Exercise: Variable Elimination smart) = 0.8 p(study) = 0.6 smart study p(fair) = 0.9 prepared fair P(prep...) smart -smart study 0.9 0.7 pass ¬study 0.5 0.1 smart smart ..) prep |-preр Query: What is the probability that a student is smart, given that they pass the exam? prep -prep 0.9 0.7 0.7 0.2 0.1 0.1 0.1 0.1

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Course: Artificial Intelligence

Material: Probabilistic Reasoning (Bayesian Believe in Networks)

*NOTES: Please Explain With Detailed and Step By Step!

Exercise: Variable Elimination
p(smart) = 0.8
p(study) = 0.6
smart
study
p(fair) = 0.9
prepared
fair
P(prep|...) | smart |-smart
study
0.9
0.7
pass
nstudy
0.5
0.1
smart
smart
Р(pass/...)
Query: What is the
probability that a student
is smart, given that they
pass the exam?
prep | -preр
prep
-prep
fair
0.9
0.7
0.7
0.2
fair
0.1
0.1
0.1
0.1
Transcribed Image Text:Exercise: Variable Elimination p(smart) = 0.8 p(study) = 0.6 smart study p(fair) = 0.9 prepared fair P(prep|...) | smart |-smart study 0.9 0.7 pass nstudy 0.5 0.1 smart smart Р(pass/...) Query: What is the probability that a student is smart, given that they pass the exam? prep | -preр prep -prep fair 0.9 0.7 0.7 0.2 fair 0.1 0.1 0.1 0.1
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