Engineers are designing a large elevator that will accommodate 40 people. The maximum weight the elevator can hold safely is 8120 pounds. According to the National Health Statistics Reports, the weight of adults U.S. men have a mean of 194 pounds and standard deviation of 68 pounds and U.S. Women have a mean of 164 pounds and a standard deviation of 77 pounds.

A. If 40 people are on the elevator, and their total weight is 8120 pounds, what is their average weight?

B. If a random sample of 40 adult men ride the coaster, what is the probability that the maximum safe weight will be exceeded? Write the probability statement, label the curve, shade requested area, compute z, circle the answer.