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Two engineers, Geordi La Forge and Charles Tucker, are given access to 45 prototype car tires to test for mileage lifetime. Geordi tests all 45

Two engineers, Geordi La Forge and Charles Tucker, are given access to 45 prototype car tires to test for mileage lifetime. Geordi tests all 45 tires and determines that tire performance is normally distributed with an average lifetime of 60,000 miles and standard deviation of 8,000 miles. Their supervisor wants to tell the company's Board of Directors that this batch of prototype tires will last at least 50,000 miles. a) What can Geordi state about the tires lasting at least 50,000 miles? b) What can Geordi state about the mileage that 95% percentage of tires will last?

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