Engineers are designing a large elevator that will accommodate42 people. The maximum weight the elevator can hold safely is8148 pounds. According to a government health agency, the weights of adult men have mean188pounds and standard deviation63 pounds, and the weights of adult women have mean165pounds and standard deviation72pounds.

(a) If42 people are on the elevator, and their total weight is8148 pounds, what is their average weight?

The average weight is______pounds.

Part 2 of 3

(b) If a random sample of42

adult men ride the elevator, what is the probability that the maximum safe weight will be exceeded? Round the answer to at least four decimal places.

The probability that the maximum safe weight will be exceeded is_____

.

Part 3 of 3

(c) If a random sample of42

adult women ride the elevator, what is the probability that the maximum safe weight will be exceeded? Round the answer to at least four decimal places.

The probability that the maximum safe weight will be exceeded is_____