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 40 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6,680 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be 6,680 lb overloaded if the mean weight of the passengers is greater than 40 = 167 Ib. 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 179.7 lb and a standard deviation of 37.9. 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.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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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 40 passengers,
and a flight has fuel and baggage that allows for a total passenger load of 6,680 lb. The pilot sees that the plane is full and
passengers are men. The aircraft will be
overloaded if the mean weight of the passengers is greater than
6,680 lb
= 167 Ib. What is the probability that the aircraft is overloaded? Should the pilot take any
40
action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 179.7 Ib and a standard deviation of 37.9.
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.
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 40 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6,680 lb. The pilot sees that the plane is full and passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 6,680 lb = 167 Ib. What is the probability that the aircraft is overloaded? Should the pilot take any 40 action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 179.7 Ib and a standard deviation of 37.9. 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. B. Yes. Because the probability is high, the pilot should take action by somehow reducing the weight of the aircraft.
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