Question: Please see image for question. Problem 1. (20 points) Let X be a discrete random variable with the following prob- ability mass function: ax if

Please see image for question.

Problem 1. (20 points) Let X be a discrete random variable with the following prob- ability mass function: ax if x = 2, 4, 6 P( X = x) = a(x - 2) if x = 8 otherwise a. (5 points) Find a. b. (7 points) Find E[X]. c. (8 points) Find Var(X)

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