The average number of miles (in thousands) that a car's tire will function before needing replacement is 72 and the standard deviation is 12. 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 ~ NBS) b. What is the distribution of :3? :3 ~ MED) c. If a randomly selected individual tire is tested, nd the probability that the number of miles (in thousands) before it will need replacement is between 69.2 and 71.2. [j d. For the 13 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 69.2 and 71 .2. I:] HINTS: x ~ Nl ii .0) :7: - N( p, ,a/) To find P(a