2. Oh no! There's a pop quiz today, and you haven't even opened the textbook for the course. There are seven questions, and each question is a multiple choice question with four possible options. Imagine that, with not a shred of knowledge to inform your decisions, you select your answers at random. For this question, please feel free to make use of the following probability distribution function: Pi" 0301 Table Q2: Probability Distribution function, X M B (n = 7,10 = .25). a) A score of 4 or greater will allow you to pass the test. Determine the probability that you pass the test. b) Determine the probability that your score is 3 or 4. c) Determine the probability that you got a perfect score of 7 GIVEN that you passed the test. d) Determine the probability that you got only one question correct GIVEN that you failed the test. e) Determine the expected value of your score on this test. You may use 'shortcut formulas' that apply to this probability distribution