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 37 assengers, and a flight has fuel and baggage that allows for a total passenger load of 6,068 lb. The pilot sees that the plane is full and all passengers are men 6,068 lb = 164 lb. What is the probability that the aircraft is overloaded? 37 The aircraft will be overloaded if the mean weight of the passengers is greater than hould the pilot take any action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 173.1 lb and a standa leviation of 38.7. The probability is approximately Round to four decimal places as needed.)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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 37
passengers, and a flight has fuel and baggage that allows for a total passenger load of 6,068 lb. The pilot sees that the plane is full and all passengers are men.
6,068 lb
37
= 164 lb. What is the probability that the aircraft is overloaded?
The aircraft will be overloaded if the mean weight of the passengers is greater than
Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 173.1 lb and a standard
deviation of 38.7.
The probability is approximately
(Round to four decimal places as needed.)
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 37 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6,068 lb. The pilot sees that the plane is full and all passengers are men. 6,068 lb 37 = 164 lb. What is the probability that the aircraft is overloaded? The aircraft will be overloaded if the mean weight of the passengers is greater than Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 173.1 lb and a standard deviation of 38.7. The probability is approximately (Round to four decimal places as needed.)
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