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The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 47,225 miles, with a standard deviation of 3178

The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 47,225 miles, with a standard deviation of 3178 miles.

What is the probability that the sample mean would be less than 47,050 miles in a sample of 208 tires if the manager is correct? Round your answer to four decimal places.

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