Law of the Unconscious Statistician (LOTUS, Transfer Formula)If has Probability Density Function and is any function for which the integral exists, then Law of the unconscious statisticianIn probability theory and statistics, the law of the unconscious statistician, or LOTUS, is a theorem which expresses the expected value of a function g(X) of a random variable X in terms of g and the probability distribution of X.https://en.wikipedia.org/wiki/Law_of_the_unconscious_statistician