# In 2017, the entire fleet of light‑duty vehicles sold in the United States by each manufacturer...

###### Question:

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 86 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 82 mg/mi and standard deviation 5 mg/mi. (

a) What is the probability that a single car of this model emits more than 86 mg/mi of NOX + NMOG? (Enter your answer rounded to four decimal places.) probability:

(b) A company has 25 cars of this model in its fleet. What is the probability that the average NOX + NMOG level ?¯ of these cars is above 86 mg/mi? (Enter your answer rounded to four decimal places.)

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