I need help with question..!

7. (10 points) Consider discrete random variables X and Y with joint probability mass function 2 3 5 6 y 0.15 0.15 0.05 0.0 0.0 0.2 0.05 0.1 0.1 0.0 0.15 0.05 (a) (3 points) Calculate P[3Y > X]. (a) (b) (3 points) Calculate E[X2Y]. (b) (c) (2 points) Calculate P[Y = 2 | X = 3]. (c) (d) (2 points) Are X and Y independent? (Your work should be a justification for your answer.) (d)