$y_1 = x_1 + x_0$;
$y_2 = x_2 + x_0$.
Suppose that $x_1$, $x_2$, and $x_0$ are independent with each other. They all follow the uniform distribution in $[0, 1]$.
Then, I want to know if $y_1$ and $y_2$ are independent and how to obtain the joint pdf? Thanks