b) The probability density function of continuous 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, after calculating c, calculate the expected value, variance and standard deviation; The 3rd moment (3 = 0.0005) measures the asymmetry measure (a3) according to the arithmetic mean and the 4th moment ( 4 = 0.004) Find and interpret the kurtosis measure (a4) according to the arithmetic mean. Then, find the covariance (Cov(X,Y)) and the Pearson correlation coefficient (pxy) to determine whether variables X and Y are independent.