Two ballpoint pens are selected at random from a box that contains 3 blue pens, 2 red pens, and 3 green pens. If X is the number of blue pens selected and Y is the number of red pens selected.(a) Find the joint probability function f(x, y),(b) Find E(X), E(Y), Var(X), and Var(Y).(c) Find Cov(X, Y), Var(X + Y), and Corr(X, Y).(d) P((X, Y) ϵA), where A is the region {(x, y) | x + y ≤1}.