An elevator has a placard stating that the maximum capacity is 1580 Ib-10 passengers. So, 10 adult male passengers can have a mean weight of up to 1580 / 10 = 158 pounds. If the elevator is loaded with 10 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 160 lb and a standard deviation of 27 lb.) Does this elevator appear to be safe?

a. The probability the elevator is overloaded is ___

(Round to four decimal places as needed.)

b. Does this elevator appear to be safe?

O A. Yes, 10 randomly selected adult male passengers will always be under the weight limit.

O B. No, there is a good chance that 10 randomly selected adult male passengers will exceed the elevator capacity.

O C. Yes, there is a good chance that 10 randomly selected people will not exceed the elevator capacity.

O D. No, 10 randomly selected people will never be under the weight limit.