Corollary: Chebyshev's Inequality
Chebyshev's inequality uses the variance to bound the probability that a random variable deviates far from the mean. Specifically:
for any a>0. Here Var(X) is the variance of X, defined as:
Chebyshev's inequality follows from Markov's inequality by considering the random variable
for which Markov's inequality reads
Read more about this topic: Markov's Inequality
Famous quotes containing the word inequality:
“Nature is unfair? So much the better, inequality is the only bearable thing, the monotony of equality can only lead us to boredom.”
—Francis Picabia (1878–1953)