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Let $f_{X,Y}(x,y)$ be constant on the region where $x$ and $y$ are nonnegative and $x+y?30$. Find the density $f_{Y}(y)$ of $Y$. Use the math typesetting button $(f_{x})$ in Bb to typeset your answer. You do not have to show any derivations, just provide the answer here in this short answer question. Please provide your derivation in the uploaded work.
Exercise 27.9 Let $f_{X,y}(x,y)$ be constant on the region where $x$ and $y$ are nonnegative and $x+y?30$. Find the conditional density $f_{X?Y}(x?y)$ of $X$ given $Y$. Just provide the answer here. Show your derivation in the uploaded work

given that the joint density function, fX,Y(x,y) is constant in given region x?0,y?0,x+y?30fX