2. Given the following Bayesian network which shows that Fire Smoke and Heat. (F=Fire, S=Smoke. causes H= Heat) P(F) P(-F) 0.1 0.9 P(H) P(-H) F| P(S) P(-S) S H F 0.001 0.999 T 0.99 F 0.01 0.99 0.01 0.9 0.1 What is the probability of fire if smoke has been seen? Hint (use Bayes' Rule for Single Event).

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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2. Given
that Fire
H= Heat)
the following Bayesian
network
which
shows
causes
Smoke and Heat. (F=Fire, S=Smoke.
P(F) P(-F)
F
0.1
0.9
F| P(S) P(-S)
F P(H) P(-H)
H.
F 0.01
0.99
0.1
F 0.001 0.999
T|0.99 0.01
T0.9
What is the probability of fire if smoke has been seen? Hint (use
Bayes' Rule for Single Event).
Transcribed Image Text:2. Given that Fire H= Heat) the following Bayesian network which shows causes Smoke and Heat. (F=Fire, S=Smoke. P(F) P(-F) F 0.1 0.9 F| P(S) P(-S) F P(H) P(-H) H. F 0.01 0.99 0.1 F 0.001 0.999 T|0.99 0.01 T0.9 What is the probability of fire if smoke has been seen? Hint (use Bayes' Rule for Single Event).
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