Question 3

A belief network shown below (Figure 2) describes the relation between four variables A, B, C, and D, along with their conditional probability tables (CPT). Each variable takes different states as given below.

A ? {0, 1}

B ? {0, 1}

C ? {0, 1, 2}

D ? {0, 1, 2}

A=0 A=1 B=0 B=1 1 - a A B B 1 - B C C D O 1 2 0 1 2 0.0 0.3 0,5 0.2 0,0 0.2 0.6 0.2 0,1 D (0.6- 1) 0.4 A.B 0, 1 0.2 (0.8- 5) 1,0. 0.2 0.1 0.7 0.2 0.4 0.3 0.3 1,1 0.1 0.8 0.1 AC 1,0 0.1 0.2 0.7 1,1 0.5 0.2 0.3 1,2 0.4 0.4 0.2 Figure 2