Question

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

The population of weights for Mann attending a local health club is normally distributed with a mean of 168-lbs and a standard deviation of 27lbs. an elevator in the health club is limited to 32 occupants but it will overload if the total weight is in excess of 5824-lbs.
What is the probability that one randomly selected male health club member will exceed this weight? Report your answer accurate to the four decimal place. p(one man exceeds)=______

If we assume that 32 male occupant in the elevator are the result of a random selection, find the probability that the elevator will be overloaded? Report your answer to the accurate 4 decimal places
p(elevator overload)=_______

If the elevator is full (on average) eight times a day how many times will the elevator be overloaded and one (non-leap) year?
number ot times overloaded=_______
Report answer in to the nearest whole number

is there a reason for concern?
_ no, the current overload limit is adequate to ensure the safety of passengers
_ yes, the current overload limit is not adequate to ensure the safety of passengers

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