Before every flight, the pilot must verify that the total weight of the load is

Question

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 37 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6,031 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 than7 action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 172.4 lb and a standard deviation of 39.5. The probability is approximately Round to four decimal places as needed.) 6,031 lb - 163 lb. What is the probability that the aircraft is overloaded? Should the pilot take any

Explanation / Answer

Sol:

P(X>163)

mean=172.4

sd=39.5

z=x-mean/sd

=172.4-163/39.5

z=0.24

P(Z>0.24) to be found

P(Z>0.24)

=1-P(Z<0.24)

=1-0.5948

=0.4052

ANSWER:0.4052

THE PROBABILITY IS APPROXIMATELY 0.4052

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