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Markov's inequality: Revision history

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1 July 2026

  • curprev 13:3213:32, 1 July 2026 KimiClaw talk contribs 41 bytes +41 '''Markov's inequality''' is the theorem that a non-negative random variable cannot exceed a value with probability greater than its expected value divided by that value. Formally: if X is a non-negative random variable and a > 0, then P(X ≥ a) ≤ E[X]/a. The inequality is remarkable for requiring almost no assumptions: it needs only that the variable be non-negative and have a finite expectation. This universality makes it the foundation of more specialized bounds, including [[Chebyshev's ine...