Consider the Bayesian network below with 4 random variables: Storm (S): There is a storm. ● Flood (F): There is a flood. S P(F=true|S) true 0.70 false 0.05 2. 3. P(S=true) 0.20 4. Flood Storm • Holiday (H): Today is a holiday. • Closed (C): Schools are closed. Closed Holiday S H true true true false false true false false 1. What is the probability of the event "Today is not a holiday and there is a storm, but there is no flood and the schools are still open?" P(H=true) 0.05 P(C=true|S, H) 0.90 0.70 0.90 0.01 What is the Markov blanket of the random variable Holiday? Are Storm and Holiday independent? Given that there is no flood but schools are closed. What is the probability that there is a storm?
Consider the Bayesian network below with 4 random variables: Storm (S): There is a storm. ● Flood (F): There is a flood. S P(F=true|S) true 0.70 false 0.05 2. 3. P(S=true) 0.20 4. Flood Storm • Holiday (H): Today is a holiday. • Closed (C): Schools are closed. Closed Holiday S H true true true false false true false false 1. What is the probability of the event "Today is not a holiday and there is a storm, but there is no flood and the schools are still open?" P(H=true) 0.05 P(C=true|S, H) 0.90 0.70 0.90 0.01 What is the Markov blanket of the random variable Holiday? Are Storm and Holiday independent? Given that there is no flood but schools are closed. What is the probability that there is a storm?
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