An elevator in the APM building can carry about 20 people with a total weight of 3000 lbs. Suppose that the average weight of the campus community is 150 lbs with a standard deviation of 55 lbs.
(a) Suppose that 20 people get into the elevator estimate the probability that the elevator will be overloaded?
(b) To insure that the probability that the elevator is not overloaded is no more than 2.5%, what total weight should the elevator be engineered to handle?
(c) To insure that the probability that the elevator is not overloaded is no more than 0.5%, what total weight should the elevator be engineered to handle?