4. Consider the Bayesian network in Figure 1, where F having the flu (f or f) and C-coughing c or c). We assume that P(f) 0.8 and P(clf)0.75 and P(cf0.15. Use Bayesian rule to Figure 1: Flu and Cough obtain the following conditional probabilities (a) P(flc) (b) P(fl-c) 5. Allergy could be another cause of coughing as shown in Figure 2, where A -having the allergy (a or a). So we assume P(f) = 0.8. P(a) = 0.1. P(df, a) = 0.95. P(chf,a) = 0.8. P(elf, a) = 0.6, and P(c-f,-a) 0.1. Use Bayesian rule to obtain the following conditional probabilities Figure 2: Flu, Allergy, and Cough (b) P(clf) (c) P(alc, f) (d) P(alc) (e) P(ale, ) 4. Consider the Bayesian network in Figure 1, where F having the flu (f or f) and C-coughing c or c). We assume that P(f) 0.8 and P(clf)0.75 and P(cf0.15. Use Bayesian rule to Figure 1: Flu and Cough obtain the following conditional probabilities (a) P(flc) (b) P(fl-c) 5. Allergy could be another cause of coughing as shown in Figure 2, where A -having the allergy (a or a). So we assume P(f) = 0.8. P(a) = 0.1. P(df, a) = 0.95. P(chf,a) = 0.8. P(elf, a) = 0.6, and P(c-f,-a) 0.1. Use Bayesian rule to obtain the following conditional probabilities Figure 2: Flu, Allergy, and Cough (b) P(clf) (c) P(alc, f) (d) P(alc) (e) P(ale, )