Tchebysheff's theorem

In probability theory, we find, A rule that's truly quite divine. Chebyshev's Inequality it's called, To keep our numbers neatly installed. When a random variable we see, With finite variance, it may be, The probability of deviation, From its mean, without hesitation. By a constant, let's call it k, The deviation we shall say, The probability that it's more, Than k times the standard deviation score. Is at most, oh what a delight, One divided by k squared, just right. This rule is handy, it's plain to see, For any probability distribution, you see. Just like the 68-95-99.7 rule, That applies to normal distributions, so cool. Chebyshev's Inequality is broader, With 75% and 88.89% order. Within two and three standard deviations, We find a minimum of our observations. So remember this rule, my dear, When probabilities you need to steer. Chebyshev's Inequality is quite grand, A useful tool in probability land. With Markov's inequality close at hand, Mathematical wonders, oh so grand! Random page: GU-Q