Question: 9. (a) Show that p(x) = ! |x| + 1 2 /27, x = 2, 1, 0, 1, 2, is the probability mass function of

9.

(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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