6.1 6.2 Let y be a random variable with probability density function given by 0 y 1, = {20 elsewhere. a b f(y) = Find the density function of U = 2Y - 1. Find the density function of U = 1-2Y. C Find the density function of U3 = Y. d Find E(U), E(U), and E(U3) by using the derived density functions for these random variables. Find E(U), E (U), and E(U3) by the methods of Chapter 4. Let Y be a random variable with a density function given by (3/2) y, -1 y 1, elsewhere. e 2(1-y), f(y) = -{(3/2)y, 0, a Find the density function of U = 3Y. b Find the density function of U = 3 - Y. C Find the density function of U3 = y.