Ten thousand numbers are to be added, each rounded to the sixth decimal place. Assuming that the
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Ten thousand numbers are to be added, each rounded to the sixth decimal place. Assuming that the errors arising from rounding the numbers are mutually independent and uniformly distributed on (–0.5 × 10–6, + 0.5 × 10–6), find the limits in which the total error will lie with probability 95%.
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