The level of nitrogen oxides (NO_x) in the exhaust of cars of a particular model varies Normally, with mean 0.25 gram per mile (g/mi) and standard deviation 0.05 g/mi. Government regulations call for NO_x emissions no greater than 0.3 g/mi. What is the probability that the NO_x emissions from a single car of this model fails to meet the NO_x government regulations?

Question

Quizplus · Accepted Answer

The probability that a car fails to meet the regulations is the probability that NOx emissions exceed 0.3 g/mi. Using the standard normal distribution, we find P(X > 0.3) = P(Z > (0.3-0.25)/0.05) = P(Z > 1) = 0.1587.

The Level of Nitrogen Oxides (NOx) in the Exhaust of Cars

The Level of Nitrogen Oxides (NO_x) in the Exhaust of Cars