Markov's and Chebyshev's Inequalities

Markov's and Chebyshev's Inequalities

Select Inequality:

Markov's Inequality Chebyshev's Inequality

Select Population Distribution Shape:

Enter t (t > 0 and t should be greater than the mean):

Enter k (k > 0):

Markov's Inequality:

If X is a random variable that only takes non-negative values, then the probability that X takes a value greater than or equal to t is less than or equal to its expected value divided by t.

Chebyshev's Inequality:

The probability that X deviates from its mean μ by at least k standard deviations is less than or equal to 1/k^2

Adjust parameters to observe...