2. Suppose an exam consists of multiple-choice questions, with each question having 5 options. Exactly one of the ve options is the correct answer. Suppose 20 points are awarded for a correctly answered question. (a) How many points should be deducted for an incorrectly answered question, so that for a student guessing randomly, the expected score on a question is zero? (b) If a student is able to correctly eliminate one option as a possible correct answer but is still guessing randomly, what happens to his {her expected score for that question? Use your answer to (a) as the number of points being deducted for an incorrect