The population of weights for men attending a local health club is normally distributed with a mean of 184-lbs and a standard deviation of 28-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 6240-lbs. THE FIRST 3 ARE CORRECT I JUST NEED HELP WITH THE LAST QUESTION! Assume that there are 32 men in the elevator. What is the average weight beyond which the elevator would be considered overloaded? average weight = Correct 195 lbs What is the probability that one randomly selected male health club member will exceed this weight? P(one man exceeds) = Correct .3472 (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 evelator will be overloaded? P(elevator overloaded) = Correct .0131 (Report answer accurate to 4 decimal places.) HELP: If the evelator is full (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.)
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
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!
The population of weights for men attending a local health club is
THE FIRST 3 ARE CORRECT I JUST NEED HELP WITH THE LAST QUESTION!
Assume that there are 32 men in the elevator. What is the average weight beyond which the elevator would be considered overloaded?
average weight = Correct 195 lbs
What is the probability that one randomly selected male health club member will exceed this weight?
P(one man exceeds) = Correct .3472
(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 evelator will be overloaded?
P(elevator overloaded) = Correct .0131
(Report answer accurate to 4 decimal places.)
HELP: If the evelator is full (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.)
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