An elevator has a placard stating that the maximum capacity is 4200 lb-28 passengers. So, 28 adult male passengers can have a mean weight of up to 4200/28 = 150 pounds.
Assume that weights of males are normally distributed with a mean of 182 lb and a standard deviation of 35 lb.
a. Find the probability that 1 randomly selected adult male has a weight greater than 150 lb.
b. Find the probability that a sample of 28 randomly selected adult males has a mean weight greater than 150 lb.
c. What do you conclude about the safety of this elevator?