Variance Definition(variance); The variance of a random variable X is VAr[X]=E[(X-E[X)2]=E[x2]-(EX])2 The standard deviation of random variable X is 6[X]=VVar[X]Variance Definition (variance): The variance of a random variable X is Var[X] = E (X E[X])2⇥ = E X2⇥ (E[X])2 . The standard deviation of random variable X is [X] = Var[X]