lot sees that the plane is full and all passengers are men. Th pilot take any action to correct for an overloaded aircraft? As needed.)

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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
6,601 lb
passenger load of 6,601 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
= 161 Ib. What is the probability that the
41
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 183 Ib and a standard deviation of 37.6.
The probability is approximately
(Round to four decimal places as needed.)
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 6,601 lb passenger load of 6,601 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 = 161 Ib. What is the probability that the 41 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 183 Ib and a standard deviation of 37.6. The probability is approximately (Round to four decimal places as needed.)
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