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 weights of adult U. S. men have mean 194 pounds and standard deviation 68 pounds, and the weights of adult U. S. women have mean 164 pounds and standard deviation 77 pounds. 1) If 44 people arc on the elevator, and their total weight is 9240 pounds, what is their average weight?
2) If a random sample of 44 adult men ride the elevator, what is the probability that the maximum safe weight will be exceeded?
3) If a random sample of 44 adult women ride the elevator, what is the probability that the maximum safe weight will be exceeded?