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 35 ​passengers, and a flight has fuel and baggage that allows for a total passenger load of 5,845 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 (5,845 lb/35)=167lb. 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 180.9 lb and a standard deviation of 35.1. 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.

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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 35 ​passengers, and a flight has fuel and baggage that allows for a total passenger load of 5,845 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
(5,845 lb/35)=167lb. 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 180.9 lb and a standard deviation of
35.1.
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.
 
 
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