7. Given the structure in figure 3.5 and a sample X containing observa- tions as Cloudy Sprinkler Rain Wet grass Roof No Yes No Yes Yes Yes No Yes No No how do you learn the probabilities? We estimate the probabilities by counting the proportions of occur- rences: # { cases where cloudy = 'yes'} P(C) # {cases] P(S, C) # [cases where sprinkler = 'yes' and cloudy = 'yes'} P(SIC) P(C) # {cases where cloudy = 'yes'}PIC)=05 Cloudy PSIC-0.1 P(RIC)=0.8 PSI-O=05 PIRI-C)=0.1 Sprinkler Rain P(WIR.S)=0.95 AFIR) 0.1 P(WIR.-5)=0.90 P(FI-R)=0.7 P(WI-R.S)=0.90 P(WI-R.-5) -0.10 Wet grass rook Figure 3.5 Rain not only makes the grass wet but also disturbs the cat who normally makes noise on the roof