Random variables X and Y follow joint distribution fxy 2 if


Random variables X and Y follow joint distribution

f(x,y) = {2 if 0 < x <= y < 1; 0 else

a) Find the marginal distribution for X and Y. Are they independent?
b) Find the means of X and Y, that is, E(X) and E(Y)
c) Find the covariance xy = Cov(X,Y)
d) Find the variance of X and Y.
e) Find the variance V(3X-Y+1)

Solution

 Random variables X and Y follow joint distribution f(x,y) = {2 if 0 < x <= y < 1; 0 else a) Find the marginal distribution for X and Y. Are they indep

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