Use the following function to answer the following questions:
f(x,y) = (2(x + 2y)) / 3 0 <= x <= 1 , 0 <= y <= 1
a) Find the marginal distribution of X.
b) Find the marginal distribution of Y
c) Find the meanof X
d) Find the mean of Y
e) Find the covariance of X and Y.
The solution contains some detailed explanation of finding the marginal distributions, means and covariance of a bivariate random variable.