Random variables X and Y have a joint PDF:
f(x) = 4xy, 0 ≤ x ≤ 1; 0 ≤ y ≤ 1 1
0, else.
(a) What are E[X], E[Y], Var[X] and Var[Y]?
(b) What is Cov[Χ, Υ]?
(c) What is E[X + Y]?
(d) What is Var [X + Y]?