Elevator ride: Engineers are designing a large elevator that will accommodate 45 people. The maximum weight the elevator can hold safely is 8100 pounds. According to the National Health Statistics Reports, the weights of adult U.S. men have mean 176 pounds and standard deviation 65 pounds, and the weights of adult U.S. women have mean 166 pounds and standard deviation 74 pounds. Use the TI-84 Plus calculator. Espaol Part 1 of 3 (a) If 45 people are on the elevator, and their total weight is 8100 pounds, what is their average weight? The average weight is pounds. Part 2 of 3 (b) If a random sample of 45 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 45 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 G