Given a binary communication channel where A = input and B = output, let P(A) = 0.45,

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Given a binary communication channel where A = input and B = output, let P(A) = 0.45, P(B | A) = 0.95, and P(B̅ | A̅) = 0.65. Find P(A | B) and P(A | B̅).

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