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 41 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6,560 lb. The pilot sees tha the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 6,560 lb = 160 lb. What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded 41 aircraft? Assume that weights of men are nommally distributed with a mean of 175.3 lb and a standard deviation of 39.9. ..... The probability is approximately (Round to four decimal places as needed.) Should the pilot take any action to correct for an overloaded 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 41 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6,560 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
6,560 lb
41
aircraft? Assume that weights of men are nomally distributed with a mean of 175.3 lb and a standard deviation of 39 9,
160 lb What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded
The probability is approximately
(Round to four decimal places as needed.)
Should the pilot take any action to correct for an overloaded aircraft?
O A. No. Because the probability is high, the aircraft is safe to fly with its current load,
O B. Yes. Because the probability is high, the pilot should take action by somehow reducing the weight of the aircraft.
Transcribed Image 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 41 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6,560 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 6,560 lb 41 aircraft? Assume that weights of men are nomally distributed with a mean of 175.3 lb and a standard deviation of 39 9, 160 lb What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded The probability is approximately (Round to four decimal places as needed.) Should the pilot take any action to correct for an overloaded aircraft? O A. No. Because the probability is high, the aircraft is safe to fly with its current load, O B. Yes. Because the probability is high, the pilot should take action by somehow reducing the weight of the aircraft.
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