The population of weights for men attending a local health club is normally distributed with a mean of 165-lbs and a standard deviation of 26-lbs. An elevator in the health club is limited to 34 occupants, but it will be overloaded if the total weight is in excess of 6018-lbs. Assume that there are 34 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 34 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.)
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
Assume that there are 34 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 34 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) 8 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
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