11. (a) Show that p(x) = ???? |x| + 1 2 /27, x = 2, 1, 0,...

Question:

11.

(a) Show that p(x) =

????

|x| + 1

2

/27, x = −2, −1, 0, 1, 2, is the probability mass function of a random variable X.

(b) Calculate E(X), E

????

|X|



, and E(2X2 − 5X + 7).

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