is less than or equal to 4 or greater than 4

D) Selecting 50 adults and observing if they are in favor of an issue, against it, or have no opinion

Diff: 1

LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution

Question Title: Chapter 05, Testbank Question 053

12) Eight percent of all college graduates hired by companies stay with the same company for more than five years. The probability, rounded to four decimal places, that in a random sample of 14 such college graduates hired recently by companies, exactly 2 will stay with the same company for more than five years is:

Diff: 2

LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution

Question Title: Chapter 05, Testbank Question 054

13) Thirty-two percent of adults did not visit their physicians' offices last year. The probability, rounded to four decimal places, that in a random sample of 12 adults, exactly 3 will say they did not visit their physicians' offices last year is:

Diff: 2

LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution

Question Title: Chapter 05, Testbank Question 055

14) Forty-four percent of customers who visit a department store make a purchase. The probability, rounded to four decimal places, that in a random sample of 10 customers who will visit this department store, exactly 4 will make a purchase is:

Diff: 2

LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution

Question Title: Chapter 05, Testbank Question 056

15) Five percent of all credit card holders eventually become delinquent. The probability, rounded to four decimal places, that in a random sample of 17 credit card holders, exactly 4 will become delinquent is:

Diff: 2

LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution

Question Title: Chapter 05, Testbank Question 057

16) Sixty percent of all children in a school do not have cavities. The probability, rounded to four decimal places, that in a random sample of 9 children selected from this school, at least 7 do not have cavities is:

Diff: 2

LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution

Question Title: Chapter 05, Testbank Question 058

17) Thirty percent of law students who sit for a bar exam pass it the first time. The probability, rounded to four decimal places, that in a random sample of 15 law students who will sit for the bar examination, at most 5 will pass it the first time is:

Diff: 2

LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution

Question Title: Chapter 05, Testbank Question 059

18) 28% of adults did not visit their physicians' offices last year. Let x be the number of adults in a random sample of 32 adults who did not visit their physicians' offices last year. The mean and standard deviation of the probability distribution of x, rounded to two decimal places, are:

A) Part A: The mean is 8.96.

Part B: The standard deviation is 2.54.

B) Part A: The mean is 9.68.

Part B: The standard deviation is 2.54.

C) Part A: The mean is 9.68.

Part B: The standard deviation is 2.39.

D) Part A: The mean is 8.96.

Part B: The standard deviation is 2.39.

Diff: 1

LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution

Question Title: Chapter 05, Testbank Question 060

19) 58% of children in a school do not have cavities. Let x be the number of children in a random sample of 91 children selected from this school who do not have cavities. The mean and standard deviation of the probability distribution of x, rounded to two decimal places, are:

A) The mean is 52.78.

The standard deviation is 4.71.

B) The mean is 48.56.

The standard deviation is 4.71.

C) The mean is 48.56.

The standard deviation is 5.13.

D) The mean is 52.78.

The standard deviation is 5.13.

Diff: 1

LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution

Question Title: Chapter 05, Testbank Question 061

20) All 14 of the orangutans at a certain zoo contract a very serious disease which claims 75% of its victims (if an orangutan contracts the disease, the probability that it will die is 0.75). What is the probability, rounded to four decimal places, that exactly 3 of the orangutans at this zoo will survive?

Diff: 2

LO: 5.4.0 Demonstrate an understanding of the binomial probability distribution.

Section: 5.4 The Binomial Probability Distribution

Question Title: Chapter 05, Testbank Question 062

5.5 The Hypergeometric Probability Distribution

1) The hypergeometric probability distribution can be used whenever:

A) a sample is drawn at random with replacement

B) successive trials are independent of each other

C) the probability of two outcomes remains constant

D) the population is finite and sampling occurs without replacement

Diff: 1

LO: 5.5.0 Demonstrate an understanding of the hypergeometric probability distribution.

Section: 5.5 The Hypergeometric Probability Distribution

Question Title: Chapter 05, Testbank Question 063

2) Let N = 11, r = 3, and n = 8. Using the hypergeometric probability distribution formula, find (Round your answer to four decimal places.)

Diff: 2

LO: 5.5.0 Demonstrate an understanding of the hypergeometric probability distribution.

Section: 5.5 The Hypergeometric Probability Distribution

Question Title: Chapter 05, Testbank Question 064

3) Let N = 10, r = 6, and n = 3. Using the hypergeometric probability distribution formula, find P(x = 0). (Round your answer to four decimal places.)

Diff: 2

LO: 5.5.0 Demonstrate an understanding of the hypergeometric probability distribution.

Section: 5.5 The Hypergeometric Probability Distribution

Question Title: Chapter 05, Testbank Question 065

4) Let N = 11, r = 6, and n = 3. Using the hypergeometric probability distribution formula, find (Round your answer to four decimal places.)

Diff: 3

LO: 5.5.0 Demonstrate an understanding of the hypergeometric probability distribution.

Section: 5.5 The Hypergeometric Probability Distribution

Question Title: Chapter 05, Testbank Question 066

5.6 The Poisson Probability Distribution

1) Which of the following is not a condition to apply the Poisson probability distribution?

A) x is a discrete random variable

B) There are n identical occurrences

C) The occurrences are random

D) The occurrences are independent

Diff: 1

LO: 5.6.0 Demonstrate an understanding of the Poisson probability distribution.

Section: 5.6 The Poisson Probability Distribution

Question Title: Chapter 05, Testbank Question 067

2) The parameter(s) of the Poisson probability distribution is(are):

A) n, x, and λ

B) n and λ

C) λ

D) λ and x

Diff: 1

LO: 5.6.0 Demonstrate an understanding of the Poisson probability distribution.

Section: 5.6 The Poisson Probability Distribution

Question Title: Chapter 05, Testbank Question 068

3) For λ = 5.2, the probability of x = 7, rounded to four decimal places, is:

Diff: 2

LO: 5.6.0 Demonstrate an understanding of the Poisson probability distribution.

Section: 5.6 The Poisson Probability Distribution

Question Title: Chapter 05, Testbank Question 069

4) For λ = 3.9, the probability of P(x < 3), rounded to four decimal places, is:

Diff: 2

LO: 5.6.0 Demonstrate an understanding of the Poisson probability distribution.

Section: 5.6 The Poisson Probability Distribution

Question Title: Chapter 05, Testbank Question 070

5) For λ = 3.9, the probability of P(x > 2), rounded to four decimal places, is:

Diff: 2

LO: 5.6.0 Demonstrate an understanding of the Poisson probability distribution.

Section: 5.6 The Poisson Probability Distribution

Question Title: Chapter 05, Testbank Question 071

6) A manufacturer packages bolts in boxes containing 100 each. Each box of 100 bolts contains, on average, 2 defective bolts. The quality control staff randomly selects a box at the end of the day from an entire production run. What is the probability, rounded to four decimal places, that the box will contain exactly 6 defective bolts?

Diff: 2

LO: 5.6.0 Demonstrate an understanding of the Poisson probability distribution.

Section: 5.6 The Poisson Probability Distribution

Question Title: Chapter 05, Testbank Question 072

7) A manufacturer packages bolts in boxes containing 100 each. Each box of 100 bolts contains, on average, 6 defective bolts. The quality control staff randomly selects a box at the end of the day from an entire production run. What is the probability, rounded to four decimal places, that the box will contain at most 6 defective bolts?

Diff: 2

LO: 5.6.0 Demonstrate an understanding of the Poisson probability distribution.

Section: 5.6 The Poisson Probability Distribution

Question Title: Chapter 05, Testbank Question 073

8) A manufacturer packages bolts in boxes containing 100 each. Each box of 100 bolts contains, on average, 2 defective bolts. The quality control staff randomly selects a box at the end of the day from an entire production run. What is the probability, rounded to four decimal places, that the box will contain less than 7 defective bolts?

Diff: 2

LO: 5.6.0 Demonstrate an understanding of the Poisson probability distribution.

Section: 5.6 The Poisson Probability Distribution

Question Title: Chapter 05, Testbank Question 074

9) Historical data indicates that Rickenbacker Airlines receives an average of 2.5 complaints per day. What is the probability, rounded to four decimal places, that on a given day, Rickenbacker Airlines will receive exactly 5 complaints?

Diff: 2

LO: 5.6.0 Demonstrate an understanding of the Poisson probability distribution.

Section: 5.6 The Poisson Probability Distribution

Question Title: Chapter 05, Testbank Question 075

10) Historical data indicates that Rickenbacker Airlines receives an average of 2.0 complaints per day. What is the probability, rounded to four decimal places, that on a given day, Rickenbacker Airlines will receive at least 6 complaints?

Diff: 2

LO: 5.6.0 Demonstrate an understanding of the Poisson probability distribution.

Section: 5.6 The Poisson Probability Distribution

Question Title: Chapter 05, Testbank Question 076

11) Historical data indicates that Rickenbacker Airlines receives an average of 2.3 complaints per day. What is the probability, rounded to four decimal places, that on a given day, Rickenbacker Airlines will receive less than 2 complaints?

Diff: 2

LO: 5.6.0 Demonstrate an understanding of the Poisson probability distribution.

Section: 5.6 The Poisson Probability Distribution

Question Title: Chapter 05, Testbank Question 077

12) The number of small air bubbles per 3 feet by 3 feet plastic sheet has a Poisson distribution with a mean number of 4.3 per sheet. What percent of these sheets have no air bubbles?

Diff: 2

LO: 5.6.0 Demonstrate an understanding of the Poisson probability distribution.

Section: 5.6 The Poisson Probability Distribution

Question Title: Chapter 05, Testbank Question 078

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