Question: Let A and B be events with P (A) =0.3, P(B) =0.8, and P (A or B) = 0.9. (a) Compute P (A and B).

Let A and B be events with P (A) =0.3, P(B) =0.8, and P (A or B) = 0.9. (a) Compute P (A and B). (b) Are A and B mutually exclusive? Explain. (c) Are A and B independent? Explain. Part 1 of 3 V (a) Compute P (A and B). P (A and B) = 0.2 Part 2 of 3 V (b) Are A and B mutually exclusive? Explain. The events A and B are not v mutually exclusive since P(A and B) + 0 Part: 2 / 3 Part 3 of 3 P(A) . P(B) = P(A and B) P(A) . P(B) + P(A and B) (c) Are A and B independent? Explain. P (A and B) + 0 P (A and B) = 0 The events A and B (Choose one) v independent since (Choose one) X

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