Question 1

a) 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 F-150 pick-up truck will get 19 miles per gallon (mpg) with combined town and country driving.

Assume that the distribution is normal. The mean mileage stated by Ford is the actual average with a standard deviation of 3 mpg.

1. What is the probability that the drivers will get more than 19.2 mpg?
2. What is the probability that the drivers will get in between 18.5 and 19.2 mpg?
3. Determine the mpg for the top 10% of the drivers.
4. Suppose 100 drivers were randomly selected. What is the probability the average obtained
5. by these drivers would exceed 19.2 mpg?