Understandable Statistics Concepts and Methods 12th Edition by Charles Henry Brase – Test Bank

Complete Test Bank With Answers

 

 

Sample Questions Posted Below

 

Chapter 5 – The Binomial Probability Distribution and Related Topics

1. Give an example of a discrete random variable.

a. b. c. d. e. The number of inches of rainfall in a county

The number of beverages sold at a lemonade stand

The number of gallons of concrete used at a construction site

The time required for a runner to finish a marathon

The temperature of a pot roast cooking in an oven

ANSWER: b

POINTS: 1

DIFFICULTY: Easy

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: False

LEARNING OBJECTIVES: 13.65

–

Identify a discrete random variable

NOTES: Concept

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 11/5/2013 3:46 AM

2. Give an example of a continuous random variable.

a. b. The number of fish caught by a fishing boat

The number of coins contained in a slot machine

c. d. e. The number of traffic accidents in a city

The number of gallons of water in a reservoir

The number of tables sold at a furniture store

ANSWER: d

POINTS: 1

DIFFICULTY: Easy

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: False

LEARNING OBJECTIVES: 13.66

–

NOTES: Concept

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 3/28/2014 3:09 AM

Identify a continuous random variable

3. Assume that the table below shows the age distribution of nurses in Great Britain in 1851. Make a histogram

for the probability distribution.

Age range (yr) 20–29 30–39 40–49 50–59 60–69 70–79 80+

Midpoint (x) 24.5 34.5 44.5 54.5 64.5 75.5 84.5

Percent of nurses 9.8% 5.6% 19.4% 24.9% 29.3% 9.3% 1.7%

Copyright Cengage Learning. Powered by Cognero. Page 1Chapter 5 – The Binomial Probability Distribution and Related Topics

a.

b.

c.

d.

e.

ANSWER: c

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.67

–

Identify the correct histogram given the data

Copyright Cengage Learning. Powered by Cognero. Page 2Chapter 5 – The Binomial Probability Distribution and Related Topics

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 3/28/2014 3:16 AM

4. What was the age distribution of nurses in Great Britain at the time of Florence Nightingale? Thanks to

Florence Nightingale and the British census of 1851, we have the following information (based on data from

classic text Notes on Nursing, by Florence Nightingale). Note: In 1851 there were 25,466 nurses in Great

Britain. Furthermore, Nightingale made a strict distinction between nurses and domestic servants. Find the

probability that a British nurse selected at random in 1851 would be 70 years of age or older. Round your

answer to nearest thousandth.

Age range (yr) 20–29 30–39 40–49 50–59 60–69 70–79 80+

Midpoint (x) 24.5 34.5 44.5 54.5 64.5 75.5 84.5

Percent of nurses 5.7% 9.7% 19.5% 29.2% 25.0% 9.1% 1.8%

a. 0.091

b. 0

c. 0.109

d. 0.099

e. 0.105

ANSWER: c

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.68

–

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 11/5/2013 3:50 AM

Identify the probability for class boundary or higher

5. Compute the expected age μ of a British nurse in 1851. Assume that the table below shows the age

distribution of nurses in Great Britain in 1851. Round your answer to nearest hundredth.

Age range (yr) 20–29 30–39 40–49 50–59 60–69 70–79 80+

Midpoint (x) 24.5 34.5 44.5 54.5 64.5 75.5 84.5

Percent of nurses 5.7% 9.6% 19.5% 29.1% 24.9% 9.0% 2.2%

a. 54.50

b. 59.50

c. 53.93

d. 53.96

e. 43.96

ANSWER: d

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

Copyright Cengage Learning. Powered by Cognero. Page 3Chapter 5 – The Binomial Probability Distribution and Related Topics

LEARNING OBJECTIVES: 13.69

–

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 3/13/2014 9:02 AM

Compute the expected age m

6. Compute the standard deviation for ages of British nurses in 1851. Assume that the table below shows the

age distribution of nurses in Great Britain in 1851. Round your answer to nearest hundredth.

Age range (yr) 20–29 30–39 40–49 50–59 60–69 70–79 80+

Midpoint (x) 24.5 34.5 44.5 54.5 64.5 75.5 84.5

Percent of nurses 5.8% 9.8% 19.6% 29.1% 24.9% 9.0% 1.8%

a. 13.69

b. 1.53

c. 3.27

d. 53.76

e. 17.25

ANSWER: a

POINTS: 1

DIFFICULTY: Difficult

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.70

–

Identify the standard deviation

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 3/13/2014 9:12 AM

7. The college hiking club is having a fund raiser to buy new equipment for fall and winter outings. The club is

selling Chinese fortune cookies at a price of $3 per cookie. Each cookie contains a piece of paper with a

different number written on it. A random drawing will determine which number is the winner of a dinner for

two at a local Chinese restaurant. The dinner is valued at $35. Since fortune cookies are donated to the club, we

can ignore the cost of the cookies. The club sold 717 cookies before the drawing. Lisa bought 31 cookies. What

is the probability she will win the dinner for two? Write your answer as a fraction in simplest form, if one

exists.

a.

b.

c.

d.

e. none of these choices

ANSWER: c

POINTS: 1

DIFFICULTY: Easy

QUESTION TYPE: Multi-Mode (Multiple choice)

Copyright Cengage Learning. Powered by Cognero. Page 4Chapter 5 – The Binomial Probability Distribution and Related Topics

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.71

–

Find the probability

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 3/28/2014 4:14 AM

8. The college hiking club is having a fund raiser to buy new equipment for fall and winter outings. The club is

selling Chinese fortune cookies at a price of $3 per cookie. Each cookie contains a piece of paper with a

different number written on it. A random drawing will determine which number is the winner of a dinner for

two at a local Chinese restaurant. The dinner is valued at $34. Since fortune cookies are donated to the club, we

can ignore the cost of the cookies. The club sold 721 cookies before the drawing. Lisa bought 17 cookies. Lisa’s

expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What

are Lisa’s expected earnings? Round your answer to the nearest cent.

a. $0.82

b. $2.00

c. $33.20

d. $0.80

e. $34.00

ANSWER: d

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.72

–

Find expected values

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 11/5/2013 4:04 AM

9. The college hiking club is having a fund raiser to buy new equipment for fall and winter outings. The club is

selling Chinese fortune cookies at a price of $3 per cookie. Each cookie contains a piece of paper with a

different number written on it. A random drawing will determine which number is the winner of a dinner for

two at a local Chinese restaurant. The dinner is valued at $39. Since fortune cookies are donated to the club, we

can ignore the cost of the cookies. The club sold 720 cookies before the drawing. Lisa bought 32 cookies. What

is the probability she will not win the dinner for two? Write your answer as a fraction in simplest form, if one

exists.

a.

b.

c.

d.

e. none of these choices

ANSWER: b

POINTS: 1

Copyright Cengage Learning. Powered by Cognero. Page 5Chapter 5 – The Binomial Probability Distribution and Related Topics

DIFFICULTY: Easy

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.71

–

Find the probability

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 3/28/2014 5:24 AM

10. The college hiking club is having a fund raiser to buy new equipment for fall and winter outings. The club is

selling Chinese fortune cookies at a price of $2 per cookie. Each cookie contains a piece of paper with a

different number written on it. A random drawing will determine which number is the winner of a dinner for

two at a local Chinese restaurant. The dinner is valued at $37. Since fortune cookies are donated to the club, we

can ignore the cost of the cookies. The club sold 718 cookies before the drawing. Lisa bought 27 cookies. Lisa’s

expected earnings can be found by multiplying the value of the dinner by the probability that she will win. How

much did she effectively contribute to the hiking club?

a. $23.55

b. $49.41

c. $52.61

d. $25.63

e. $25.61

ANSWER: c

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.73

–

Find out the effective contribution

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 11/5/2013 4:10 AM

11. Jim has a 5-year-old car in reasonably good condition. He wants to take out a $50,000 term (that is, accident

benefit) car insurance policy until the car is 10 years old. Assume that the probability of a car having an

accident in the year in which it is x years old is as follows:

x

=

age 5 6 7 8 9

P(accident) 0.01182 0.01282 0.01386 0.01513 0.01602

Jim is applying to a car insurance company for his car insurance policy. Using the probabilities that the car will

have an accident in its 5th, 6th, 7th, 8th, or 9th year, and the $50,000 accident benefit, what is the expected loss

to Car Insurance Company for the respective years? Round your answers to the nearest dollar.

a. b. c. d. e. $591, $641, $693, $757, $801

$581, $641, $693, $747, $801

$591, $646, $693, $747, $801

$581, $646, $693, $757, $801

$591, $641, $693, $747, $801

Copyright Cengage Learning. Powered by Cognero. Page 6Chapter 5 – The Binomial Probability Distribution and Related Topics

ANSWER: a

POINTS: 1

DIFFICULTY: Easy

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.74

–

Note the expected loss

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 11/5/2013 4:36 AM

12. Jim has a 5-year-old car in reasonably good condition. He wants to take out a $20,000 term (that is, accident

benefit) car insurance policy until the car is 10 years old. Assume that the probability of a car having an

accident in the year in which it is x years old is as follows:

x

=

age 5 6 7 8 9

P(accident) 0.01182 0.01282 0.01386 0.01602 0.01513

Jim is applying to a car insurance company for his term insurance policy. What would be the total expected loss

to the insurance company over the years 5 through 9? Round your answer to the nearest dollar.

a. $1390

b. $1383

c. $1388

d. $1393

e. $1386

ANSWER: d

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.75

–

What would be the total expected loss

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 11/5/2013 4:38 AM

13. Jim has a 5-year-old car in reasonably good condition. He wants to take out a $20,000 term (that is, accident

benefit) car insurance policy until the car is 10 years old. Assume that the probability of a car having an

accident in the year in which it is x years old is as follows:

x

=

age 5 6 7 8 9

P(accident) 0.01191 0.01292 0.01396 0.01503 0.01613

Jim is applying to a car insurance company for his car insurance policy. If the car insurance company wants to

make a profit of $900 above the expected total losses, how much should it charge for the policy? Round your

answer to the nearest dollar.

a. $2297

b. $2299

c. $2301

Copyright Cengage Learning. Powered by Cognero. Page 7Chapter 5 – The Binomial Probability Distribution and Related Topics

d. $2294

e. $2292

ANSWER: b

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.76

–

What would be the charge

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 11/5/2013 4:41 AM

14. Jim has a 5-year-old car in reasonably good condition. He wants to take out a $20,000 term (that is, accident

benefit) car insurance policy until the car is 10 years old. Assume that the probability of a car having an

accident in the year in which it is x years old is as follows:

x

=

age 5 6 7 8 9

P(accident) 0.01182 0.01282 0.01386 0.01513 0.01602

Jim is applying to a car insurance company for his car insurance policy. If the car insurance company charges

$7000 for the policy, how much profit does the company expect to make? Round your answer to the nearest

dollar.

a. $5604

b. $5609

c. $5602

d. $5611

e. $5607

ANSWER: e

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.77

–

Note the expected profit

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 11/5/2013 4:43 AM

15. Jim has a 5-year-old car in reasonably good condition. He wants to take out a $30,000 term (that is, accident

benefit) car insurance policy until the car is 10 years old. Assume that the probability of a car having an

accident in the year in which it is x years old is as follows:

x

=

age 5 6 7 8 9

P(accident) 0.01191 0.01292 0.01396 0.01503 0.01613

Jim is applying to a car insurance company for his car insurance policy. The expected loss to the car insurance

company for the 5th, 6th, 7th, 8th, and 9th years would be $357.30, $387.60, $418.80, $450.90 or $483.90

respectively. What would be the total expected loss to the car insurance company over the years 5 through 9?

Copyright Cengage Learning. Powered by Cognero. Page 8Chapter 5 – The Binomial Probability Distribution and Related Topics

Round your answer to the nearest dollar.

a. $2097

b. $2098

c. $2099

d. $2100

e. $2096

ANSWER: c

POINTS: 1

DIFFICULTY: Easy

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.75

–

What would be the total expected loss

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 11/5/2013 4:45 AM

16. Jim has a 5-year-old car in reasonably good condition. He wants to take out a $20,000 term (that is, accident

benefit) car insurance policy until the car is 10 years old. Assume that the probability of a car having an

accident in the year in which it is x years old is as follows:

x

=

age 5 6 7 8 9

P(accident) 0.01182 0.01282 0.01386 0.01513 0.01602

Jim is applying to a car insurance company for his car insurance policy. If the car insurance company wants to

make a profit of $700 above the expected total losses of $1393, how much should it charge for the policy?

a. $701

b. $693

c. $713

d. $703

e. $705

ANSWER: d

POINTS: 1

DIFFICULTY: Easy

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.76

–

What would be the charge

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 3/13/2014 8:54 AM

17. Jim has a 5-year-old car in reasonably good condition. He wants to take out a $60,000 term (that is, accident

benefit) car insurance policy until the car is 10 years old. Assume that the probability of a car having an

accident in the year in which it is x years old is as follows:

x

=

age 5 6 7 8 9

Copyright Cengage Learning. Powered by Cognero. Page 9Chapter 5 – The Binomial Probability Distribution and Related Topics

P(accident) 0.01191 0.01292 0.01396 0.01503 0.01613

Jim is applying to a car insurance company for his car insurance policy. If the car insurance company charges

$6000 for the policy and the expected total loss is $4197, how much profit does the company expect to make?

Round your answer to the nearest dollar.

a. $1803

b. $1806

c. $1801

d. $1798

e. $1804

ANSWER: a

POINTS: 1

DIFFICULTY: Easy

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.77

–

Note the expected profit

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 3/13/2014 9:18 AM

18. A computer repair shop has two work centers. The first center examines the computer to see what is wrong

and the second center repairs the computer. Let x1 and x2 be random variables representing the lengths of time

in minutes to examine a computer (x1) and to repair a computer (x2). Assume x1 and x2 are independent random

variables. Long-term history has shown the following mean and standard deviation for the two work centers:

Examine computer, x1 : µ1 = 28.1 minutes; σ1 = 7.5 minutes

Repair computer, x2 : µ2 = 90.7 minutes; σ2 = 15.3 minutes

Let W=x1+x2 be a random variable representing the total time to examine and repair the computer. Compute the

mean and standard deviation of W. Round your answer to the nearest tenth.

a.

b.

c.

d.

e.

ANSWER: b

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.78

–

Compute mean and standard deviation

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 3/28/2014 6:26 AM

Copyright Cengage Learning. Powered by Cognero. Page 10Chapter 5 – The Binomial Probability Distribution and Related Topics

19. A computer repair shop has two work centers. The first center examines the computer to see what is wrong

and the second center repairs the computer. Let and be random variables representing the lengths of time

in minutes to examine a computer ( ) and to repair a computer ( ). Assume and are independent

random variables. Long-term history has shown the following mean and standard deviation for the two work

centers:

Examine computer, : = 27.3 minutes; = 7.5 minutes

Repair computer, : = 90.1 minutes; = 15.3 minutes

Let be a random variable representing the total time to examine and repair the computer. Suppose it

costs $1.80 per minute to examine the computer and $2.83 per minute to repair the computer. Then

is a random variable representing the service charges (without parts). Compute the mean and

standard deviation of V. Round your answer to the nearest tenth.

a.

b.

c.

d.

e.

ANSWER: c

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.78

–

Compute mean and standard deviation

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 11/6/2013 12:51 AM

20. A computer repair shop has two work centers. The first center examines the computer to see what is wrong

and the second center repairs the computer. Let x1 and x2 be random variables representing the lengths of time

in minutes to examine a computer (x1) and to repair a computer (x2). Assume x1 and x2 are independent random

variables. Long-term history has shown the following mean and standard deviation for the two work centers:

Examine computer, x1 : µ1 = 27.2 minutes; σ1= 7.6 minutes

Repair computer, x2 : µ2 = 90.6 minutes; σ2= 15.5 minutes

Let W=x1 +x2 be a random variable representing the total time to examine and repair the computer. There is a

flat rate of $1.80 per minute to examine the computer, and if no repairs are ordered, there is an additional $70

service charge. Let . Compute the mean and standard deviation of L.

a.

b.

c.

d.

e.

Copyright Cengage Learning. Powered by Cognero. Page 11Chapter 5 – The Binomial Probability Distribution and Related Topics

ANSWER: b

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.78

–

Compute mean and standard deviation

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 3/28/2014 6:35 AM

21. Richard has been given a 9-question multiple-choice quiz in his history class. Each question has three

answers, of which only one is correct. Since Richard has not attended the class recently, he doesn’t know any of

the answers. What is the value of p? (p is the value of success) Round your answer to the nearest tenth.

a. 9.0

b. 27.0

c. 3.0

d. 0.3

e. 2.7

ANSWER: d

POINTS: 1

DIFFICULTY: Easy

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.79

–

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 3/28/2014 6:59 AM

Note the value of success

22. Richard has been given a 12-question multiple-choice quiz in his history class. Each question has five

answers, of which only one is correct. Since Richard has not attended the class recently, he doesn’t know any of

the answers. What is the value of n ?(n is the number of trials)

a. 0.4

b. 12.0

c. 4.8

d. 60.0

e. 2.4

ANSWER: b

POINTS: 1

DIFFICULTY: Easy

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.80

–

Find the number of trials

NOTES: Application

Copyright Cengage Learning. Powered by Cognero. Page 12Chapter 5 – The Binomial Probability Distribution and Related Topics

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 3/28/2014 6:58 AM

23. Richard has been given a 10-question multiple-choice quiz in his history class. Each question has five

answers, of which only one is correct. Since Richard has not attended the class recently, he doesn’t know any of

the answers. What is considered the success?

a. number of questions

b. Richard answers a question correctly.

c. number of questions answered

d. Richard is unable to answer a question correctly.

e. none of the choices

ANSWER: b

POINTS: 1

DIFFICULTY: Easy

QUESTION TYPE: Multiple Choice

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.81

–

Note the success

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 11/6/2013 2:22 AM

24. Richard has been given a 9-question multiple-choice quiz in his history class. Each question has four

answers, of which only one is correct. Since Richard has not attended the class recently, he doesn’t know any of

the answers. Assuming that Richard guesses on all 9 questions, find the probability that he will answer all

questions correctly. Round your answer to the nearest thousandth.

a. 0.000

b. 0.250

c. 0.500

d. 0.028

e. 0.444

ANSWER: a

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.71

–

Find the probability

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 11/6/2013 2:24 AM

25. Richard has been given a 7-question multiple-choice quiz in his history class. Each question has five

answers, of which only one is correct. Since Richard has not attended the class recently, he doesn’t know any of

the answers. Assuming that Richard guesses on all 7 questions, find the probability that he will answer all

questions incorrectly. Round your answer to the nearest thousandth.

Copyright Cengage Learning. Powered by Cognero. Page 13Chapter 5 – The Binomial Probability Distribution and Related Topics

a. 0.800

b. 0.500

c. 0.463

d. 0.210

e. 0.857

ANSWER: d

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.71

–

Find the probability

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 11/6/2013 2:25 AM

26. Richard has been given an 11-question multiple-choice quiz in his history class. Each question has five

answers, of which only one is correct. Since Richard has not attended the class recently, he doesn’t know any of

the answers. Assuming that Richard guesses on all 11 questions, find the probability that he will answer at least

4 questions correctly. Round your answer to the nearest thousandth.

a. 0.111

b. 0.161

c. 0.364

d. 0.073

e. 0.5

ANSWER: b

POINTS: 1

DIFFICULTY: Difficult

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.82

–

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 3/28/2014 7:08 AM

To identify the probability with the given condition

27. Richard has been given a 12-question multiple-choice quiz in his history class. Each question has four

answers, of which only one is correct. Since Richard has not attended the class recently, he doesn’t know any of

the answers. The success occurs if Richard answers a question correctly and the failure occurs if Richard is

unable to answer a question correctly. Assuming that Richard guesses on all 12 questions, find the probability

that he will answer no more than 3 questions correctly. Round your answer to the nearest thousandth.

a. 0.258

b. 0.5

c. 0.25

d. 0.649

Copyright Cengage Learning. Powered by Cognero. Page 14Chapter 5 – The Binomial Probability Distribution and Related Topics

e. 0.063

ANSWER: d

POINTS: 1

DIFFICULTY: Difficult

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.82

–

To identify the probability with the given condition

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 3/28/2014 7:01 AM

28. Richard has been given a 6-question multiple-choice quiz in his history class. Each question has three

answers, of which only one is correct. Since Richard has not attended the class recently, he doesn’t know any of

the answers. The success occurs if Richard answers a question correctly and the failure occurs if Richard is

unable to answer a question correctly. Assuming that Richard guesses on all 6 questions, find the probability

that he will answer all questions incorrectly. Round your answer to the nearest thousandth.

a. 0.667

b. 0.088

c. 0.579

d. 0.833

e. 0.5

ANSWER: b

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.71

–

Find the probability

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 11/6/2013 2:29 AM

29. Richard has been given an 11-question multiple-choice quiz in his history class. Each question has four

answers, of which only one is correct. Since Richard has not attended the class recently, he doesn’t know any of

the answers. The success occurs if Richard answers a question correctly and the failure occurs if Richard is

unable to answer a question correctly. Assuming that Richard guesses on all 11 questions, find the probability

that he will answer at least 3 questions correctly. Round your answer to the nearest thousandth.

a. 0.258

b. 0.500

c. 0.273

d. 0.068

e. 0.545

ANSWER: e

POINTS: 1

DIFFICULTY: Difficult

Copyright Cengage Learning. Powered by Cognero. Page 15Chapter 5 – The Binomial Probability Distribution and Related Topics

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.82

–

To identify the probability with the given condition

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 3/28/2014 6:53 AM

30. Richard has been given a 7-question multiple-choice quiz in his history class. Each question has three

answers, of which only one is correct. Since Richard has not attended the class recently, he doesn’t know any of

the answers. Assuming that Richard guesses on all 7 questions, find the probability that he will answer no more

than 4 questions correctly. Round your answer to the nearest thousandth.

a. 0.128

b. 0.571

c. 0.955

d. 0.19

e. 0.5

ANSWER: c

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.82

–

To identify the probability with the given condition

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 3/28/2014 6:48 AM

31. Richard has been given a 4-question multiple-choice quiz in his history class. Each question has three

answers, of which only one is correct. Since Richard has not attended the class recently, he doesn’t know any of

the answers. The success occurs if Richard answers a question correctly and the failure occurs if Richard is

unable to answer a question correctly. Assuming that Richard guesses on all 4 questions, find the probability

that he will answer all questions correctly. Round your answer to the nearest thousandth.

a. 0.012

b. 0.333

c. 0.5

d. 0.083

e. 0.75

ANSWER: a

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.71

–

Find the probability

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

Copyright Cengage Learning. Powered by Cognero. Page 16Chapter 5 – The Binomial Probability Distribution and Related Topics

DATE MODIFIED: 3/28/2014 6:42 AM

32. There are 5 radar stations and the probability of a single radar station detecting an enemy plane is 0.75. What

is the probability of 3 stations detecting an enemy plane? Round your answer to nearest hundredth.

a. 0.06

b. 0.75

c. 0.07

d. 0.26

e. 0.03

ANSWER: d

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.82

–

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 11/6/2013 2:39 AM

To identify the probability with the given condition

33. There are 6 radar stations and the probability of a single radar station detecting an enemy plane is 0.55 and

the probability of not detecting an enemy plane is 0.45. What is the probability that the number of stations that

detect a plane is no more than 4? Round your answer to nearest hundredth.

a. 0.84

b. 0.28

c. 0.55

d. 0.06

e. 0.02

ANSWER: a

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.82

–

To identify the probability with the given condition

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 3/28/2014 6:17 AM

34. There are 6 radar stations and the probability of a single radar station detecting an enemy plane is 0.35.

Identify the type of histogram for the probability distribution.

Copyright Cengage Learning. Powered by Cognero. Page 17Chapter 5 – The Binomial Probability Distribution and Related Topics

a. skewed left

b. symmetric

c. uniform or rectangular

d. none of these choices

e. skewed right

ANSWER: e

POINTS: 1

DIFFICULTY: Easy

QUESTION TYPE: Multiple Choice

HAS VARIABLES: True

LEARNING OBJECTI

13.83

–

Identify the type of a histogram from the graph of the probability distribution

VES:

when the graph is provided

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 3/13/2014 10:15 AM

35. There are 6 radar stations and the probability of a single radar station detecting an enemy plane is 0.50.

Identify the type of histogram for the probability distribution.

a. skewed right

b. skewed left

c. none of these choices

d. uniform or rectangular

e. symmetric

ANSWER: e

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multiple Choice

HAS VARIABLES: True

LEARNING OBJECTIVE

13.84

–

S:

r are given

Identify the type of a histogram of probability distribution when values of n and

Copyright Cengage Learning. Powered by Cognero. Page 18Chapter 5 – The Binomial Probability Distribution and Related Topics

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 3/28/2014 6:09 AM

36. There are 4 radar stations and the probability of a single radar station detecting an enemy plane is 0.55.

Make a histogram for the probability distribution.

a.

b.

c.

d.

Copyright Cengage Learning. Powered by Cognero. Page 19Chapter 5 – The Binomial Probability Distribution and Related Topics

e.

ANSWER: c

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.85

–

Make a histogram for the probability distribution

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 3/13/2014 10:16 AM

37. There are 4 radar stations and the probability of a single radar station detecting an enemy plane is 0.55.

Make a histogram for the probability distribution.

r

0 0.041

1 0.200

2 0.368

3 0.300

4 0.092

a. b.

Copyright Cengage Learning. Powered by Cognero. Page 20Chapter 5 – The Binomial Probability Distribution and Related Topics

c. d.

e.

ANSWER: d

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.85

–

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 3/28/2014 6:06 AM

Make a histogram for the probability distribution

38. The probability of a radar station detecting an enemy plane is 0.55. If 60 stations are in use, what is the

expected number of stations that will detect an enemy plane?

a. 60

b. 33

c. 0

d. 58

e. none of these choices

ANSWER: b

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

Copyright Cengage Learning. Powered by Cognero. Page 21Chapter 5 – The Binomial Probability Distribution and Related Topics

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.86

–

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 11/6/2013 2:58 AM

To identify the expected number of stations detecting a plane

39. The probability of a radar station detecting an enemy plane is 0.65 and the probability of not detecting an

enemy plane is 0.35. If 100 stations are in use, what is the expected number of stations that will detect an enemy

plane?

a. 100

b. 0

c. 98

d. 65

e. none of these choices

ANSWER: d

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.86

–

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 3/28/2014 5:47 AM

To identify the expected number of stations detecting a plane

40. The probability of a single radar station detecting an enemy plane is 0.6. How many such stations are

required to be 97% certain that an enemy plane flying over will be detected by at least one station?

a. 3

b. 5

c. 2

d. 4

e. none of these choices

ANSWER: d

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES

13.87

–

:

certainty

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

To identify the number of stations required to achieve the given percent of

DATE MODIFIED: 3/28/2014 5:43 AM

41. The probability of a radar station detecting an enemy plane is 0.85. If 4 stations are in use, what is the

standard deviation? Round your answer to nearest hundredth.

Copyright Cengage Learning. Powered by Cognero. Page 22Chapter 5 – The Binomial Probability Distribution and Related Topics

a. 1.84

b. 0.71

c. 0.51

d. 3.40

e. none of these choices

ANSWER: b

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.86

–

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 3/28/2014 5:39 AM

To identify the expected number of stations detecting a plane

42. The probability of a radar station detecting an enemy plane is 0.85 and the probability of not detecting an

enemy plane is 0.15. If 4 stations are in use, what is the standard deviation? Round your answer to nearest

hundredth.

a. 1.84

b. 0.71

c. 0.51

d. 3.4

e. none of these choices

ANSWER: b

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.86

–

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 11/6/2013 3:03 AM

To identify the expected number of stations detecting a plane

43. The probability of a single radar station detecting an enemy plane is 0.75 and the probability of not detecting

an enemy plane is 0.25. How many such stations are required to be 98% certain that an enemy plane flying over

will be detected by at least one station?

a. 3

b. 2

c. 4

d. 1

e. none of these choices

ANSWER: a

POINTS: 1

Copyright Cengage Learning. Powered by Cognero. Page 23Chapter 5 – The Binomial Probability Distribution and Related Topics

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES

13.87

–

:

certainty

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 11/6/2013 3:04 AM

To identify the number of stations required to achieve the given percent of

44. Suppose that on the leeward side of the island of Oahu, in the small village of Nanakuli, about 70% of the

residents are of Hawaiian ancestry. Let n = 1, 2, 3,… represent the number of people you must meet until you

encounter the first person of Hawaiian ancestry in the village of Nanakuli. The formula for the probability

distribution of the random variable n is given as Round your answer to the nearest ten thousandth.

a. 0.71

. Compute the probability for n = 1.

b. 0.7

c. 0.3

d. 0.31

e. 0.716

ANSWER: b

POINTS: 1

DIFFICULTY: Easy

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.71

–

Find the probability

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 3/28/2014 5:17 AM

45. Suppose that on the leeward side of the island of Oahu, in the small village of Nanakuli, about 50% of the

residents are of Hawaiian ancestry. Let n = 1, 2, 3,… represent the number of people you must meet until you

encounter the first person of Hawaiian ancestry in the village of Nanakuli. Compute the probability for 3.

Round your answer to the nearest ten thousandth.

a. 0.24

b. 0.1350

c. 0.1250

d. 0.25

e. 0.251

ANSWER: d

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

Copyright Cengage Learning. Powered by Cognero. Page 24Chapter 5 – The Binomial Probability Distribution and Related Topics

LEARNING OBJECTIVES: 13.71

–

Find the probability

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 3/28/2014 5:14 AM

46. Suppose that on the leeward side of the island of Oahu, in the small village of Nanakuli, about 30% of the

residents are of Hawaiian ancestry. Let n = 1, 2, 3,… represent the number of people you must meet until you

encounter the first person of Hawaiian ancestry in the village of Nanakuli. What is the expected number of

people you must meet until you encounter the first person of Hawaiian ancestry in the village of Nanakuli?

Round your answer to the nearest hundredth.

a. 1.43

b. 3.44

c. 33.33

d. 33.55

e. 3.33

ANSWER: e

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.88

–

Note the expected number

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 3/28/2014 5:06 AM

47. Suppose that on the leeward side of the island of Oahu, in the small village of Nanakuli, about 90% of the

residents are of Hawaiian ancestry. Let n=1, 2, 3,… represent the number of people you must meet until you

encounter the first person of Hawaiian ancestry in the village of Nanakuli. Write the expression for the

probability distribution of the random variable n.

a.

b.

c.

d.

e.

ANSWER: d

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.89

–

Note the expression for P(n)

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 3/28/2014 5:03 AM

Copyright Cengage Learning. Powered by Cognero. Page 25Chapter 5 – The Binomial Probability Distribution and Related Topics

48. Suppose that on the leeward side of the island of Oahu, in the small village of Nanakuli, about 80% of the

residents are of Hawaiian ancestry. Let n= 1, 2, 3,… represent the number of people you must meet until you

encounter the first person of Hawaiian ancestry in the village of Nanakuli. Compute the probability for n= 4.

Round your answer to the nearest ten thousandth.

a. 0.0164

b. 0.0064

c. 0.1024

d. 0.016

e. 0.637

ANSWER: b

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.71

–

Find the probability

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 3/28/2014 4:57 AM

49. Suppose that on the leeward side of the island of Oahu, in the small village of Nanakuli, about 60% of the

residents are of Hawaiian ancestry. Let n= 1, 2, 3,… represent the number of people you must meet until you

encounter the first person of Hawaiian ancestry in the village of Nanakuli. The formula for the probability

distribution of the random variable n is given as Round your answer to the nearest ten thousandth.

a. 0.16

. Compute the probability for 3.

b. 0.226

c. 0.216

d. 0.15

e. 0.622

ANSWER: a

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.71

–

Find the probability

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 3/28/2014 4:45 AM

50. Suppose that on the leeward side of the island of Oahu, in the small village of Nanakuli, about 40% of the

residents are of Hawaiian ancestry. Let 1, 2, 3,… represent the number of people you must meet until you

encounter the first person of Hawaiian ancestry in the village of Nanakuli. The formula for the probability

distribution of the random variable n is given as . What is the expected number of people

Copyright Cengage Learning. Powered by Cognero. Page 26Chapter 5 – The Binomial Probability Distribution and Related Topics

you must meet until you encounter the first person of Hawaiian ancestry in the village of Nanakuli? Round your

answer to the nearest hundredth.

a. 1.67

b. 2.61

c. 2.50

d. 25.22

e. 25.00

ANSWER: c

POINTS: 1

DIFFICULTY: Medium

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.88

–

Note the expected number

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 11/6/2013 3:44 AM

51. In one of the archaeological excavation sites, the artifact density (number of prehistoric artifacts per 10 liters

of sediment) was 2.0. Suppose you are going to dig up and examine 40 liters of sediment at this site. Let r =

0,

1, 2, 3,… be a random variable that represents the number of prehistoric artifacts found in your 40 liters of

sediment. Identify λ. Round your answer to the nearest tenth.

a. 80

b. 8

c. 0.8

d. 200

e. 9

ANSWER: b

POINTS: 1

DIFFICULTY: Easy

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.90

–

NOTES: Application

DATE CREATED: 11/4/2013 1:58 AM

DATE MODIFIED: 3/28/2014 4:17 AM

Identify the mean number of success over designated interval

52. In one of the archaeological excavation sites, the artifact density (number of prehistoric artifacts per 10 liters

of sediment) was . Suppose you are going to dig up and examine liters of sediment at this site. Let 0, 1,

2, 3,… be a random variable that represents the number of prehistoric artifacts found in your liters of

sediment. Compute the probability that in your liters of sediment you will find prehistoric . Round

your answer to the nearest ten thousandth.

a.

b.

c.

Copyright Cengage Learning. Powered by Cognero. Page 27Chapter 5 – The Binomial Probability Distribution and Related Topics

d.

e.

ANSWER: e

POINTS: 1

DIFFICULTY: Medium

REFERENCES: Bra_US_9e

QUESTION TYPE: Multiple Choice

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.71

–

Find the probability

TOPICS: 5.4

KEYWORDS: 14

NOTES: Application

DATE CREATED: 3/13/2014 1:45 PM

DATE MODIFIED: 3/13/2014 2:18 PM

53. In one of the archaeological excavation sites, the artifact density (number of prehistoric artifacts per 10 liters

of sediment) was . Suppose you are going to dig up and examine liters of sediment at this site. Let 0,

1, 2, 3,… be a random variable that represents the number of prehistoric artifacts found in your liters of

sediment. Find the probability that you will find or more artifacts in the liters of sediment. Round your

answer to the nearest ten thousandth.

a.

b.

c.

d.

e.

ANSWER: d

POINTS: 1

DIFFICULTY: Medium

REFERENCES: Bra_US_9e

QUESTION TYPE: Multiple Choice

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.71

–

Find the probability

TOPICS: 5.4

KEYWORDS: 14

NOTES: Application

DATE CREATED: 3/13/2014 2:17 PM

DATE MODIFIED: 3/13/2014 2:22 PM

54. In one of the archaeological excavation sites, the artifact density (number of prehistoric artifacts per 10 liters

of sediment) was . Suppose you are going to dig up and examine liters of sediment at this site. Let 0, 1,

2, 3,… be a random variable that represents the number of prehistoric artifacts found in your liters of

sediment. Find the probability that you will find fewer than prehistoric artifacts in the liters of sediment.

Round your answer to the nearest ten thousandth.

a.

Copyright Cengage Learning. Powered by Cognero. Page 28Chapter 5 – The Binomial Probability Distribution and Related Topics

b.

c.

d.

e.

ANSWER: b

POINTS: 1

DIFFICULTY: Medium

REFERENCES: Bra_US_9e

QUESTION TYPE: Multiple Choice

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.71

–

Find the probability

TOPICS: 5.4

KEYWORDS: 14

NOTES: Application

DATE CREATED: 3/13/2014 2:23 PM

DATE MODIFIED: 3/13/2014 2:38 PM

55. In one of the archaeological excavation sites, the artifact density (number of prehistoric artifacts per 10 liters

of sediment) was 2.5. Suppose you are going to dig up and examine 40 liters of sediment at this site. Let 0, 1,

2, 3,… be a random variable that represents the number of prehistoric artifacts found in your 40 liters of

sediment. Write the formula for the probability distribution of the random variable r.

a.

b.

c.

d.

e.

ANSWER: b

POINTS: 1

DIFFICULTY: Easy

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.91

–

Note the expression for P(r)

NOTES: Application

DATE CREATED: 11/4/2013 1:59 AM

DATE MODIFIED: 11/6/2013 4:37 AM

56. In one of the archaeological excavation sites, the artifact density (number of prehistoric artifacts per 10 liters

of sediment) was . Suppose you are going to dig up and examine liters of sediment at this site. Let 0, 1,

2, 3,… be a random variable that represents the number of prehistoric artifacts found in your liters of

sediment. The formula for the probability distribution of the random variable r is given as .

Copyright Cengage Learning. Powered by Cognero. Page 29Chapter 5 – The Binomial Probability Distribution and Related Topics

Compute the probability that in your answer to the nearest ten thousandth.

liters of sediment you will find prehistoric a.

b.

c.

d.

e.

ANSWER: a

POINTS: 1

DIFFICULTY: Medium

REFERENCES: Bra_US_9e

QUESTION TYPE: Multiple Choice

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.71

–

Find the probability

TOPICS: 5.4

KEYWORDS: 15

OTHER: 5.4.15b

NOTES: Application

DATE CREATED: 3/13/2014 2:49 PM

DATE MODIFIED: 3/14/2014 3:11 AM

. Round your

57. In one of the archaeological excavation sites, the artifact density (number of prehistoric artifacts per 10 liters

of sediment) was . Suppose you are going to dig up and examine liters of sediment at this site. Let 0, 1,

2, 3,… be a random variable that represents the number of prehistoric artifacts found in your liters of

sediment. The formula for the probability distribution of the random variable r is given as .

Find the probability that you will find or more artifacts in the liters of sediment. Round your answer to the

nearest ten thousandth.

a.

b.

c.

d.

e.

ANSWER: e

POINTS: 1

DIFFICULTY: Medium

REFERENCES: Bra_US_9e

QUESTION TYPE: Multiple Choice

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.71

–

TOPICS: 5.4

KEYWORDS: 15

OTHER: 5.4.15c

NOTES: Application

Copyright Cengage Learning. Powered by Cognero. Find the probability

Page 30Chapter 5 – The Binomial Probability Distribution and Related Topics

DATE CREATED: 3/13/2014 3:01 PM

DATE MODIFIED: 3/14/2014 3:12 AM

58. In one of the archaeological excavation sites, the artifact density (number of prehistoric artifacts per 10 liters

of sediment) was . Suppose you are going to dig up and examine liters of sediment at this site. Let 3,… be a random variable that represents the number of prehistoric artifacts found in your 0, 1, 2,

liters of sediment.

The formula for the probability distribution of the random variable r is given as probability that you will find fewer than prehistoric artifacts in the the nearest ten thousandth.

. Find the

liters of sediment. Round your answer to

a.

b.

c.

d.

e.

ANSWER: d

POINTS: 1

DIFFICULTY: Medium

REFERENCES: Bra_US_9e

QUESTION TYPE: Multiple Choice

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.71

–

Find the probability

TOPICS: 5.4

KEYWORDS: 14

NOTES: Application

DATE CREATED: 3/13/2014 3:16 PM

DATE MODIFIED: 3/13/2014 3:33 PM

59. The Honolulu Advertiser stated that in Honolulu there was an average of 653.0 burglaries per

400000 households in a given year. In the Kohola Drive neighborhood there are 320 homes. Let r be the

number of homes that will be burglarized in a year. The formula for the probability distribution of the random

variable r is given as thousandth.

. Compute the probability for . Round your answer to the nearest ten

a.

b.

c.

d.

e.

ANSWER: a

POINTS: 1

DIFFICULTY: Medium

REFERENCES: Bra_US_9e

QUESTION TYPE: Multiple Choice

HAS VARIABLES: True

Copyright Cengage Learning. Powered by Cognero. Page 31Chapter 5 – The Binomial Probability Distribution and Related Topics

LEARNING OBJECTIVES: 13.71

–

Find the probability

TOPICS: 5.4

KEYWORDS: 21

OTHER: 5.4.21b

NOTES: Application

DATE CREATED: 3/14/2014 3:15 AM

DATE MODIFIED: 3/14/2014 3:22 AM

60. The Honolulu Advertiser stated that in Honolulu there was an average of 667 burglaries per

300000 households in a given year. In the Kohola Drive neighborhood there are 313 homes. Let r be the

number of homes that will be burglarized in a year. The formula for the probability distribution of the random

variable r is given as thousandth.

. Compute the probability for . Round your answer to the nearest ten

a.

b.

c.

d.

e.

ANSWER: c

POINTS: 1

DIFFICULTY: Medium

REFERENCES: Bra_US_9e

QUESTION TYPE: Multiple Choice

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.71

–

Find the probability

TOPICS: 5.4

KEYWORDS: 21

OTHER: 5.4.21c

NOTES: Application

DATE CREATED: 3/14/2014 2:27 AM

DATE MODIFIED: 3/14/2014 2:53 AM

61. The Honolulu Advertiser stated that in Honolulu there was an average of 667 burglaries per 200,000

households in a given year. In the Kohola Drive neighborhood there are 320 homes. Let r be the number of

homes that will be burglarized in a year. What is the value of n?

a. 667

b. 200,000

c. 320

d. 200,667

e. 200,320

ANSWER: c

POINTS: 1

DIFFICULTY: Easy

Copyright Cengage Learning. Powered by Cognero. Page 32Chapter 5 – The Binomial Probability Distribution and Related Topics

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.92

–

Note the value of n

NOTES: Application

DATE CREATED: 11/4/2013 1:59 AM

DATE MODIFIED: 3/28/2014 3:19 AM

62. The Honolulu Advertiser stated that in Honolulu there was an average of 659 burglaries per 400,000

households in a given year. In the Kohola Drive neighborhood there are 321 homes. Let r be the number of

homes that will be burglarized in a year. What is the value of p to four decimal places?

a. 659

b. 0.0016

c. 321

d. 0.0008

e. 2.0530

ANSWER: b

POINTS: 1

DIFFICULTY: Easy

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.93

–

Note the value of p

NOTES: Application

DATE CREATED: 11/4/2013 1:59 AM

DATE MODIFIED: 3/28/2014 3:17 AM

63. The Honolulu Advertiser stated that in Honolulu there was an average of 651 burglaries per 500,000

households in a given year. In the Kohola Drive neighborhood there are 319 homes. Let r be the number of

homes that will be burglarized in a year. What is the value of λ to one decimal places ?

a. 0.2

b. 651

c. 319

d. 2.0

e. 0.4

ANSWER: e

POINTS: 1

DIFFICULTY: Easy

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.90

–

NOTES: Application

DATE CREATED: 11/4/2013 1:59 AM

DATE MODIFIED: 3/28/2014 3:13 AM

Identify the mean number of success over designated interval

Copyright Cengage Learning. Powered by Cognero. Page 33Chapter 5 – The Binomial Probability Distribution and Related Topics

64. The Honolulu Advertiser stated that in Honolulu there was an average of 661 burglaries per 100,000

households in a given year. In the Kohola Drive neighborhood there are 323 homes. Let r be the number of

homes that will be burglarized in a year. Compute the probability for . Round your answer to the nearest ten

thousandth.

a. 0.0613

b. 0.3969

c. 0.1743

d. 0.2001

e. 0.1890

ANSWER: e

POINTS: 1

DIFFICULTY: Easy

REFERENCES: Bra_US_9e

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.71

TOPICS: 5.4

–

Find the probability

KEYWORDS: 22

OTHER: 5.4.22b

NOTES: Application

DATE CREATED: 3/14/2014 3:45 AM

DATE MODIFIED: 3/14/2014 4:17 AM

65. The Honolulu Advertiser stated that in Honolulu there was an average of 661 burglaries per 400,000

households in a given year. In the Kohola Drive neighborhood there are 317 homes. Let r be the number of

homes that will be burglarized in a year. Compute the probability for . Round your answer to the nearest ten

thousandth.

a. 0.1013

b. 0.0144

c. 0.3010

d. 0.0902

e. 0.0369

ANSWER: d

POINTS: 1

DIFFICULTY: Easy

REFERENCES: Bra_US_9e

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.71

–

Find the probability

TOPICS: 5.4

KEYWORDS: 22

OTHER: 5.4.22c

Copyright Cengage Learning. Powered by Cognero. Page 34Chapter 5 – The Binomial Probability Distribution and Related Topics

NOTES: Application

DATE CREATED: 3/14/2014 4:11 AM

DATE MODIFIED: 3/14/2014 4:21 AM

66. The Honolulu Advertiser stated that in Honolulu there was an average of 669 burglaries per 100,000

households in a given year. In the Kohola Drive neighborhood there are 320 homes. Let r be the number of

homes that will be burglarized in a year. Compute the probability for . Round your answer to the nearest ten

thousandth.

a. 0.6474

b. 0.8386

c. 0.1736

d. 0.6496

e.

ANSWER: d

POINTS: 1

DIFFICULTY: Easy

REFERENCES: Bra_US_9e

QUESTION TYPE: Multi-Mode (Multiple choice)

HAS VARIABLES: True

LEARNING OBJECTIVES: 13.71

–

Find the probability

TOPICS: 5.4

KEYWORDS: 22

OTHER: 5.4.22b

NOTES: Application

DATE CREATED: 3/14/2014 4:11 AM

DATE MODIFIED: 3/28/2014 3:05 AM

Copyright Cengage Learning. Powered by Cognero. Page 35