The population of weights for men attending a local health club is normally distributed with a mean of 182-ibs and a standard deviation of 30-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 6630-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 = Ibs 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 wil be overloaded? P(elevator overloaded) = (Report answer accurate to 4 decimal places.) If the evelator is fll (on average) 2 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? O no, the current overload limit is adequate to insure the safety of the passengers O yes, the current overload limit is not adequate to insure the safey of the passengers
The population of weights for men attending a local health club is normally distributed with a mean of 182-ibs and a standard deviation of 30-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 6630-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 = Ibs 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 wil be overloaded? P(elevator overloaded) = (Report answer accurate to 4 decimal places.) If the evelator is fll (on average) 2 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? O no, the current overload limit is adequate to insure the safety of the passengers O yes, the current overload limit is not adequate to insure the safey of the passengers
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
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Transcribed Image Text: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 normally distributed with a mean of
182-ibs and a standard deviation of 30-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 6630-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 =
Ibs
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 wil be overloaded?
P(elevator overloaded) =
(Report answer accurate to 4 decimal places.)
If the evelator is fll (on average) 2 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?
O no, the current overload limit is adequate to insure the safety of the passengers
O yes, the current overload limit is not adequate to insure the safey of the passengers
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