Random variable $X$ and $y$ have joint PDF $$ f_{X, Y}(x, y)=\left\{\begin{array}{11} 6 e^{-(2 x+3y)}, & x \geq 0, y \geq 0.1 0, & \text {, otherwise. } \end{array} ight. $$ (a) Find $\mathrm{P}[X>Y]$ and $\mathrm{P}[X+Y \leqq 1]$. (b) Find $\mathrm{P][\min (X, Y) \geqq 1]$. (c) Find $\mathrm{P}C\max (X, Y) \leqq 1]$. SP.PC.0701