Q4. . A B Priors P(a)=0.5 P(b)=0.01 P(C)=0.9 D E H CPT The probabilities are listed in truth- table order, starting with all true, for the parent variables as ordered. P(d | a) 0.2 0.6 P(e| a b) 0.5 0.4 0.3 0.1 P(f|b c) 0.1 0.4 0.5 0.2 P(g | de) 0.4 0.6 0.3 0.1 Ph | e f) 0.3 0.4 0.3 0.4 Pi |df) 0.9 0.8 0.9 0.4 PG 1f) 0.4 0.5 J For the Bayesian Network above, please answer the following questions: a. How many lines are there in the full joint distribution P(A,B,C,D,E,F,G,H,1,J)? b. What is the compactness of this Bayesian Network c. Calculate P(a,b,c,d,e,f,g,h,i,j) d. Calculate P(-a, -b, -c, -d, -e, -f, g, h, i, j) e. Calculate P(a,b,d,e,f,h) f. Calculate P((-a, b, c, d, e, f, g, -h)