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 84 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. (a) What is the probability that a single car of this model emits more than 84 mg/mi of NOX + NMOG? (Enter your answer rounded to four decimal places.) probability: (b) A company has 36 cars of this model in its fleet. What is the probability that the average NOX + NMOG level x of these cars is above 84 mg/mi? (Enter your answer rounded to four decimal places.) probability:

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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 84 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.
(a) What is the probability that a single car of this model emits more than 84 mg/mi of NOX + NMOG? (Enter your
answer rounded to four decimal places.)
probability:
(b) A company has 36 cars of this model in its fleet. What is the probability that the average NOX + NMOG level ã of
these cars is above 84 mg/mi? (Enter your answer rounded to four decimal places.)
probability:
Transcribed Image Text: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 84 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. (a) What is the probability that a single car of this model emits more than 84 mg/mi of NOX + NMOG? (Enter your answer rounded to four decimal places.) probability: (b) A company has 36 cars of this model in its fleet. What is the probability that the average NOX + NMOG level ã of these cars is above 84 mg/mi? (Enter your answer rounded to four decimal places.) probability:
Expert Solution
Step 1

Given that ,

mean = \mu = 78

standard deviation = \sigma = 6

 

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