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A random sample of college students was asked to respond to a survey about how they spend their free time on a weeknight. One question,

A random sample of college students was asked to respond to a survey about how they spend their free time on a weeknight. One question, summarized in the table below, asked each respondent to choose the one activity that they are most likely to participate in on a Wednesday afternoon/evening. The activity choices were homework, housework, outside employment, recreation, or other.

Homework

Housework

Outside Employment

Recreation

Other

Male

40

2

40

11

19

Female

37

3

30

10

8

Sum

77

5

70

21

27

Answer the following question based on the above table.

a) If one person is chosen randomly from the group, what is the probability that the person is working on his or her homework on a Wednesday afternoon/evening? (round to the nearest thousandth)

b) If one person is chosen randomly from the group, what is the probability that the student is female and working at outside employment on a Wednesday afternoon/evening? (round to the nearest thousandth)

c) If one person is chosen randomly from the group, what is the probability that the person was male and doing housework on a Wednesday afternoon/evening? (round to the nearest thousandth)

d) If one person is chosen randomly from the group, what is the probability that the person was either doing homework or outside employment on a Wednesday afternoon/evening? (round to the nearest thousandth)

e) Compare the probability that a randomly chosen female student was engaged in recreation versus a male student on a Wednesday afternoon/evening (round to the nearest thousandth).

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