Assume that the weights of individuals are independent and n…
Assume that the weights of individuals are independent and normally distributed with a mean of 162 pounds and a standard deviation of 31 pounds. Suppose that 25 people squeeze into an elevator that is designed to hold 4350 pounds.a. What is the expected weight of all occupants in the elevator? What is the standard deviation? b. What is the probability that the load (total weight) exceeds the design limit? You may assume the total weight of the occupants follows a normal distribution. c. What design limit is exceeded by 25 occupants with probability 0.0001? You may assume the total weight of the occupants follows a normal distribution.