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?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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Author:HOLT MCDOUGAL
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Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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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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