In probabilistic analysis, we often need to bound the probability that a random variable deviates far from its mean. There are various formulas for this purpose. These are called tail bounds. The weakest of these is the Markov bound , which states that for any nonnegative random variable X with mean µ = EX, Pr(X ≥ k) ≤ µ/k. (Miscellaneous Exercise 83). A… (More)

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