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 36 ​passengers, and a flight has fuel and baggage that allows for a total passenger load of 6 comma 012lb. 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 StartFraction 6 comma 012 lb Over 36 EndFraction equals 167 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 172.2 lb and a standard deviation of 38.2   a. The probability is approximately ​(Round to four decimal places as​ needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
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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 36 ​passengers, and a flight has fuel and baggage that allows for a total passenger load of 6 comma 012lb. 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 StartFraction 6 comma 012 lb Over 36 EndFraction equals 167 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 172.2 lb and a standard deviation of 38.2

 

a. The probability is approximately

​(Round to four decimal places as​ needed.)

 

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