The joint PDF of X and Y is
fX,Y(x,y)={1y,0<x<y,0<y<10,otherwise
To find the marginal PDF of Y seems straightforward enough:
fY(y)=∫y01ydx=[xy]x=yx=0=1
But when I try to find the marginal PDF of X I get stuck with what seems to be an undefined integral:
fX(x)=∫101ydy
Is there another way to find the marginal PDF of X?
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