Consider two random variables X$,$ Y with joint c$.$d$.$f$.$

FXY $($x$,$ y$)=$

$$

$0$ if x $0$ or y $0$

$1$ if x $1$ and y $1$

exp$($log$($x$))2+($log$($y$))21/2$ if$0$x$,$ y $1$

x if$0$x $1,$ y $>1$

y ifx $>1,0$y $1$