#### You've reached the end of your free preview.

Want to read both pages?

**Unformatted text preview: **2/13 5 false true true 1/13 6 false true false 1/13 7 false false true 1/13 8 false false false 1/13 From teh above table we can see that the values of the alphas hold. Now the following sentences show that alpha is independent from beta given that gamma is true: a.Given that gamma= ~black, alpha=square and beta=one are independent. b.Given taht gamme=~black, alpha=~one and beta=square are independent. 4.The markovian assumptions are: I(A, nil, {B,E}) I(B,nil, {A,C}) I(C,A,{B,D,E}) I(D,{A,B},{C,E}) I(E, B,{A,C,D,F,G}) I(F,{C,D},{A,B,E}) I(G,F,{A,B,C,D,E,H}) I(H,{E,F},{A,B,C,D,G}) B. i. False ii.True. iii. False C. Pr(a|b,c,d,e,f,g,h)*Pr(b|c,d,e,f,g,h)*Pr(c|d,e,f,g,h)*Pr(d|e,f,g,h)*Pr(e|f,g,h)*Pr(f|g,h)*Pr(g|h)*Pr(h) D. Pr(A=0,B=0) = Pr(A=0)*Pr(B=0) = 0.24 Pr(E=1,A=1) = Pr(E=1,A=1)/Pr(A=1) As we continue to simplify (Pr(A=1)*Pr(E=1))/Pr(A=1) = Pr(E=1) = Pr(E=1,B=0) + Pr(E=1,B=0) = Pr(E=1,B=0)*Pr(B=0) + Pr(E=1,B=1)/Pr(B=1) This value is equal to 0.34....

View
Full Document

- Spring '06
- Staff
- Economics, Logic, English-language films, Following, Equals sign