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In: Statistics and Probability

The population of weights for men attending a local health club is normally distributed with a...

The population of weights for men attending a local health club is normally distributed with a mean of 180-lbs and a standard deviation of 25-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 6112-lbs.

Assume that there are 32 men in the elevator. What is the average weight of the 32 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 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) =____________
(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 = _________________
(Report answer rounded to the nearest whole number.)

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orchestra answered 1 year ago
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