Question: 8. A, B, and C are random variables. A and B are Boolean, whereas C's domain is c1,c2,c3. Let a represent A = True and

8. A, B, and C are random variables. A and B are Boolean, whereas C's domain is c1,c2,c3. Let a represent A = True and a represent A = False; b represent B = True and b represent B = False; c1 represent C = c1, c2 represent C = c2, c3 represent C = c3, B and C are conditionally independent given A. Given P(a)=0.2,P(b|a)=0.6, P(ba)=0.1,P(c1a)=0.1, P(c1a)=0.3,P(c2a)=0.9,P(c2a)=0.4. i) What is P (a, b, c1) ii) What is P (a, c1) iii) What is P (a, bc1)

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