Please show complete steps.

(a) determine the constant c so that f(x, y) satisfies the conditions of being a joint pmf for two discrete random variables X and Y; (b) compute the marginal pmfs of X and Y; (c) determine whether X and Y are independent or not; (d) compute E [X] , E [Y], Var [X] , Var [Y] , Cov [X; Y] , p(X, Y).f(x, y) = c(x ty), x E {1, 2, 3}, y e {1, . xf(x, y) = c(x + 2y), x E {1, 2}, y E {1, 2, 3}