4) Before every​ flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 38 ​passengers, and a flight has fuel and baggage that allows for a total passenger load of 6,346 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 6,346 lb38=167lb. a) What is the probability that the aircraft is​ overloaded? b) Should the pilot take any action to corr

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54) Before every​ flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 38 ​passengers, and a flight has fuel and baggage that allows for a total passenger load of 6,346 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 6,346 lb38=167lb.

a) What is the probability that the aircraft is​ overloaded?

b) Should the pilot take any action to correct for an overloaded​ aircraft? Assume that weights of men are normally distributed with a mean of 178 lb and a standard deviation of 37.1.

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