7.83 Elevator Loads The maximum load (with a generous safety factor) for the elevator in an office building is 900 kg. The relative frequency distribution of the weights of all men and women using the elevator is mound-shaped (slightly skewed to the heavy weights), with mean equal to 65 kg and standard deviation o equal to 16 kg. What is the largest number of people you can allow on the elevator if you want their total weight to exceed the maximum weight with a small probability (say, near 0.01)? (HINT: If x1, x2, ..., x, are independent observations made on a random variable x, and if x has mean and variance o, then the mean and variance of Ex, are nu and no?, respectively. This result was given in Section 7.4.)