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 42 passengers, and a flight has fuel and...

Extracted text: 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 42 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6,720 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight 6,720 lb of the passengers is greater than 42 = 160 lb. What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 173.2 lb and a standard deviation of 39.6. The probability is approximately. (Round to four decimal places as needed.)