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I was asked to find $P_{XY}(x,y)$ from the CDFs. I gave the answer as $P_{XY}(x,y)=F_{XY}(x,y)-F_{XY}(x-1,y-1)$. I was told that I was wrong. Can you please explain why?

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$F_{XY}(x,y) +F_{XY}(x-1,y-1) - F_{XY}(x,y-1)-F_{XY}(x-1,y) = P_{XY}(x,y)$

Draw a 2-D graph of this and you will understand.

Win Vineeth
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