only part d EU3

Let Y be a random variable with probability density function given by = 2(1y), OSyS 1, fly) {0, elsewhere. (a) Find the density function of U1 = 7Y 6. 2(1 u) 49 ' fU1(u) = V 0 , elsewhere vl (b) Find the density function of U2 = 6 7Y. 2(1+u) _ 49 . , S rug\") = v 0 , elsewhere a! (C) Find the density function of U3 = Y2. 1 ( a ' 1) ' fusw) = v I (d) Find E(U1), E(U2), and E(U3) by using the derived density functions for these random variables. (Round your answers to three decimal places.) 5w.) = m- 5w = _ 5w = _x IA 1' \\I E 'I' I (e) Find E(U1), E(U2), and E(U3) by the methods of Chapter 4. (Round your answers to three decimal places.) aw.) = I 5w.) = I 5w = I