Question: 4. Determine whether the following statements are True or False. Justify your answer with a proof or a counterexample as appropriate. (a) (8pts). If A

4. Determine whether the following statements are True or False. Justify your answer with a proof or a counterexample as appropriate. (a) (8pts). If A and B are disjoint events, then A" and B are independent. (b) (8pts). If X - N(1, 4), then P(X > -1) 2 1/2. (c) (9pts). For each pe [0, 1], if X ~ Ber(p) and Y = 1 - X, then Y ~ Ber(p)

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