# Tire Probability

A tire company made a sampling distribution on one of its brands of tires and determined that the tire had a mean life of 56,000 miles with a standard deviation of 18,100 miles.

a. What is the probability that the life of a single tire will be less than 50,000 miles?

b. What is the probability that the mean life of a sample of 100 tires will be less than 50,000 miles?

c. The company also wants to give a reasonable warranty on this tire, yet protect itself so that the company won't have to replace more than 9% of the tires.

What guaranteed lifetime (in miles) should the company state in its advertisements for the tire

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#### Solution Summary

The solution address a tire company made a sampling distribution on one of its brands of tires and determined that the tire had a mean life of 56,000 miles with a standard deviation of 18,100 miles.

a. What is the probability that the life of a single tire will be less than 50,000 miles?

b. What is the probability that the mean life of a sample of 100 tires will be less than 50,000 miles?

c. The company also wants to give a reasonable warranty on this tire, yet protect itself so that the company won't have to replace more than 9% of the tires.

What guaranteed lifetime (in miles) should the company state in its advertisements for the tire