Detailed solution please

[7] 3. The joint probability function, f(x, y) of (X, Y) is given in the table below: I y 0 1 2 -2 10 .15 .10 0 .05 .1 .20 05 .10 .15 (2] a. Find the marginal distribution of X. Calculate the mean and variance of X. (3) b. Calculate the correlation coefficient, p, of X and Y. [2] c. Give two different arguments indicating whether or not X and Y are independent. Explain both