Question 1174515
average weight >182 lbs is the point for overloading.
-
probability of 1 man being more than that is z >(182-169)/30 or z > 13/30 probability of 0.3324
-
with 35 z =(182-169)/30/(sqrt(35), or z > 13*sqrt(*35)/30 or 2.56. That probability is 0.0052
2190 uses in a year
0.0052 probability of being overloaded
expected value of number of times is 11 times a year or almost once a month. 
-
Last question is not statistical. Given the issues of elevator safety, that appears to be more frequent than should be allowed, but one can argue from both sides.