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Mathematics, 22.11.2021 14:00 raquelqueengucci25

An elevator has a placard stating that the maximum capacity is 2535lbs or 15 passengers. So, 15 adult male passengers can have a mean weight of up to 2535/15=169 pounds. If the elevator is loaded with 15 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 169lbs. (Assume that weights of males are normally distributed with a mean of 177lbs and a standard deviation of 29lbs.) Does this elevator appear to be safe? The probability the elevator is overloaded? Round to four decimal places as needed.

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