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?
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 1E: A binomial experiment is UDC in which there are exactly __________ outcome. One outcome is called...
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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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