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Decision policy (20 points) You have to guess if an athlete is either a basketball player or a golf player from his/her height. You know that Basketball players heights are distributed according to N (80in,36in 2) Golf players heights are distributed according to N(70in, 25in 2).

a) If the athlete's height is 73in what would be the guess that maximizes your probability of being right?

b) If the athlete's height is 74in what would be the guess that maximizes your probability of being right?

c) If the athlete's height is 75in what would be the guess that maximizes your probability of being right?

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