Question

The question investigates the way in which conditional independence relationships affect the amount of information needed for probabilistic calculations. Let a, 3, and y be three random variables (6 points) Suppose dependence information. Which of the following sets of numbers is sufficient for the we wish to calculate Pr(al3, ) and we have no conditional in- calculation? 1. Pr(B,Pra), Pr(Ba) and Pr(ya 2. Pr(, ), Pr(a) and Pr(,a) 3. Pr(a), Pr(yla) and Pr(a) For each case, justify your response either by showing how to calculate the desired answer using the rules of probability or by explaining why this is not possible.

Answer 1

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Pr (p. Tlo ) We) IPAN) (A AY P(oA A BAY (FN) BA1) . 1o (akulato Solhcient So Oayt Ran BAY) Cs Scanned with CamScanner

(A (rldd not insuficien none ot these each Scanned with CamScanner CS