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An elevator can safely hold up to 16 people, with a combined weight of no more than 2600 pounds. Men in the U.S. have an
An elevator can safely hold up to 16 people, with a combined weight of no more than 2600 pounds. Men in the U.S. have an average weight of 185 pounds, with standard deviation 40 pounds. Suppose 16 U.S. men get into this elevator. Let Ybar be the average weight of these 16 men.
(a) What is the mean of Ybar?
(b) What is the standard deviation of Ybar?
(c) What is the probability that Ybar will be less than 180 pounds?
(d) What is the probability that the total weight of these 16 men will exceed the elevator's capacity of 2600 pounds?
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