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Statistics: Informed Decisions Using Data | 4th Edition | ISBN: 9780321757272 | Authors: Michael Sullivan, III
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Solved: Driver FatalitiesThe following data represent the

Chapter 5, Problem 20E

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QUESTION:

Problem 20E

Driver FatalitiesThe following data represent the number of drivers involved in fatal crashes in the United States in 2009 by day of the week and gender.

 

Male

Female

Total

Sunday

8,222

4,325

12,547

Monday

6,046

3,108

9,154

Tuesday

5,716

3,076

8,792

Wednesday

5,782

3,011

8,793

Thursday

6,315

3,302

9,617

Friday

7,932

4,113

12,045

Saturday

9,558

4,824

14,382

Total

49,571

25,759

75,330

(a) Among Sunday fatal crashes, what is the probability that a randomly selected fatality is female?

(b) Among female fatalities, what is the probability that a randomly selected fatality occurs on Sunday?

(c) Are there any days in which a fatality is more likely to be male? That is, is P(male | Sunday) much different from P(male | Monday) and so on?

Questions & Answers

QUESTION:

Problem 20E

Driver FatalitiesThe following data represent the number of drivers involved in fatal crashes in the United States in 2009 by day of the week and gender.

 

Male

Female

Total

Sunday

8,222

4,325

12,547

Monday

6,046

3,108

9,154

Tuesday

5,716

3,076

8,792

Wednesday

5,782

3,011

8,793

Thursday

6,315

3,302

9,617

Friday

7,932

4,113

12,045

Saturday

9,558

4,824

14,382

Total

49,571

25,759

75,330

(a) Among Sunday fatal crashes, what is the probability that a randomly selected fatality is female?

(b) Among female fatalities, what is the probability that a randomly selected fatality occurs on Sunday?

(c) Are there any days in which a fatality is more likely to be male? That is, is P(male | Sunday) much different from P(male | Monday) and so on?

ANSWER:

Solution:

Step 1 of 4:

The data about the number of drivers involved in fatal crashes in the United States in 2009 by day of the week and gender.

                           

Male

Female

Total

Sunday

8,222

4,325

12,547

Monday

6,046

3,108

9,154

Tuesday

5,716

3,076

8,792

Wednesday

5,782

3,011

8,793

Thursday

6,315

3,302

9,617

Friday

7,932

4,113

12,045

Saturday

9,558

4,824

14,382

Total

49,571

25,759

75,330

We have to find the following.

  1. The probability that a randomly selected fatality is a female, among the Sunday fatal crashes.
  2. The probability that a randomly selected fatality occurs on Sunday, among the female fatalities.
  3. We have to determine are there any days in which a fatality is more likely to be male.

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