The Layton Tire and Rubber Company wishes to set a minimum mileage guarantee on its new MX100 tire. Tests reveal the mean mileage is 67900 with a standard deviation of 2050 miles and that the distribution of miles follows the normal distribution. They want to set the minimum guarantee mileage so that no more than 4 percent of tires will be replaced. What minimum guaranteed mileage should Layton announce?
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