A fitness company is building a 20-story high-rise. Architectsbuilding the high-rise know that women working for the company haveweights that are normally distributed with a mean of 143 lb and astandard deviation of 29 lb, and men working for the company haveweights that are normally distributed with a mean of 165 lb and astandard deviation or 32 lb. You need to design an elevator thatwill safely carry 15 people. Assuming a worst case scenario of 15male passengers, find the maximum total allowable weight if we wantto a 0.98 probability that this maximum will not be exceeded when15 males are randomly selected.
maximum weight =
