Let A and B be events such that P(A) = 0.3, P(B) = 0.5, and P(AB) =
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Let A and B be events such that P(A) = 0.3, P(B) = 0.5, and P(AB) = 0.2.
(a) Find E[IA|IB = 0] and E[IA|IB = 1].
(b) Show that E[E[IA|IB]] = E[IA].
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