Question 23 (20 marks) Consider a simple Bayesian network shown as figure Q23. cloudy PIC=t) PIC=f) 0.5 0.5 C Rain P(S=t) P(S=f) P(C=t) 0.2 0.8 P(C=f) 0.5 Sprinkler S R P(R=t) P(R=f) P(Cut) 0.8 0.2 PIC=f) 0.3 0.7 0.5 P(W=t) P(W=f) P(S=t&R=t) 0.99 0.01 P(S=t&R=f) 0.8 0.2 P(S=f&R=t) 0.8 0.2 P(S=f&R=f) 0 1 W Wet Grass Figure 223 23a) Calculate P(W,RIS,C)? (5 marks) 23b) Calculate P(W|5,C)? (5 marks) 23c) Calculate P(SC,W)? (10 marks)