Hi please use the given information to answer each part of the problem and please include any drawing, or steps/formulas to improve my understanding of the problem if necessary. Thank you! Please do not repost response from other post.

Variance and correlation Let X and Y be two r.V.S. (a) If Var(X + 3Y) = Var(X - 3Y), must X and Y be uncorrelated? (b) If Var(X) = Var(Y), must X and Y be uncorrelated? (c) Find the sense of the following inequality: 2, =, or 0. (d) Let X and Y have correlation coefficient px,y. What is the correlation coefficient between X and al + b, where a, b are constants with a > 0