The population of weights for men attending a local health club is normally distributed with a mean of 171-lbs and a standard deviation of 29-lbs. An elevator in the health club is limited to 35 occupants, but it will be overloaded if the total weight is in excess of 6510-lbs. Assume that there are 35 men in the elevator. What is the average weight beyond which the elevator would be considered overloaded?

Question

Physics

Litzy Mcmahon

23 October, 08:41

The population of weights for men attending a local health club is normally distributed with a mean of 171-lbs and a standard deviation of 29-lbs. An elevator in the health club is limited to 35 occupants, but it will be overloaded if the total weight is in excess of 6510-lbs. Assume that there are 35 men in the elevator. What is the average weight beyond which the elevator would be considered overloaded?

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Answers (1)

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Leroy Hickman · Answer 1

186 lbs per man.

Explanation:

If we assume that we have 35 men in the elevator, and the elevator will be overloaded if the total weight is in excess of 6510-lbs, so we just need to take average:

6510 lbs / 35 = 186 lbs per man.

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