2. A Gallop poll askedAmericans whether they planned to watch the Super Bowl. Th

Question

2. A Gallop poll askedAmericans whether they planned to watch the Super Bowl. The pollster also asked those who planned to watch whether they were looking forward more to seeing the football game or the commercials. The results are summarized in the table: Gender Game Commercials Won't Watch MaleFemale 640 200 95 500 150 400 Super Bow a. What is the probability that a randomly selected responder was a female and watched more for the commercials? ANS: b. What is the probability that a randomly selected responder was female or watched more for the commercials? ANS:

Explanation / Answer

a) Total females = 1050

Watch commercials = 150

So, P = 150/1050 = 0.143

b) P of female + P of commercials - P(both female + commercial)

P = 1050/1985 + 350/1985 - 0.143

P = 0.562

c) P(A) = commercials

P(B) = female = 0.53

P(A|B) = P(A and B)/P(B)

P(A|B) = 0.143/0.53 = 0.27

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