Consider the bivariate density f(x,y)=c(x+y) for 0<=x<1, 0<=y<1
a) Obtain the appropriate normalization constant c.
b) Obtain the marginal densities for X and Y, and calculate their means and variances.
c) Obtain the covariance between X and Y, and check whether the random variables are independent.
d) Obtain the conditional distribution of Y, given that X=x