The level of nitrogen oxides (NOX) in the exhaust of cars of a particular model varies Normally with mean 0.2 grams per mile (g/mi) and standard deviation 0.05 g/mi. Government regulations call for NOX emissions no higher than 0.3 g/mi.

a. What is the probability that a sing car of this model fails to meet the NOX requirement?

b. A company has 25 cars of this model in its fleet. What is the probability that the average NOX level (x bar) of these cars is above 0.3 g/mi limit?

a. What is the probability that a sing car of this model fails to meet the NOX requirement?

b. A company has 25 cars of this model in its fleet. What is the probability that the average NOX level (x bar) of these cars is above 0.3 g/mi limit?