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 and baggage that allows for a total passenger load of 6,396 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 6,396 lb = 164 lb. What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume that 39 weights of men are normally distributed with a mean of 182.4 lb and a standard deviation of 39.7. passengers is greater than 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
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 23PFA
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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 6,396 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
6,396 lb
passengers is greater than
39
= 164 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 182.4 lb and a standard deviation of 39.7.
The probability is approximately
(Round to four decimal places as needed.)
View an example Get more help-
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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 6,396 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 6,396 lb passengers is greater than 39 = 164 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 182.4 lb and a standard deviation of 39.7. The probability is approximately (Round to four decimal places as needed.) View an example Get more help- من E D C 80 - 54 888 R F V % 5 T G B MacBook Air Y H Fo N & 24 U J FP * 8 M 9 H FO O L command P Clear all alt option FIT { [ ? Check answer } 1 delete ent ret
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