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Whereas F(x) increases to 1 as x → ∞, and decreases to 0 as x → −∞, the tail F(x) decreases to 0 as x → ∞ and increases to 1 as x → −∞. .zdph 1nuxpdk 8qlyhuvlw\ ri 6flhqfh 7hfkqrorj\ .xpdvl *kdqd he/d î w. Z W l l Á Á Á X } Z X P } À lW µ o } v l } Z ï í ô ò X ( z E } o l Z } v Æ X.

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Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube. æ Y D D K Á l b ó ~ Ý q Q !. It’s plain that (X −EX)2 ≥ 0, so applying the Markov inequality gives Pr (X −EX) 2≥ a ≤ Var(X) a2 Taking the square root of the term inside the left-hand side, Pr(|X −EX| ≥ a) ≤ Var(X) a2.

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