For a new type of tire, a racing car team found the average distance a set of tires would run during a race is 170 miles, with a standard deviation of 12 miles. Assume that tire mileage is independent and follows a Normal model. a) If the team plans to change tires twice during a 500-mile race, what is the expected value and standard deviation of miles remaining after two changes? b) What is the probability they won't have to change tires a third time (and use a fourth set of tires) before the end of a 500 mile race? a) The expected value for miles remaining is ] miles. (Type an integer or decimal rounded to three decimal places as needed.)