A median of a distribution of one random variable, X, is a value of x of X, such that P(X=x) = 0.5. If there exists such a value, x, then it is called the median. Find the median of the following distribution if it exists. f(x) = 3x2 , 0 < x < 1 Solution f(x) = 3x2 p=integ 3x2 dx 0.