Grear Tire Company has produced a new tire with an estimated mean lifetime mileage of 36,500 miles.
Management also believes that the standard deviation is 5000 miles and that tire mileage is normally
distributed. To promote the new tire, Grear has offered to refund a portion of the purchase price if the
tire fails to reach 30,000 miles before the tire needs to be replaced. Specifically, for tires with a lifetime