A fitness company is building a 20-story high-rise. Architects building the high-rise know that women working...

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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 =

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Given thatmean 165 lbstandard    See Answer
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