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 Pr[X -0], Pr[X 1 Pr(X = 2]. Pr(X = 3)? (b) (12 pts) Compute E[X] using the definition of expected value (i.e., without the use of indicator random variables). Show your work