4. (25 points) In this part we will have mixed questions. (a) (10 points) We are given the sample space for X as $x = {0.9 +1.6 +2,...) and its PMF is given by px [+] = 0;" where : SX Determine .. (6) (10 points) We flip a fair coin 2x times. If we get than 3 heads we loose this game, otherwise we win. If X represents the outcome for winning or losing, determine the PMF of X and show that it is a valid PME (0) (5 points) We go to Taksim to find the first person from the city of Ankara. Let X represent the number of people week. If the probability of a person from Anlenen is 4 % determine XP-2X)