Question

Let x and y have joint density f(x,y) = c(x^2-y^2)e^-y range -y<= x <=y



0 otherwise



(i). find c (you may leave unevaluated, if you write it in explicit terms involving an integral).



(ii). compute the marginal densities of x and of y (be explicit about all cases!).



(iii). compute p(y > 2x).



(iv). compute e(x).

Answer 1

computep(y>2x).......................