C S 20 R P(C) = 0.5 Cloudy +c +s П +c +s -1 Sprinkler+Rain +c -S +1 +c -S -I -C +s +1 WetGrass -C +s -1 S R P(DIA) -C -S +1 +5 +r 0.99 +S 14 -r 0.9 -C -S -f -S +r 노 0.9 -S -r 0.0 P(S,R|C) P(C) = 0.5 Cloudy Sprinkler C P(S|c) +C 0.1 -C 0.5 Rain C P(R|C) WetGrass +C 0.8 -C 0.2 S S R P(DIA) +5 S +r 0.99 +5 -r 0.9 -S 1+ 0.9 -S -r 0.0 Assume that each variable in the network is Boolean. Please note that P(S|c) and P(R|c) indicate only the probabilities P(+s/c) and P(+r|c) in the above tables. Fill in the factor table for (Sprinkler + Rain) (be careful about the above when calculating the probabilities.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter20: Queuing Theory
Section: Chapter Questions
Problem 17RP
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Bayes Nets Probability and Inference

C
S
20
R
P(C) = 0.5
Cloudy
+c
+s
П
+c
+s
-1
Sprinkler+Rain
+c
-S
+1
+c
-S
-I
-C
+s
+1
WetGrass
-C
+s
-1
S
R
P(DIA)
-C
-S
+1
+5
+r
0.99
+S
14
-r
0.9
-C
-S
-f
-S
+r
노
0.9
-S
-r
0.0
P(S,R|C)
Transcribed Image Text:C S 20 R P(C) = 0.5 Cloudy +c +s П +c +s -1 Sprinkler+Rain +c -S +1 +c -S -I -C +s +1 WetGrass -C +s -1 S R P(DIA) -C -S +1 +5 +r 0.99 +S 14 -r 0.9 -C -S -f -S +r 노 0.9 -S -r 0.0 P(S,R|C)
P(C) = 0.5
Cloudy
Sprinkler
C P(S|c)
+C 0.1
-C
0.5
Rain
C P(R|C)
WetGrass
+C
0.8
-C
0.2
S
S
R P(DIA)
+5
S
+r
0.99
+5
-r
0.9
-S
1+
0.9
-S
-r
0.0
Assume that each variable in the network is Boolean. Please note that P(S|c) and P(R|c)
indicate only the probabilities P(+s/c) and P(+r|c) in the above tables.
Fill in the factor table for (Sprinkler + Rain) (be careful about the above when calculating the
probabilities.
Transcribed Image Text:P(C) = 0.5 Cloudy Sprinkler C P(S|c) +C 0.1 -C 0.5 Rain C P(R|C) WetGrass +C 0.8 -C 0.2 S S R P(DIA) +5 S +r 0.99 +5 -r 0.9 -S 1+ 0.9 -S -r 0.0 Assume that each variable in the network is Boolean. Please note that P(S|c) and P(R|c) indicate only the probabilities P(+s/c) and P(+r|c) in the above tables. Fill in the factor table for (Sprinkler + Rain) (be careful about the above when calculating the probabilities.
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