Question

The population of weights for men attending a local health club is normally distributed with a mean of 184-lbs and a standard deviation of 27-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 6965-lbs. Assume that there are 35 men in the elevator. What is the average weight of the 35 men beyond which the elevator would be considered overloaded? average weight = lbs

What is the probability that one randomly selected male health club member will exceed this weight? P(one man exceeds) = (Report answer accurate to 4 decimal places.)

If we assume that 35 male occupants in the elevator are the result of a random selection, find the probability that the elevator will be overloaded? P(elevator overloaded) = (Report answer accurate to 4 decimal places.)

If the elevator is full (on average) 6 times a day, how many times will the elevator be overloaded in one (non-leap) year? number of times overloaded = (Report answer rounded to the nearest whole number.)

Answer 1

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