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Competitive Stats
Q12Section I (General (compulsory))12 of 84

Chebyshev: P[∣X−EX∣>1]≤Var⁡X/12P[|X-EX|>1]\le\operatorname{Var} X/1^2

Let X be a r.v. such that variance of X is 12\tfrac12. Then, an upper bound for P[∣X−EX∣>1]P[|X-EX|>1] as given by the Chebychev's inequality is:

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