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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 39 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6,357 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 6,357 lb passengers is greater than 39 163 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 175.8 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. OB. Yes. Because the probability is high, the pilot should take action by somehow reducing the weight of the aircraft.

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 39 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6,357 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 6,357 lb passengers is greater than 39 163 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 175.8 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. OB. Yes. Because the probability is high, the pilot should take action by somehow reducing the weight of the aircraft.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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 39 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6,357 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 6,357 lb passengers is greater than 39 163 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 175.8 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. OB. 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 39 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6,357 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 6,357 lb passengers is greater than 39 163 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 175.8 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. OB. Yes. Because the probability is high, the pilot should take action by somehow reducing the weight of the aircraft.
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