Question: 1. The joint probability density function of $X$ and $y$ is given by $$ f(x, y)=cleft(y^{2}-x^{2} ight) e^{-2 y}, quad-y leq x leq y, quad

1. The joint probability density function of $X$ and $y$ is

1. The joint probability density function of $X$ and $y$ is given by $$ f(x, y)=c\left(y^{2}-x^{2} ight) e^{-2 y}, \quad-y \leq x \leq y, quad O

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