Let X be the random variable where Pr(X = x) = 1/6 for x = 1, 2,

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Let X be the random variable where Pr(X = x) = 1/6 for x = 1, 2, 3, .. ., 6. (Here X is a uniform discrete random variable.) Determine
(a) Pr(X > 3).
(b) Pr(2 < X < 5);
(c) Pr(X = 4|X > 3).
(d) E(Z).
(e) Var(Z).
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