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 25-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 6370-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 =