Elevator ride: Engineers are designing a large elevator that will accommodate 47 people. The maximum weight the elevator can hold safely is 9165 pounds. According to the National Health Statistics Reports, the weights of adult U.S. men have mean 173 pounds and standard deviation 69 pounds, and the weights of adult U.S. women have mean 165 pounds and standard deviation 78 pounds. Use the TI-84 Plus calculator. Part 1 of 3 (a) If 47 people are on the elevator, and their total weight is 9165 pounds, what is their average weight? The average weight is pounds. Part 2 of 3 (b) If a random sample of 47 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