3. (6 pta) Suppose that X and Y are uncorrelated random variables with respective variances of and of Define new random
Posted: Sat Feb 26, 2022 10:57 am
3. (6 pta) Suppose that X and Y are uncorrelated random variables with respective variances of and of Define new random variables U=X+Y and V=X-Y. (a) Find Var(U), Var(V), and Cov(UV) in terms of of and oz. (b) Find an expression for the coefficient of correlation between U and V. (c) Is it possible that Cov(UV) =0? When does this occur?