Question

# Engineers are designing a large elevator that will accommodate 42 people. The

maximum weight the elevator can hold safely is 8148 pounds. According to a government health agency, the weights of adult men have mean 188 pounds and standard deviation 63 pounds, and the weights of adult women have mean 165 pounds and standard deviation 72 pounds.

(a) If 42 people are on the elevator, and their total weight is 8148 pounds, what is their average weight?

The average weight is ______ pounds.

Part 2 of 3

(b) If a random sample of 42

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 of 42

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 _____

#### Top Answer

(A) 194 pounds... View the full answer