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Before every flight, the pilot must verify that the total weight of the load is...

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Basic Math

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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 6,384 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be168 lb. What is the probability that the aircraft is overloaded? Should the pilot take anyoverloaded if the mean weight of the passengers is greater than 6,384 lb/38 = 168 lb.action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 180.8 lb and a standard deviation of 35.7.The probability is approximately.(Round to four decimal places as needed.)

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