Please answer each step correctly.

Suppose X and Y are independent random variables each having expected value 5 and standard deviation 3. Calculate a) VAR(2X-3Y+5) = b) E(2X-3Y+5)= c) Suppose, furthermore you know that X and Y are normal random variables. Describe the probability model for X+Y. (You need to give its name, if possible, and clearly state the values of its parameters.) d) Ifyou were told that Cov(X,Y) = 4, and that X and Y are not independent, what would Var(XY) be