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The average number of miles in thousands that a car s tire will function before...

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The average number of miles in thousands that a car s tire will function before needing replacement is 72 and the standard deviation is 10 Suppose that 12 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 a 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 76 and 79 3 d For the 12 tires tested find the probability that the average miles in thousands before need of replacement is between 76 and 79 3 e For part d is the assumption that the distribution is normal necessary Yes No

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