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Consider a chess player participating in a two-game pre-tournament quali?cation series. From past records in such games, it is known that the player has a probability pW = 0.75 of winning, a probability pD = 0.2 of drawing, and a probability pL = 0.05 of losing. If X1 is the number of wins and X2 is the number of draws, obtain the complete joint pdf f (x1, x2) for this player. From this, compute the marginal pdfs, f1 (x1) and f2(x2), and ?nally obtain the conditional pdfs f (x1|x2 ) and f (x2|x1).

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