Statistics

Men’s weights are normally distributed with mean 170 pounds and standard deviation 20 pounds.

(a) Find the probability that a randomly selected man has a weight between 150 and 200. (Show work and round the answer to 4 decimal places)

(b) What is the 75^th percentile for men’s weight? (Show work and round the answer to 2 decimal places)

(c) If 64 men are randomly selected, find the probability that sample mean weight is greater than 175. (Show work and round the answer to 4 decimal places)

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