Light vehicles sold in a country must emit an average of no more than 0.05 grams per mile (g/mi) of nitrogen oxides (NOX) after 50,000 or fewer miles of driving. NOX emissions after 50,000 or fewer miles of driving for one car model vary Normally with mean 0.02 g/mi and standard deviation 0.01 g/mi.(a) What is the probability that a single car of this model emits more than 0.05 g/mi of NOX? (Round your answer to four decimal places.)(b) A company has 49 cars of this model in its fleet. What is the probability that the average NOX level x of these cars is above 0.05 g/mi? (Round your answer to four decimal places.)The level of nitrogen oxides (NOX) in the exhaust after 50,000 miles or fewer of driving of cars of a particular model varies Normally with mean 0.09 g/mi and standard deviation 0.01 g/mi. A company has 36 cars of this model in its fleet. What is the level L such that the probability that the average NOX level x for the fleet is greater than L is only 0.01? (Hint: This requires a backward Normal calculation. Round your answer to three decimal places.) g/mi