Question: 1. True or False (15 points, 3 points each) Determine whether each of the following statements is true or false by circling the corresponding word

1. True or False (15 points, 3 points each) Determine whether each of the following statements is true or false by circling the corresponding word below the statement. You do NOT need to provide justification. (a) True False Consider three events A, B, and C, among which A and B are disjoint. Then (A C) (B C) = , where denotes the empty set. (b) True False Consider two events A and B with Pr(A) = 0.9 and Pr(B) = 0.8. Then Pr(AB) 0.7. ECE3100: Introduction to Probability and Inference 3 (c) True False Consider three events A, B, and C with Pr(A B) > 0 and Pr(C) > 0. Suppose that (A C) (B C) = . Then Pr(A B|C) = Pr(A|C) Pr(B|C)

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