asap

Consider the following Bayesian network, where F= having the u(f or f) and C= coughing (c or c). FC We assume that P(f)=0.8 and P(cf)=0.7 and P(cf)=0.2. Use Bayesian exact inference to obtain the following conditional probabilities: 1. P(fc) 2. P(fc) Allergy could be another cause of coughing as shown in the following network, where A= having the allergy (a or So we assume P(f)=0.8,P(a)=0.3,P(cf,a)=0.75,P(cf,a)=0.8,P(cf,a)=0.95, and P(cf,a)=0.1. Use Bayesian exact inference to obtain the following conditional probabilities: 1. P(c(f) 2. P(a)c) 3. P(ac,f) Consider the same assumption in previous question. In addition, we consider a possible vomiting out of coughing as shown in the following network, where V= vomiting (v or v). We assume that P(vc)=0.1 and P(vc)=0.2. Use Bayesian exact inference to obtain the following probabilities: 1. P(f,a,c,v) 2. P(fv) 3. P(af,v) 4. P(fa,c,v)