I just need help with the last question because I'm not sure how to do it!!!
The population of weights for men attending a local health club is normally distributed with a mean of 176-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 5984-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 = 187 lbs
What is the probability that one randomly selected male health club member will exceed this weight?
P(one man exceeds) = .3522
If we assume that 32 male occupants in the elevator are the result of a random selection, find the probability that the elevator will be overloaded?
P(elevator overloaded) = .0159
If the evelator is full (on average) 8 times a day, how many times will the evelator be overloaded in one (non-leap) year?
number of times overloaded = .................... 2920?
I multiplied 8 by 365 to get 2920; is this assumption correct , or am I missing something? thanks for any help.