Chebyshev's inequality

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Chebyshev's inequality

(ˈtʃɛbɪˌʃɒfs)
n
(Statistics) statistics the fundamental theorem that the probability that a random variable differs from its mean by more than k standard deviations is less than or equal to 1/k2
[named after P. L. Chebyshev (1821–94), Russian mathematician]
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By Chebychev's inequality, we have, for s [member of] [0, [[epsilon].sub.2]],