There is given a 2D joint probability density function ƒ (x,y) = {a (2; = {a (2x + ²) iƒ 0 < x < 1 and 1 < y <2 if 0 otherwise Find: 1) Coefficient a 2) Marginal p.d.f. of X, marginal p.d.f. of Y 3) E(X), E (Y), E(XY) 4) Var(X), Var(Y) 5) σ(X), o (Y) 6) Cov(X,Y) 7) Corr(X,Y).