Hello..

Im having some difficulties in my statistics questions..

Consider the function f() given by f(x,y)=k(k−1)(y−x)^(k−2), 0<x<y<1.

-Verify that if k ≥ 2 is an integer, f() is a bivariate density.

-Find the marginal densities of X and Y .

-Find E(X|Y ).

-Find E(X^2|Y = y) and V ar(X|Y ).

...it will be great if you help me at least one question.. : )...

Thank you!!