Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for t aircraft. The aircraft can carry 36 passengers, and a flight has fuel and baggage that allows for a total passenger load of 5,832 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mea 5,832 lb weight of the passengers is greater than = 162 lb. What is the probability that the aircraft is overloaded? 36 Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 179 lb and a standard deviation of 37.2. A

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
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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 5,832 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean
5,832 lb
weight of the passengers is greater than
= 162 lb. What is the probability that the aircraft is overloaded?
36
Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men are normally
distributed with a mean of 179 lb and a standard deviation of 37.2.
4
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 36 passengers, and a flight has fuel and baggage that allows for a total passenger load of 5,832 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean 5,832 lb weight of the passengers is greater than = 162 lb. What is the probability that the aircraft is overloaded? 36 Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 179 lb and a standard deviation of 37.2. 4 The probability is approximately (Round to four decimal places as needed.)
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