Question

The population of weights for men attending a local health club is normally distributed with a mean of 170-lbs and a standard deviation of 29-lbs. An elevator in the health club is limited to 32 occupants, but it will be overloaded if the total weight is in excess of 5952-lbs.

Assume that there are 32 men in the elevator. What is the average weight 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 32 male occupants in the elevator are the result of a random selection, find the probability that the evelator will be overloaded?
P(elevator overloaded) =
(Report answer accurate to 4 decimal places.)

If the elevator is full (on average) 2 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