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 37 passengers, and a flight has fuel and baggage that allows for a total passenger load of 5994 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 5994 lb/37=162lb. 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 174lb and a standard deviation of 37.1. The probability is approximately
​(Round to four decimal places as​ needed.)
Should the pilot take any action to correct for an overloaded​aircraft?
A. No. Because the probability is​ high, the aircraft is safe to fly with its current load.
B. Yes. Because the probability is​ high, the pilot should take action by somehow reducing the weight of the aircraft.