Suppose we have a multiple choice quiz with 10 questions, each of which has 4 options (of which only one is correct). Suppose I answer each multiple choice question by completely guessing. Let X be the number of correct answers. (a) State the distribution of X, with it's parameter(s). (b) Find the probability I get exactly 8 of the answers right. (c) Find the probability I pass the quiz if I only need 30% to pass