The average number of miles (in thousands) that a car's tire will function before needing replacement is 71 and the standard deviation is 10. Suppose that 43 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution. b. What is the distribution of ¯x? ¯x ~ 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 71.7 and 73.7.    ? d. For the 43 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 71.7 and 73.7    ?

MATLAB: An Introduction with Applications
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The average number of miles (in thousands) that a car's tire will function before needing replacement is 71 and the standard deviation is 10. Suppose that 43 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution.

b. What is the distribution of ¯x? ¯x ~ 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 71.7 and 73.7.    ?

d. For the 43 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 71.7 and 73.7    ?

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