Unformatted text preview: 2 2 (X  p)2 and let r = k ox for a given k > 0. Then Markov's theorem says Usually, the theorem is written in the equivalent forrn 1 P(IXpl2ko)G k2 Proof of Markov's Theorem: By definition p = C xf (x) = C xf (x) + C xf (x) 2 C xf (x) , and all {xlx<r> {xlx>r) {xIx'r) X...
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 Spring '08
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 Standard Deviation, Variance, Chebyshev's inequality, Pafnuty Chebyshev

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