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For some statistical report 10000 numbers must be added. Each number is rounded up to +0.5 10-m precision. Assume that each rounding is uniform

For some statistical report 10000 numbers must be added. Each number is rounded up to +0.5 10-m precision. Assume that each rounding is uniform and independent. Find the interval in which, with the 99.7% certainty, the total error lies.

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