1. Let S be a sample space, and let A and B be two events in S. Suppose that P(A) = 0.4, P(B) = 0.3, and P(An B) = 0.1.
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1. Let S be a sample space, and let A and B be two events in S. Suppose that P(A) = 0.4, P(B) = 0.3, and P(An B) = 0.1.
1. Let S be a sample space, and let A and B be two events in S. Suppose that P(A) = 0.4, P(B) = 0.3, and P(An B) = 0.1. (a) (3 points) Find P(AUB). (b) (3 points) Are A and B independent? Explain your answer. (c) (3 points) Are A and B mutually exclusive? Explain your answer. (d) (3 points) Find P(AB).
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