17. Consider the Bayesian network drawn below A P(A true) 0.4 P(B-true | A-false)0.9 D P(B-true | A-true0.3 P(C-true) 0.7 P(D true | B-false and C-false)0.8 P(D-true | B-false and C-true) 0.3 P(D-true | B-true and C-false) 0.5 P(D-true | B-true and C-true)0.1 Show your work for the following calculations a) Compute P(A true and B -false and C- true and D -false) b) Compute P(D true | A -false and B-true and C-false) cCompute P(A true | B -false and C tue and D -false). d) Compute P(B -false A true and C -false e) Compute P(B -false)