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 145 and 200. (Show work and round the answer to 4 decimal places)
(b) What is the 70th percentile for men's weight? (Show work and round the answer to 2 decimal places)
(c) If 100 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)