2. An experiment consists of tossing a fair coin 4 times and recording the number of times it lands heads up. (a) Find the probability distribution for this experiment. (Note: Thc sample space for this experiment is S = {O, 1, 2, 3, 4}, but to find the probabilities of the simple ements you'll want to cnunt chamct,er strings madc up of the letters 'H' and 'T'.) (b) Is thc sample space uniform? Explain. (c) Usc the probability distribution you found in part (a) to find thc probability of the following two events. (a) Thc number of times thc coin lands heads up is bet,wccn I and 3, inclusive. (b) Thc number of times thc coin lands heads up is greater than 2.