The population of weights for men attending a local health club is normally distributed with a mean of 185-lbs and a sta

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The Population Of Weights For Men Attending A Local Health Club Is Normally Distributed With A Mean Of 185 Lbs And A Sta 1 (109.46 KiB) Viewed 16 times

The population of weights for men attending a local health club is normally distributed with a mean of 185-lbs and a standard deviation of 28-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 6766-Ibs. a) Assume that there are 34 men in the elevator. What is the average weight beyond which the elevator would be considered overloaded? average weight = Ibs b) What is the probability that one randomly selected male health club member will exceed this weight? Plone man exceeds) = (Report answer accurate to 4 decimal places.) c) If we assume that 34 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.) d) If the elevator is full on average) 7 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.) e) Is there reason for concern? yes, the current overload limit is not adequate to insure the safey of the passengers O no, the current overload limit is adequate to insure the safety of the passengers