Question: Random variable $X$ and $y$ have joint PDF $$ f_{X, Y} (x, y)=left{begin{array}{11} 6 e^{-(2 x+3 y);, & x geq 0, y geq 0 .

$Random variable $X$ and $y$ have joint PDF $$ f_{X, Y}$

Random variable $X$ and $y$ have joint PDF $$ f_{X, Y} (x, y)=\left\{\begin{array}{11} 6 e^{-(2 x+3 y);, & x \geq 0, y \geq 0 . \\ 0, & \text {, otherwise. } \end{array} ight. $$ (a) Find $\mathrm{P][X>Y]$ and $\mathrm{P][X+Y \leqq 1]$. (b) Find $\mathrm{P][\min (X, Y) \geqq 1]$. (c) Find $\mathrm{P] [\max (X, Y) \leqq 11$. SP.PC.0701

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