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The quality control manager at a computer manufacturing company believes that the mean life of a computer is 8181 months, with a variance of 6464.

The quality control manager at a computer manufacturing company believes that the mean life of a computer is 8181 months, with a variance of 6464.

If he is correct, what is the probability that the mean of a sample of 5858 computers would differ from the population mean by less than 2.792.79 months? Round your answer to four decimal places.

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