1. Suppose the random variable Y has PDF fy(y) = 3y when 0

2. Suppose the random variable Y has PDF fy(y) = 3y2 when 0 < y < l, and zero otherwise. We want to find the PDF of U = (a) Find the CDF ofU, and use it to find the PDF oftJ. (b) Find the PDF of U using a short-cut formula. Let X be a continuous random variable with PDE Let Y = 1 X 4x3 0 < x I fx(x) = 0 (a) Find the CDF of Y, and use it to find the PDF ofY. (b) Find the PDF of Y using a short-cut formula.