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An elevator has a placard stating that the maximum capacity is 2310 lb15 passengers adult male passengers can have a mean weight of up to

An elevator has a placard stating that the maximum capacity is 2310 lb15 passengers adult male passengers can have a mean weight of up to 2310/15=154pounds. If the elevator is loaded with 15 adult malepassengers, find the probability that it is overloaded because they have a mean weight greater than 154 lb.(Assume that weights of males are normally distributed with a mean of 161 lb and a standard deviation of 26lb.) Does this elevator appear to besafe?

The probability the elevator is overloaded is

(Round to four decimal places asneeded.)

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