c. Calculate P(a,b,c,d,e,f,g,h,i,j) d. Calculate P(¬a, ¬b, ¬c, ¬d,¬e, ¬f, ¬g, ¬h, ¬i, ¬j) e. Calculate P(a,b,d,e,f,h) f. Calculate P((¬a, ¬b, ¬c, ¬d,¬e, ¬f, ¬g, ¬h)

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
A1
Q4.
Priors
Р(а)-0.5
P(b)=0.01
P(c)=0.9
A
B
C
CPT
The probabilities are listed in truth-
table order, starting with all true, for
the parent variables as ordered.
P(d | a) 0.2 0.6
P(e|a b) 0.5 0.4 0.3 0.1
P(f|b c) 0.1 0.4 0.5 0.2
P(g |de) 0.4 0.6 0.3 0.1
P(h | e f) 0.3 0.4 0.3 0.4
P(i | d f) 0.9 0.8 0.9 0.4
P(j |f) 0.4 0.5
D
E
F
G
H
J
I
For the Bayesian Network above, please answer the following questions:
Transcribed Image Text:Q4. Priors Р(а)-0.5 P(b)=0.01 P(c)=0.9 A B C CPT The probabilities are listed in truth- table order, starting with all true, for the parent variables as ordered. P(d | a) 0.2 0.6 P(e|a b) 0.5 0.4 0.3 0.1 P(f|b c) 0.1 0.4 0.5 0.2 P(g |de) 0.4 0.6 0.3 0.1 P(h | e f) 0.3 0.4 0.3 0.4 P(i | d f) 0.9 0.8 0.9 0.4 P(j |f) 0.4 0.5 D E F G H J I For the Bayesian Network above, please answer the following questions:
c. Calculate P(a,b,c,d,e,f,g,h,i.j)
d. Calculate P(¬a, ¬b, ¬c, ¬d,¬e, ¬f, ¬g, ¬h, ¬i, ¬j)
e. Calculate P(a,b,d,e,f,h)
f. Calculate P((¬a, -b, -c, –d,¬e, ¬f, ¬g, –h)
Transcribed Image Text:c. Calculate P(a,b,c,d,e,f,g,h,i.j) d. Calculate P(¬a, ¬b, ¬c, ¬d,¬e, ¬f, ¬g, ¬h, ¬i, ¬j) e. Calculate P(a,b,d,e,f,h) f. Calculate P((¬a, -b, -c, –d,¬e, ¬f, ¬g, –h)
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