Hypothesis Probability i = Drugs i = Sugar i= Cholesterol P(H) 0.2 0.3 0.5 P (Cancer | H; ) 0.6 0.2 0.4 P (Diabetes | H, ) 0.4 0.8 0.3 P (Heart-Attack | H; ) 0.7 0.4 0.9

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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This is an Uncertainty problem. Given the attached table of some probabilities values of a ‘Medical Knowledge-based System’, evaluate ALL posterior probabilities of event, ‘Heart-Attack’ with given hypothesis.

Hint: Use Bayesian Theorem 

 

Hypothesis
Probability
i = Drugs
i = Sugar
i= Cholesterol
P(H;)
0.2
0.3
0.5
P (Cancer | H; )
0.6
0.2
0.4
P (Diabetes | H;)
0.4
0.8
0.3
P (Heart-Attack | H; )
0.7
0.4
0.9
Transcribed Image Text:Hypothesis Probability i = Drugs i = Sugar i= Cholesterol P(H;) 0.2 0.3 0.5 P (Cancer | H; ) 0.6 0.2 0.4 P (Diabetes | H;) 0.4 0.8 0.3 P (Heart-Attack | H; ) 0.7 0.4 0.9
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