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4 Consider a probability space (2, *, P) and assume that the various sets mentioned below are all in (a) Show that if D, are disjoint and P(C | D)-p independently of i, then P(C I U,D -p. (c) Show that if E, are disjoint and U, E -, then (d) Show that if C, are disjoint and PAC) P(BIC) for all i,Stochastic Processes

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O) 4) Ans 2 ip (Of) 乞. Pto 2Pt 드!(Glo) proved PUD) PC0) PCo] Poove 丘Pl4 oi Lanc.Since Cae sove PCOL C)

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