The average number of miles (in thousands) that a car's tire will function before needing replacement is 65 and the standard deviation is 13. Suppose that 13 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N b. What is the distribution of ? - N NO c. If a randomly selected individual tire is tested, find the probability that the number of miles (in thousands) before it will need replacement is between 69.4 and 73.5. d. For the 13 tires tested, find the probability that the average riles (in thousands) before need of replacement is between 69.4 and 73.5. e. For part d), is the assumption that the distribution is normal necessary? O No Yes