Description
Total points 20/20
This module is worth 20 points. Your last submission will be used for the Fnal score. You may attempt this module 5 times without penalty. After 5 attempts, each additional attempt will result in a penalty of 5% (e.g., On your 7th attempt, you obtain a score of 18 points. Then, your Fnal score for this module will be 18 – (2*1) = 16 points.)
If you encounter any problems with the assignment, please email zheweisun@cs.toronto.edu with [CSC384 A4] in the subject. Be sure to include the module number and version.
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CSC384 S19 A4 Module 3 (Version B) 20190730, 1*31 AM
M3P1 – DSeparation
Answer the following True/False questions based on the following graph:
Section score 4/4
A and B are independent, given no evidence.
True
False
A and B are conditionally independent, given C.
True
False
1/1
1/1
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CSC384 S19 A4 Module 3 (Version B) 20190730, 1*31 AM
D and E are conditionally independent, given C.
True
False
D and E are conditionally independent, given A and B.
True
False
M3P2 – Variable Elimination I
Answer the questions based on the following Bayes net:
Section score 6/6
1/1
1/1
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CSC384 S19 A4 Module 3 (Version B) 20190730, 1*31 AM

Select all that are true:
2/2
Pr(X2 = T  X3 = F) = Pr(X2 = T, X3 = F) / Pr(X3 = F)
Pr(X2 = T  X3 = F) = Pr(X2 = T, X3 = F) / [ Pr(X2 = T, X3 = F) + Pr(X2 = F, X3 = F)]
Pr(X2 = T  X3 = F) = Pr(X2 = T, X3 = F) / [ Pr(X2 = T, X3 = T) + Pr(X2 = T, X3 = F)]
Pr(X2 = T  X3 = F) = Pr(X2 = T, X3 = F) / Pr(X2 = T)
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CSC384 S19 A4 Module 3 (Version B) 20190730, 1*31 AM

Calculate the following:
1/1

Solve P(X2 = T  X3 = F).
3/3
*Hint: Using variable elimination with elimination ordering X4, X1, X2, X3 will greatly simplify your calculations! The two previous questions should also guide your calculations. Your answer should be between 0 and 1, rounded to 3 digits after the decimal (e.g. 0.120).
M3P3 – Variable Elimination II
Section score 10/10
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CSC384 S19 A4 Module 3 (Version B) 20190730, 1*31 AM
Given the table of probabilities pictured, what is P(C = c  D = – 5/5 d)?
Your answer should be between 0 and 1, rounded to 3 digits after the decimal (e.g. 0.120).

Given the table of probabilities pictured, what is
5/5
P(E=eA=a,D=d)?
Your answer should be between 0 and 1, rounded to 3 digits after the decimal (e.g. 0.120).
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Forms
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