Suppose P(A) = 4/10, P(B) = 5/10, and P(AB) = 2/10. (a) Compute P(AC). (b) Compute...

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Suppose P(A) = 4/10, P(B) = 5/10, and P(AB) = 2/10. (a) Compute P(AC). (b) Compute P(AUB). (c) Compute P(A | B). (d) Compute P(B | A). (e) Compute P(B | AC). (f) Are A and B independent? Explain. (g) Are A and B mutually exclusive? Explain. Suppose P(A) = 4/10, P(B) = 5/10, and P(AB) = 2/10. (a) Compute P(AC). (b) Compute P(AUB). (c) Compute P(A | B). (d) Compute P(B | A). (e) Compute P(B | AC). (f) Are A and B independent? Explain. (g) Are A and B mutually exclusive? Explain.