Solve all parts hand written and show work

2. Let X and X be two random variables with the following joint PMF Y \\ X -2 -1 2 total 0 0.1 0.05 0.05 0.15 0.1 0.45 1 0.05 0.1 0.05 0.05 0.05 0.3 4 0.05 0.05 0.02 0.1 0.03 0.25 total 0.2 0.2 0.12 0.3 0.18 1 1) Find E [X] and E[Y]. (10 points) 2) What is the covariance of X and Y? (20 points) 3) Are X and Y independent? Explain. (10 points)