Pregunta: If f(x,y)=0.5xy2+0.5yx2, and 0y),Pr(y>x), and Pr(x=y).

$\mathrm{f}(\mathrm{x},\mathrm{y})$ is non-negative for all x and y:

Since x and y are both greater than zero, the terms $0.5\mathrm{x}{\mathrm{y}}^2$ and $0.5\mathrm{y}{\mathrm{x}}^2$ are al...