Bayesian Network
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
Problem 1PE
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Question

Transcribed Image Text:(6) Bayesian Networks:
P(C=T) P(C=F)
0,5
0,5
Cloudy
C P(R=T) P(R=F)
0,8
0,2
0,2
0,8
F
Sprinkler
Rain
c P(S=T) P(S=F)
0,1
0,5
0,9
0,5
F
WetGrass
P(W=T) P(W=F)
0,01
0,1
0,1
1,0
R
0,99
F
0,9
0,9
F T
F
F
0,0
(a) Given the above Bayesian network,
compute the probability: P(Wetgrass =
%3D
F| Sprinkler = F). Show the steps.
(b) Given the above Bayesian network,
compute the probability P(Rain = T|
sprinkler = T)
(c) Write the full Joint probability
distribution (as a multiplication of
conditional probabilities), for both the
above Bayesian Network, as well as the
network after we reverse the arrows.
That is, how would you compute P(cloudy ,
sprinkler, rain , wetgrass) given the
conditional probability tables of the
Bayesian network (also do the question with
the arrows reversed)
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