Suppose X is a continuous random variable with range range(X) = ℝ, whose density fx is proportional to |x|e^(-x^2) (a) Find and plot the density fx. (b) Compute the cumulative distribution function Fx. (c) Compute the probability of X ∈ [1, 3] (approximate to 4-th decimal place). (d) Find the expected value and variance of X.