Problem 3 (6 points): Study the following Bayesian Network, where variables are all Boolean-valued and then answer the questions(show your work): P(B/F)=0.8 P(B/-F)=0.4 P(A)=0.3 B 1- Calculate the value of P(A,~-B, -C,D,-E): 2- Calculate the value of P(C): 3- Calculate the value of P(F/B): C JP(CAB)-0.2 P(C/-A,B)-0.4 P(C/A-B)=0.8 P(C/-A,-B)-0.5 E F P(F)=0.6 P(D/A,C)=0.4 P(D/-A,C)=0.2 P(D/A,~C)=0.3 P(D/-A.-C)=0.7 PE/D.F)=0.2 PE/-D,F)=0.6 P(E/D,-F)=0.4 P(E-D,-F)=0.9