all of question 3

3. Let X denote the number of times a photocopy machine will malfunction: 0, 1, 2 or 3 times, on any given week. Let Y denote the number of times a technician is called on an emergency call. The joint p.m.f. p(x, y) is presented in the table below: X 0 3 Y 0 0.05 0.05 0.05 0.05 0.4 0.05 0.05 2 0 0.1 0.1 0.1 3.1. Find P(Y > X). 3.2. Find the marginal p.m.f. of X. 3.3. Find the marginal p.m.f. of Y. 3.4. Are X and Y independent? Find Cov(X, Y)