Question: An elevator has a placard stating that the maximum capacity is 1610 lb---10 passengers. So, 10 adult male passengers can have a mean weight of

An elevator has a placard stating that the maximum capacity is 1610 lb---10 passengers. So, 10 adult male passengers can have a mean weight of up to 1610 divided by 10 = 161 pounds. If the elevator is loaded with 10 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 161lb. (Assume that weights of males are normally distributed with a mean of 165 lb and a standard deviation of 35 lb.)

Does this elevator appear to be safe?

The probability the elevator is overloaded is?

(Round to four decimal places as needed.)

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