Question: Problem 5 (12 points): Let X be a discrete random variable whose possible values are 1,2,3 with respective probabilities p1,p2,p3. If E[X]=2, find the values

Problem 5 (12 points): Let X be a discrete random

Problem 5 (12 points): Let X be a discrete random variable whose possible values are 1,2,3 with respective probabilities p1,p2,p3. If E[X]=2, find the values of p1,p2,p3 that maximize Var(X). (Hint: What is the sum of p1,p2, and p3 ? Set up a system of equations.)

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