Data from the National Health Survey show describe that men's average weight is normally distributed with mean of 170 pounds and standard deviation of 30 pounds.
a. If a man is selected at random, find out the probability that his weight is greater than 180 pounds?
b. If 100 men are randomly chosen, find out the probability that their mean weight is greater than 180 pounds?
c. Find out the probability that mean weight of 100 men is less than 160 pounds?