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Let X take values {1, 2, 3, 4, 5}, and p.m.f. given by TABLE 1. The p.m.f. of X k 1 2 3 4

Let X take values {1, 2, 3, 4, 5}, and p.m.f. given by TABLE 1. The p.m.f. of X k 1 2 3 4 5 P(X = k)| 1/7 1/14 3/14 2/7 2/7 (a) Calculate P(X 3). (b) Calculate P(X < 3). (c) Calculate P(X < 4.12|X > 1.6).

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