Suppose the continuous random variable X has probability density function f(x) = x^2/3 for -2 LT xLT 1, 0 else where. Find P{-2 LTX LT -1). Find E(X). Find V(X). Find the cumulative distribution function (cdf) of X, F(x). Be sure to define the cdf for all x (-infinity, infinity). Show F(x) using clear notation. The most common mistake for the cdf is forgetting the lower bound of the support set, which is -2 here. Solution.