Consider a random experiment of tossing a biased coin three times. We assume that the tosses are indepen- dent of each other and the probability of a head is 0.2. Let X be the random variable whose value represent:s the number of heads obtained (a) (6 pts) List the possible outcomes of three coin tosses. What are the probabilities PrX 0], Pr[X1], Pr(X = 2]. Prix = 3)? variables). Show your work. Define X in terms of X's and compute E[X using this expression. Show your work. (b) (12 pts) Compute E[Xusing the definition of expected value (i.e., without the use of indicator random (c) (12 pts) Let Xi be an indicator random variable, whose value is 1 if the i-th toss resulted in heads