Before every flight. the pilot must verify (hat the total weight of the load is

Question

Before every flight. the pilot must verify (hat the total weight of the load is less than the mix i mom allow able load for the aircraft. The aircraft can a baggage that allows for a total passenger load of 6,216 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded greater than 6,216 ib/37 168 lb. What 11 the probability that the aircraft it overloaded'' Should the pilot laic any action to correct for an overloaded a normally distributed with a mean of 1786 lb and a standard deviation of 3S.I.The probability is approximately; (Round to four decimal places as needed.) Should the pilot take any action to correct for an overloaded aircraft? Yes. Because the probability is high, the pilot should take action by somehow reducing the weight of the aircraft. No. Because the probability is high, the aircraft is safe to fly with its current load.

Explanation / Answer

Standard error = sd/sqrt(n) =38.1/sqrt(37) =6.2636

Z value for 168, z =(168-178.6)/6.2636 = -1.69

P( mean x >168) = P( z >-1.69)

=0.9545

Answer A.

Yes, because the probability is high, the pilot should take action by somehow reducing the weight of the aircraft.

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