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12:53 PM Thu Mar 10 mylHACCiedu - Portal www-awu.aleks.com a @ McGraw-Hill ALEKS - MATH-202-... A ALEKS - Tinika Dekeyser O RANDOM VARIABLES AND DISTRIBUTIONS Normal distribution: Finding a mean or standard deviation Suppose that the lifetimes of tires of a certain brand are normally distributed with a mean of 75,000 miles and a standard deviation of miles. These tires come with a 55,000-mile warranty. The manufacturer of the tires can adjust during the production process, but the adjustment of G is quite costly. The manufacturer wants to set o once and for all so that only 5% of the tires will fail before warranty expires. Find the standard deviation to be set. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place. miles x