Apply Markov's inequality with to obtain
(1)
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Therefore, if a random variable has a finite mean and finite variance , then for all ,
(2)
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(3)
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Apply Markov's inequality with to obtain
(1)
|
Therefore, if a random variable has a finite mean and finite variance , then for all ,
(2)
| |||
(3)
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Weisstein, Eric W. "Chebyshev Inequality." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ChebyshevInequality.html