Statistical question,?

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Stacie W

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A tire company did a sampling distribution on its truck tires and determined that the tires have a mean life of 40,000 miles with a standard deviation of 4,620 miles (3 pts. each).

a. What is the probability that the life of a single tire will be less than 39,200 miles?
b. What is the probability that the mean life of a sample of 100 tires will be less than 39,200 miles?
c. The company wants to give a reasonable warranty on this tire, yet protect itself so that they won't have to replace more than 7% of the tires. What guarantee (in miles) should the company state in its advertisement for the tires? Assume that the data is normally distributed.
 
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