a) The probability density function of compound random variables X and Y is given below.

X & Y	0	1	2
0	0.1 2	0.4 2	0.0 6
1	0.2 1	0.0 6	0.0 3
2	0.07	0.02	0.0 1

Accordingly, the expected value, variance and calculate the standard deviation; 3. moment (3 = 0.0001) arithmetic measure the asymmetry relative to the average (a3 ) and 4th moment ( 4 = 0.006) arithmetic kurtosis measure relative to the mean (a4 ). Find and comment. Then, to determine whether variables X and Y are independent. Find the covariance (Cov (X, Y)) and Pearson correlation coefficient (pxy ).