10. For r and y binary digits (0 or 1), let (this operation is called exclusive or (often abbreviated to XOR), or addition mod 2). (a) Let X~Bern(p) and Y ~ Bern(1/2), independently. What is the distribution of (b) Is Xy independent of X? Is Xy independent of y ? Be sure to consider both the case p = 1 /2 and the case p1 /2