An elevator has a placard stating that the maximum capacity is 3500 lblong dash—25 passengers. So, 25 adult male passengers can have a mean weight of up to 3500 divided by 25 equals 140 pounds. 3500/25=140 pounds. Assume that weights of males are normally distributed with a mean of 175 lb and a standard deviation of 37 lb.
a. Find the probability that 1 randomly selected adult male has a weight greater than 140 lb.
b. Find the probability that a sample of 25 randomly selected adult males has a mean weight greater than 140 lb.
