The average number of miles (in thousands) that a car's tire will function before needing replacement is 68 and the standard deviation is 12. Suppose that 6 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 T? ~ N( 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 64.8 and 71.7. d. For the 6 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 64.8 and 71.7.

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