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(a) TRUE / FALSE If X is a random variable, then (E[X])^2 ≤ E[X^2]. (b) TRUE...

(a) TRUE / FALSE If X is a random variable, then (E[X])^2 ≤ E[X^2]. (b) TRUE / FALSE If Cov(X,Y) = 0, then X and Y are independent. (c) TRUE / FALSE If P(A) = 0.5 and P(B) = 0.5, then P(AB) = 0.25. (d) TRUE / FALSE There exist events A,B with P(A)not equal to 0 and P(B)not equal to 0 for which A and B are both independent and mutually exclusive. (e) TRUE / FALSE Var(X+Y) = Var(X) + Var(Y) + 2Cov(X,Y) (f) TRUE / FALSE Fo rZ∼N(0,1), P(Z >−1.2) ≈ 0.1151 (g) TRUE / FALSE If X is a Poisson random variable with parameter λ= 2, then E[X] = 2. (h) TRUE / FALSE If X is an exponential random variable with parameter λ= 2, then E[X] = 2.

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