the capacity of an elevator is 15 people or 2520 pounds. The capacity will be exceeded if 15 people have weights with a mean greater than 2520/15=168pounds. Suppose the people have weights that are normally distributed with a mean of 173lb and a standard deviation of 26lb.

a. Find the probability that if a person is randomlyselected, his weight will be greater than 168 pounds.

The probability is approximately (Round to four decimal places asneeded.)

b. Find the probability that 15 randomly selected people will have a mean that is greater than 168 pounds.

The probability is approximately (Round to four decimal places asneeded.)

c. Does the elevator appear to have the correct weightlimit? Why or whynot?

A.Yes, 15 randomly selected people will always be under the weight limit.

B.No, there is a good chance that 15 randomly selected people will exceed the elevator capacity.

C.No, 15 randomly selected people will never be under the weight limit.

D.Yes, there is a good chance that 15 randomly selected people will not exceed the elevator capacity.