Question: A discrete RV X takes on values in the set of all even integers (i.e., X = { ,4,2, 0, 2, 4, }). There is

A discrete RV X takes on values in the set of all even integers (i.e., X = { ,4,2, 0, 2, 4, }). There is an even integer 2n such that the PMF of X satisfies the following relationship: pX[2(ni)] = pX[2(n + i)] for i = 1, 2, . . .. What is the value of E[X]?

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