You need to integrate to find k.
I prefer 0's in my bounds so I'll integrate first wrt x
then
and
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!!