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 represents the number of heads obtained. (a) (5 pts) List the possible outcomes of three coin tosses. What are the probabilities Pr[XPr (b) (10 pts) Compute EX] using the definition of expected value (i.e., without the use of indicator random (c) (10 pts) Let X, be an indicator random variable, whose value is 1 if the i-th toss resulted in heads. 1], Pr[x-2, Pr[X-3]? variables). Show your work. Define X in terms of X,'s and compute EX] using this expression. Show your worlk