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10 30 Px(x) 20 10 1 10 -2 -1 1 2 3 x Consider the PMF above and let A = {-2, -1, 3}.

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10 30 Px(x) 20 10 1 10 -2 -1 1 2 3 x Consider the PMF above and let A = {-2, -1, 3}. 2 (a) Calculate the probability that X falls into A, P[X E A]. (b) Calculate the probability that X2 exceeds 1, P[X2 > 1]. (c) Given that {X E A} occurs, what is the conditional probability that X2 exceeds 1, P[X21X E A]? (d) Determine the CDF Fx(x).

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