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Calculate the following probabilities using the Bayesian network below. The CPTs for each node are shown below the network. You may need to use the various probability formulas such as marginalization, the chain rule, conditional independence, Bayes rule, etc. Conditional probability tables are given below: a) P(A=true, B=true, C=false, D=true, E=true) b) P(A=true, B=true, D=false) c) P(D=true | A=false)
![2. Calculate the following probabilities using the Bayesian network below. The CPTs for each node are shown below the network. You may need to use the various probability formulas such as marginalization, the chain rule, conditional independence, Bayes rule, etc Conditional probability tables are given below A C D A POA) POBIA) P(DIC) false 0.4 se false 0.9 false false 0.75 true 0.6 false true 01 false true 1025 true false 0.25 true false 0.9 true true 0.1 true true 0.75 POCA) B,D false false false 0.1 false false 0.25 false false true 0.9 false true 0.75 false true false 0.2 true false 0.8 true true 0.8 true true 0.2 false true false false 0.3 true false true 07 true true false 0.4 true true true 0.6 a P( A true, B true, C false, D true, E true) [5 points] b) PO A true, B true, D false) [5 points] c) POD true l A false )[5 points]](https://d2vlcm61l7u1fs.cloudfront.net/media%2Fee8%2Fee87e1fe-d88e-4555-bc39-e6786aa1dcc8%2FphpsyEwqh.png)
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