Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowed load for the aircraft. The aircraft to carry 35 passengers and a flight has fuel and baggage settle allows for a total passengers load of 5705 pounds. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean way of the passengers is greater than 5705÷35=163lb what is the probability that the aircraft is overloaded to the pilot take any action to correct for an overloaded aircraft assume that way to men are normally distributed with a mean of 179.4 pounds and a standard deviation of 38.6.

MATLAB: An Introduction with Applications
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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 allowed load for the aircraft. The aircraft to carry 35 passengers and a flight has fuel and baggage settle allows for a total passengers load of 5705 pounds. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean way of the passengers is greater than 5705÷35=163lb what is the probability that the aircraft is overloaded to the pilot take any action to correct for an overloaded aircraft assume that way to men are normally distributed with a mean of 179.4 pounds and a standard deviation of 38.6.
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Step 1

From the provided information,

Mean (µ) = 179.4 pounds

Standard deviation (σ) = 38.6 pounds

X~N (179.4, 38.6)

Sample size (n) = 35

The aircraft will be overloaded if the mean way of the passengers is greater than 5705÷35=163lb 

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