17. Let A and B be events having positive probability. State whether each of the following statements
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17. Let A and B be events having positive probability. State whether each of the following statements is (i) necessarily true, (ii) necessarily false, or (iii)
possibly true.
(a) If A and B are mutually exclusive, then they are independent.
(b) If A and B are independent, then they are mutually exclusive.
(c) P(A) = P(B) = .6, and A and B are mutually exclusive.
(d) P(A) = P(B) = .6, and A and B are independent.
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