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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 fo the aircraft. The aircraft can carry 41 passengers, and a flight has fuel and baggage that allows for a total passeng load of 6,560 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if t 6,560 lb = 160 lb. What is the probability that the aircraft mean weight of the passengers is greater than 41 is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men a normally distributed with a mean of 182.2 lb and a standard deviation of 36.1.

Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load fo the aircraft. The aircraft can carry 41 passengers, and a flight has fuel and baggage that allows for a total passeng load of 6,560 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if t 6,560 lb = 160 lb. What is the probability that the aircraft mean weight of the passengers is greater than 41 is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men a normally distributed with a mean of 182.2 lb and a standard deviation of 36.1.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 passenger load of 6,560 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the 6,560 lb 41 = 160 lb. What is the probability that the aircraft mean weight of the passengers is greater than 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 182.2 lb and a standard deviation of 36.1. The probability is approximately (Round to four decimal places as needed.) Should the pilot take any action to correct for an overloaded aircraft? A. No. Because the probability is high, the aircraft is safe to fly with its current load. B. Yes. Because the probability is high, the pilot should take action by somehow reducing the weight of the aircraft.
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 passenger load of 6,560 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the 6,560 lb 41 = 160 lb. What is the probability that the aircraft mean weight of the passengers is greater than 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 182.2 lb and a standard deviation of 36.1. The probability is approximately (Round to four decimal places as needed.) Should the pilot take any action to correct for an overloaded aircraft? A. No. Because the probability is high, the aircraft is safe to fly with its current load. B. Yes. Because the probability is high, the pilot should take action by somehow reducing the weight of the aircraft.
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