In 2017, the entire fleet of light‑duty vehicles sold in the United States by each manufacturer must emit an average of no more than 8484 milligrams per mile (mg/mi) of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) over the useful life (150,000 miles of driving) of the vehicle. NOX ++ NMOG emissions over the useful life for one car model vary Normally with mean 78 mg/mi and standard deviation 6 mg/mi.     What is the probability that a single car of this model emits more than 84 mg/mi of NOX ++ NMOG? Give your answer to four decimal places. What is the probability?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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In 2017, the entire fleet of light‑duty vehicles sold in the United States by each manufacturer must emit an average of no more than 8484 milligrams per mile (mg/mi) of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) over the useful life (150,000 miles of driving) of the vehicle. NOX ++ NMOG emissions over the useful life for one car model vary Normally with mean 78 mg/mi and standard deviation 6 mg/mi.

 
 

What is the probability that a single car of this model emits more than 84 mg/mi of NOX ++ NMOG? Give your answer to four decimal places.

What is the probability?
 
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