Before everyflight, 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 39 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6,279 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 6,279lb39=161 lb. What is the probability that the aircraft isoverloaded? Should the pilot take any action to correct for an overloadedaircraft? Assume that weights of men are normally distributed with a mean of 181.5 lb and a standard deviation of 37.9.

The probability is approximately

nothing

.

(Round to four decimal places asneeded.)

Should the pilot take any action to correct for an overloadedaircraft?

A.

No. Because the probability ishigh, the aircraft is safe to fly with its current load.

B.

Yes. Because the probability ishigh, the pilot should take action by somehow reducing the weight of the aircraft.