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Let A, and B be events and let X ~ Beta(3, 2). Suppose that conditional on X = x, that A and B are independent

Let A, and B be events and let X ~ Beta(3, 2). Suppose that conditional on X = x, that A and B are independent each with probability a. The distribution of X|AB" (i.e X given that A occurs and B doesn't occur) is: O Beta(4, 3) O Beta(4, 4)

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