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?
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:
