Solved: Independent?Refer to the contingency table in

Chapter 5, Problem 44E

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QUESTION:

Problem 44E

Independent?Refer to the contingency table in Problem that relates gender to day of the week. Determine P(male) and P(male | Wednesday). Are the events “male” and “Wednesday” independent?

 

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

Questions & Answers

QUESTION:

Problem 44E

Independent?Refer to the contingency table in Problem that relates gender to day of the week. Determine P(male) and P(male | Wednesday). Are the events “male” and “Wednesday” independent?

 

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

ANSWER:

Solution:

Step 1 of 3:

The data that relates gender to the day of the week is given.

                               

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 determine P (male) and P (male/ Wednesday).

We also want to check whether the events “male” and “Wednesday” are independent or not.


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