4. Is College Worth it? Female 45 100 577 722 Male 56 96 401 553 ALL 101 196 978

Question

4. Is College Worth it? Female 45 100 577 722 Male 56 96 401 553 ALL 101 196 978 1275 Response 0 Unsure Yes ALL A. A person is selected randomly from the men in the group whose responses are Summarized in the table. We want to find the probability that a male said Yes. Which of the following statements best describes the problem? (2 pts) i) P (Yes/male) i) P (Male/yes) ii P (Male AND Yes) B. A person is selected randomly from the entire group whose responses are Summarized in the table. We want to find the probability that the person selected is a male who said yes. Which of the following statements best describes the problem? (2pts) i) P(Yes/male) iiP(Male/yes) ii P (Male AND Yes) C. Find i) P(Yes/Female) (2pts) ii) P(Yes/Male) (2pts) iii)Were the males or were the females more likely to say Yes? (2 pts)

Explanation / Answer

A. iii) P(Male AND Yes)

B. ii) P(Male / Yes)

C. i) P(Female) = 722 / 1275, P(Yes AND Female) = 577 / 1275,

P(Yes / Female) = P(Yes AND Female) / P(Female) = 577 / 722

ii) P(Male) = 553/1275, P(Male AND Yes) =401 / 1275

P(Yes / Male) = 401/553

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