Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times on any given day. Let Y denote the number of times a technician is called on an emergency call. Their joint probability distribution is given as x f(x, y) 123 y 1 3 5 0.05 0.05 0.00 0.05 0.10 0.20 0.10 0.35 0.10 (a) Evaluate the marginal distribution of X. (b) Evaluate the marginal distribution of Y . (c) Find P(Y =3| X = 2).