Question

I need to know how to solve for this question:

NOTE: Answers using z-scores rounded to 3 (or more) decimal places will work for this problem.

The population of weights for men attending a local health club is normally distributed with a mean of 179-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 6825-lbs.

Assume that there are 35 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 35 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 evelator is full (on average) 2 times a day, how many times will the evelator be overloaded in one (non-leap) year?
number of times overloaded =  
(Report answer rounded to the nearest whole number.)

Is there reason for concern?

• yes, the current overload limit is not adequate to insure the safey of the passengers
• no, the current overload limit is adequate to insure the safety of the passengers

Answer 1