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11) Use the data in the following table, which lists survey results from high school drivers at least 16 years of age. Assume that subjects

11) Use the data in the following table, which lists survey results from high school drivers at least 16 years of age. Assume that subjects are randomly selected from those included in the table.

Drove When Drinking Alcohol?

Yes

No

Texted While Driving

677

3043

No Texting While Driving

111

4416

If one of the high school drivers is randomly selected, find the probability that the selected driver texted while driving and drove when drinking alcohol.

The probability that one randomly selected high school driver texted while driving and drove when drinking alcohol is

enter your response here.

(Round to three decimal places as needed.)

12)Which of the following statements about probability is not true?

A.The probability of an impossible event is 0.

B.In a discrete probability model, the sum of the probabilities of all outcomes must equal 1.

C.For any event E,0

D.The probability of a certain event is 1.

13)A Gallup poll of 1236 adults showed that 12% of the respondents believe that it is bad luck to walk under a ladder. Consider the probability that among 30 randomly selected people from the 1236 who were polled, there are at least 2 who have that belief. Given that the subjects surveyed were selected without replacement, the events are not independent. Can the probability be found by using the binomial probability formula? Why or why not?

A.No. The selections are not independent, and the 5% guideline is not met.

B.No. The selections are not independent.

C.Yes. There are a fixed number of selections that are independent, can be classified into two categories, and the probability of success remains the same.

D.Yes. Although the selections are not independent, they can be treated as being independent by applying the 5% guideline.

14) Assume a population of 1, 3, and 8. Assume that samples of size n=2 are randomly selected with replacement from the population. Listed below are the nine different samples. Complete parts a through d below.

1,1

1,3

1,8

3,1

3,3

3,8

8,1

8,3

8,8

a. Find the value of the population standard deviation .

=(Round to three decimal places as needed.)

b. Find the standard deviation of each of the nine samples, then summarize the sampling distribution of the standard deviations in the format of a table representing the probability distribution of the distinct standard deviation values. Use ascending order of the sample standard deviations.

s

Probability

1

0

1.8

enter your response here

2.5

1.414

2

enter your response here

6.4

12.5

3.536

enter your response here

24.5

4.95

7

enter your response here

(Type integers or fractions.)

c. Find the mean of the sampling distribution of the sample standard deviations.

The mean of the sampling distribution of the sample standard deviations is

(Round to three decimal places as needed.)

d. Do the sample standard deviations target the value of the population standard deviation? In general, do sample standard deviations make good estimators of population standard deviations? Why or why not?

A.The sample standard deviations do not target the population standard deviation, therefore, sample standard deviations are unbiased estimators.

B. The sample standard deviations do target the population standard deviation, therefore, sample standard deviations are biased estimators.

C. The sample standard deviations do target the population standard deviation, therefore, sample standard deviations are unbiased estimators.

D. The sample standard deviations do not target the population standard deviation, therefore, sample standard deviations are biased estimators.

15) Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table.

Drive-thru Restaurant

A

B

C

D

Order Accurate

317

275

244

120

Order Not Accurate

30

51

36

20

If one order is selected, find the probability of getting an order that is not accurate.

The probability of getting an order that is not accurate is

(Round to three decimal places as needed.)

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