5) An elevator has a placard stating that the maximum capacity is 1264 lb-8 passengers. So, 8

adult male passengers can have a mean weight of up to 1264/8 = 158 pounds. If the elevator is loaded with 8 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 158 lb. (Assume that weights of males are normally distributed with a mean of 166 lb and a standard deviation of 32 lb.) Does this elevator appear to be safe?

The probability the elevator is overloaded is=

Does this elevator appear to be safe?

A. Yes,8 randomly selected adult male passengers will always be under the weight limit.

B. Yes, there is a good chance that 8 randomly selected people will not exceed the elevator capacity.

C. No, there is a good chance that 8 randomly selected adult male passengers will exceed the elevator capacity.

D. No, 8 randomly selected people will never be under the weight limit.