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 36 passengers, and a flight has fuel and baggage that allows for a total passenger load of 5,760 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 5,760 lb greater than 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 norma 36 distributed with a mean of 182.6 lb and a standard deviation of 37.4. The probability is approximately. Round to four decimal places as needed.) Should the pilot take any action to correct for an overloaded aircraft? OA. Yes. Because the probability is high, the pilot should take action by somehow reducing the weight of the aircraft. OB. No. Because the probability is high, the aircraft is safe to fly with its current load.

MATLAB: An Introduction with Applications
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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 36 passengers, and a flight has fuel and
baggage that allows for a total passenger load of 5,760 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
5,760 lb
= 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 normall
36
distributed with a mean of 182.6 lb and a standard deviation of 37.4.
greater than
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. Yes. Because the probability is high, the pilot should take action by somehow reducing the weight of the aircraft.
B. No. Because the probability is high, the aircraft is safe to fly with its current load.
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 36 passengers, and a flight has fuel and baggage that allows for a total passenger load of 5,760 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 5,760 lb = 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 normall 36 distributed with a mean of 182.6 lb and a standard deviation of 37.4. greater than 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. Yes. Because the probability is high, the pilot should take action by somehow reducing the weight of the aircraft. B. No. Because the probability is high, the aircraft is safe to fly with its current load.
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