Question: [12 points] Suppose X~ (3, 8) and Y~ (5, 30), with Cov [X, Y]= 1.5

(a) [2 points] Are X and Y independent? How do you know?

(b) [5 points] Find E [X + Y] and E [5X ?3Y]

(c) [5 points] Find Var [X+Y] and Var[4X ?2Y]