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2870概率中等derivationmedium

Which Bound Is Better Here?

题目

A nonnegative random variable XX satisfies E[X]=1E[X]=1 and Var(X)=4\mathrm{Var}(X)=4. Compare the Markov and Chebyshev upper bounds on P(X5)P(X\ge 5), and say which one is tighter.

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你的答案

Markov bound

Chebyshev bound

Tighter bound