Scores for men on the verbal portion of the SAT-I test are normally distributed with a mean of 509 and a standard deviation of 112. (a) If 1 man is randomly selected, find the probability that his score is at least 586.5. (b) If 17 men are randomly selected, find the probability that their mean score is at least 586.5.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Scores for men on the verbal portion of the SAT-I test are normally distributed with a mean of 509 and a standard deviation of 112.
(a) If 1 man is randomly selected, find the probability that his score is at least 586.5.

(b) If 17 men are randomly selected, find the probability that their mean score is at least 586.5.

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