Page 13 Question 1 (2.5, 2.5 marks) (a) If X and Y are independent random variables with E(X") =10, Var(X") =4. E(Y) =12 and Var(Y) =3, If W =-2X +Y Find E(W)and STD(W) (b) If X and Y are not independent, with E(X) = 10, Var(X) =5, E(Y) =18, Var(Y) =3 and Cov(X,Y) =-2. If W = x -2Y Find E(W)and STD(W)