An elevator has a placard stating that the maximum capacity is 3800 lb 26 passengers. So, 26 adult male passengers can have a mean weight of up to 3800/26 = 146 pounds. Assume that weights of males are normally distributed with a mean of 188 and a standard deviation of 39 Ib.

a. Find the probability that 1 randomly selected adult male has a weight greater than 146 lb. (Round to four decimal places as needed)

b. Find the probability that a sample of 26 randomly selected adult males has a mean weight greater than 146 lb. (Round to four decimal places as needed)

c. What do you conclude about the safety of this elevator?