1. (5 pts) Let X be a random variable uniformly distributed over the set {100,101,102,,105}. We then find a biased coin with probability of heads X, and flip the coin and let Y be the result, i.e., Y{ X=x}Bern(x). (a) (2 pts) Find the probability mass function pY(y). (b) (3 pts) Find Pr(X=xY=1 ) in terms of x..