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Suppose that men's scores on the verbal portion of an entrance exam are normally distributed with a mean of 509 and a standard deviation of

Suppose that men's scores on the verbal portion of an entrance exam 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 583.5

b) if 17 men are randomly selected, find the probability that their mean score is at least 583.5

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