Solution Found!
Solved: Independent?Refer to the contingency table in
Chapter 5, Problem 44E(choose chapter or problem)
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.