3. (20 points) Let X be a discrete random variable with the following PMF 0.1 0.4 p(x) = 0.3 for x = 0 for x= = 1 for x
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3. (20 points) Let X be a discrete random variable with the following PMF 0.1 0.4 p(x) = 0.3 for x = 0 for x= = 1 for x
3. (20 points) Let X be a discrete random variable with the following PMF 0.1 0.4 p(x) = 0.3 for x = 0 for x= = 1 for x = = 2 for x = = 3 otherwise 0.2 0 a) Find the expected value and variance of X. b) If Y = (X – 2)2, find the expected value of Y. c) (Bonus, 5 points) Let Y = X(X – 1)(X – 2). Find the PMF of Y. =
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