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A racing car consumes a mean of 103103 gallons of gas per race with a variance of 3636. If 3838 racing cars are randomly selected,

A racing car consumes a mean of 103103 gallons of gas per race with a variance of 3636.

If 3838 racing cars are randomly selected, what is the probability that the sample mean would differ from the population mean by less than 22 gallons? Round your answer to four decimal places.

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