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# Tire Probability

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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.

https://brainmass.com/statistics/probability/tire-probability-4396

#### 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.