Math Is Fun Forum

Thanks for your effort. I have already seen that wikipedia page (I spent several days googling before posting here). For those who want to know, the Vysochanskiï-Petunin inequality is an inequality that bounds the probability that the value of a random variable with a unimodal distribution will be more than k standard deviations away from the mean i.e. (Pr( |x-a|>= kb) <= some bound), what I am interested in is a version that is one-tailed i.e.( Pr( (x-a)>= kb) <= some bound) without the modulus sign.