Problem 8 A coin is tossed twice. Let X denote the number of heads on the first toss and Y the total number of heads on the 2 tosses. If the coin is unbalanced and a head has a 30% chance of occurring, a) Find the joint probability distribution f(x, y) of X and Y. b) Find the marginal probability distributions of X and Y, i.e. fx (r), and fy (y). c) Find P(Y>X), P(Y=1|X=0).