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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?" 2. 3. 4. 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?

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?" 2. 3. 4. 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?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Consider the Bayesian network below with 4 random variables: • Storm (S): There is a storm. ● Flood (F): There is a flood. S true false 2. 3. P(F=true|S) 0.70 0.05 4. P(S=true) 0.20 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?
Transcribed Image Text:Consider the Bayesian network below with 4 random variables: • Storm (S): There is a storm. ● Flood (F): There is a flood. S true false 2. 3. P(F=true|S) 0.70 0.05 4. P(S=true) 0.20 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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