0.25 Right - P ( right 1 and right 2 ) = 0.0625 Right and Question O. 25 First 0.75 wrong - P ( right I and wrong 2 ) = 0. 1875 Question 0.25 wrong right P ( wrong 1 and right 2 ) = 0. 1875 0.75 and Question 0.75 wrong - P ( wrong 1 and wrong 2 ) = 0.5625 P ( Both are right ) = 0.0625 P (one of the answers is right) = 0. 1875+ 0.1875 = 0.375 P ( Both are wrong ) = 0. 5625 . The probability that we get a right answer is O. 25 . The probability that we get a wrong answer is 0. 75 Question right (x) | 0 1 2 P(X) 0. 5625 0.375 0. 0625 The lexpected value is 0.5, the variance is o. 375/ and the Standard deviation is 0. 61241. You're taking a multiple-choice exam and you don't know the answers to two of the questions. Each question has four choices, so the probability of getting a question right by guessing is .25. Draw a tree diagram showing the probabilities of getting none, one, or both questions right by guessing. (3 points) 2 . Using the tree diagram you just constructed, make a table showing the probability distribution of getting zero, one, or both questions right by guessing. (3 points) 3 Find the expected value of the number of questions you'd get right by guessing. What are the variance and standard deviation? (3 points)