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A tire company tested a particular model of super radial tire and found the tires to be normally distributed with respect to wear. The

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A tire company tested a particular model of super radial tire and found the tires to be normally distributed with respect to wear. The "average" (mean) tire wore out at 59,000 miles, and the standard deviation was 2500 miles. a. If 2000 tires are tested, about how many are likely to wear out before 54,000 miles? b. What if the company wanted to guarantee 55,000 miles? What percent of the tires are likely to wear out before 55,000 miles? In this case, you cannot get an "exact" answer. What could you do to increase the accuracy of your estimate?

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