### Joint density...

The joint density of X and Y is given by f(x,y)= {xe to the power -(z+y) x>0, y>0 0 otherwise. Are X and Y independent? What if f(x,y) were given by f(x,y)= {2 0<x<y, 0<y<1 0 otherwise.

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The joint density of X and Y is given by f(x,y)= {xe to the power -(z+y) x>0, y>0 0 otherwise. Are X and Y independent? What if f(x,y) were given by f(x,y)= {2 0<x<y, 0<y<1 0 otherwise.

Given the attached equation, mathematically prove the second equation ...

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