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I have a practice exam that I would like help on; they aren't too difficult but there are a few I am questioning and would like to see if we are able to get the same answers. Any help is appreciated, thank you in advance!


1) Given the following:

 

P(A) = 0.8

 

P(B) = 0.7

 

P(A or B) = 0.6

 

What is P(A and B)?

 

A.

 

B.

 

C.

 

D.

 

2)

 

A.

 

B.

 

C.

 

D.

 


 

0.90

 

0.48

 

0.42

 

0.56

 

There are 16 finalists in the Olympic 100 meter dash. How many different ways can the

 

gold, silver, and bronze medals be awarded?

 

20,160

 

560

 

3,360

 

4,096

 


 

3) A local business is having a sales contest. The salespeople who finish in the top 5 each get a

 

7% raise. There are 45 salespeople. How many different ways can the raises be awarded?

 

Assume the top 5 are not ordered in any particular manner.

 

A. 146,611,759

 

B. 225

 

C. 184,528,125

 

D. 1,221,759

 

4) A student enrolls in a statistics class. There is a probability of 0.6 that they will be assigned

 

to Professor Jones?s class, and a probability of 0.4 that they will be assigned to Professor

 

Smith. Historically the probability of getting a B or higher in Professor Jones?s class was 0.7

 

while in Professor Smith?s class it was 0.9. What is the probability that the student will get a

 

B or better?

 

A. 0.78

 

B. 0.80

 

C. 0.36

 

D. 0.22

 

5) Using the same data as Question 29 answer the following question. Given that a student

 

achieved less than a B, what is the probability that the student had Professor Smith as an

 

instructor?

 

A. 0.5385

 

B. 0.4615

 

C. 0.8182

 

D. 0.1818

 

6) Use the following data for questions 31 and 32.

 

Cars

 


 

Probabilit

 


 

Sold

 


 

y

 

0

 

1

 

2

 

3

 

4

 

5

 

6

 


 

0.06

 

0.14

 

0.24

 

0.30

 

0.12

 

0.08

 

0.06

 


 

The above is the probability of a car salesman making a certain number of sales during a month.

 

What is the expected value of the number of sales a salesman would make?

 

A. 3.00

 

B. 2.76

 

C. 3.50

 

D. 2.42

 

7)

 

A.

 

B.

 

C.

 

D.

 


 

What is the standard deviation of the cars sold by the salesmen?

 

2.2624

 

2.7600

 

1.5041

 

1.2561

 


 

8) The following chart shows the probability of time it will take to finish a project and the

 

amount of profit expected if the project is completed in that time. What is the expected value

 

of the profit from this project?

 

Project length

 

less than 30 days

 

30 to 45 days

 

more than 45

 

days

 


 

A.

 

B.

 

C.

 

D.

 


 

profit

 

100,00

 

0

 

75,000

 

60,000

 


 

Probabilit

 

y

 

0.2

 

0.3

 

0.5

 


 

78,667

 

82,750

 

65,000

 

72,500

 


 

9) A person making calls to sell insurance has a 0.15 probability of success. If that person

 

makes 20 calls in a day, what is the probability they will have at least 4 successful calls?

 

Assume binomial variable.

 

A. 0.1701

 

B. 0.2428

 

C. 0.3522

 

D. 0.1821

 


 

10) Customers arrive at a local restaurant at a mean rate of 24 customers per hour. What is the

 

probability that less than 3 will arrive in the next 15 minutes? Assume Poisson arrivals.

 

A. 0.0620

 

B. 0.1512

 

C. 0.0892

 

D. 0.0113

 

11) Use the information below for this problem and the next problem.

 

When a customer places an order with Rudy?s On-Line Office Supplies, a computerized

 

accounting information system (AIS) automatically checks to see if the customer has

 

exceeded his or her credit limit. Past records indicate that the probability of customers

 

exceeding their credit limit is 0.05. Assume that the number of customers that the AIS detects

 

as having exceeded their credit limit is distributed a binomial variable.

 


 

A.

 

B.

 

C.

 

D.

 


 

Suppose that, on a given day, 20 customers place orders. What is the probability that two or

 

more customers will exceed their credit limits?

 

0.6415

 

0.0755

 

0.2642

 

0.9245

 


 

12) For Rudy?s On-Line Office Supplies problem, what is the mean and the standard deviation

 

of the number of people who exceed their credit limit?

 

A. Mean = 0.975, standard deviation = 1

 

B. Mean = 1, standard deviation = 0.975

 

C. Mean = 1, standard deviation = 0.95

 

D. Mean = 0.95, standard deviation = 0.975

 

13) Use the information below to answer this problem and the next two problems.

 

The quality control manager of Marilyn?s Cookies is inspecting a batch of chocolate-chip

 

cookies that has just been baked. If the production process is in control, the mean number of

 

chocolate chip parts per cookie is 6.0. Assume Poisson distribution applies.

 


 

A.

 

B.

 

C.

 

D.

 


 

What is the probability that in any particular cookie being inspected fewer than five

 

chocolate-chip parts will be found?

 

0.2851

 

0.4457

 

0.1606

 

0.3588

 


 

14) Use information provided for Marilyn?s Cookies. What is the probability that in any

 

particular cookie being inspected either four or five chocolate-chip parts will be found?

 

A. 0.1339

 

B. 0.1606

 

C. 0.2945

 


 

D. 0.4457

 

15) Use information provided for Marilyn?s Cookies. How many cookies in a batch of 100

 

should the manager expect to discard if company policy requires that all chocolate-chip

 

cookies sold have at least four chocolate-chip parts? Round your answer to the nearest

 

integer.

 

A. 10

 

B. 15

 

C. 18

 

D. 22

 

16) Use the information below to answer this question and the next 3 problems.

 

In 2012, the per capita consumption of soft drinks in the United States was reported to be 44

 

gallons. Assume that the per capita consumption of soft drinks in the USA is approximately

 

normally distributed with a mean of 44 gallons and a standard deviation of 14 gallons.

 


 

A.

 

B.

 

C.

 

D.

 


 

What is the probability that someone in the United States consumed more than 60 gallons of

 

soft drinks in 2012?

 

0.3752

 

0.1395

 

0.2588

 

0.1265

 


 

17) Refer back to the soft drink consumption data. What is the probability that someone in the

 

USA consumed between 15 and 30 gallons of soft drinks in 2012?

 

A. 0.1265

 

B. 0.3752

 

C. 0.0316

 

D. 0.1395

 

18) Refer back to the soft drink consumption data. What is the probability that someone in the

 

USA consumed less than 18 gallons of soft drinks in 2012?

 

A. 0.1265

 

B. 0.0316

 

C. 0.0543

 

D. 0.1395

 

19) Refer back to the soft drink consumption data. You must quantify the soft drink

 

consumption of an individual who was among the top 2% of soft-drink consumers in the

 

USA in 2012. How many gallons of soft drinks did such an individual consume?

 

A. 72.8

 

B. 15.2

 

C. 72.0

 

D. 65.7

 


 

20) Use the information below to answer this question and the next two problems.

 

How long does it take to download a two-hour movie from the iTunes store? According to

 

Apple?s technical support site, downloading such a movie using a 5 Mbit/s broadband

 

connection should take 18 to 24 minutes. Assume that the download times are uniformly

 

distributed between 18 to 24 minutes. Also assume you use a 5 Mbit/s broadband connection.

 

If you download a two-hour movie, what is the probability that the download time will be

 

less than 19 minutes?

 

A. 0.7917

 

B. 0.5281

 

C. 0.1667

 

D. 0.2639

 

21) Refer back to the movie download information. If you download a two-hour movie, what

 

is the probability that the download time will be between 15 to 21 minutes?

 

A. 1.00

 

B. 0.50

 

C. 0.33

 

D. 0.67

 

22) Refer back to the movie download information. If you download a two-hour movie, what

 

is the probability that the download time will be exactly 21 minutes?

 

A. 0.00

 

B. 0.19

 

C. 0.50

 

D. 0.72

 

23) Use the information below to answer this question and the two that follow.

 

Telephone calls arrive at the information desk of a large computer software company at a rate

 

of 15 per hour. Assume time between arrivals of calls is exponentially distributed.

 

A.

 

B.

 

C.

 

D.

 


 

What is the probability that the next call will arrive within 3 minutes?

 

0.4512

 

0.5276

 

0.3607

 

0.7384

 


 

24) Refer to the information desk problem. What is the probability that the next call will arrive

 

within 15 to 20 minutes?

 

A. 0.9765

 

B. 0.4561

 

C. 0.0168

 

D. 0.2273

 

25) Refer to the information desk problem. What is the probability that the next call will take

 

longer than 18 minutes to arrive?

 

A. 0.0111

 


 

B. 0.1011

 

C. 0.1711

 

0.2101

 


 

 

Paper#9210761 | Written in 27-Jul-2016

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