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Please answer both parts. Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load

Please answer both parts.

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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 38 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6, 118 lb 6,118 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 38 - = 161 lb. 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 181.8 lb and a standard deviation of 37.3. The probability is approximately]. (Round to four decimal places as needed.) Should the pilot take any action to correct for an overloaded aircraft? A. Yes. Because the probability is high, the pilot should take action by somehow reducing the weight of the aircraft. O B. No. Because the probability is high, the aircraft is safe to fly with its current load

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