Mileage ratings for cars and trucks generally come with a qualifier stating actual mileage will depend on driving conditions and habits. Ford is stating the Ecoboost F-150 pickup truck will get 19 miles per gallon with combined town and country driving. Assume the mean stated by Ford is the actual average, and the distribution has a standard deviation of 3 mpg.
a. Given the above mean and standard deviation, what is the probability that 100 drivers will get more than 19.2 miles per gallon average?
b. Suppose 1,000 drivers were randomly selected. What is the probability the average obtained by these drivers would exceed 19.2 mpg?