The average number of miles [in thousands} that a car's tire will function before needing replacement is as and the standard deviation is It). Suppose that 4? randomly:r 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 5:? 5: ~ N[:',:'} c. If a randoml'jlr selected individual tire is tested, find the probability.r that the number of miles [in thousands) before it will need replacement is between 64 and 53.]. :1 d. For the 4? tires tested, find the probabilityr that the average miles [in thousands} before need of replacement is between 64 and $3.3. :] e. For part d), is the assumption that the distribution is normal necessary? C! No0 'fes