Random variables x and y have the joint density function
fxy(x,y)={ (a(2x+y)^2)/20 -1 < x < 1 -3 < y < 3}
{ 0 elsewhere }
a) Find the value of the constant a
b) Find all the second order moments of X and Y
c) What are variances of X and Y
d) What is the correlation coefficient