Math - part 1

• Part_01_introduction

  A) 1.0

  B) 2x2x2x2x4

  
• P(x) represents the system's degree of belief
• Joint and Marginal Distributions

  A) 0.15+0.1+0.1+0.03

  B) 0.03+0.04+0.05+0.5

  C) 0.62,0.38

  
• Joint and Marginal Distributions (2)

  A) 0.1+0.03+0.05+0.5

  B) 0.15+0.03+0.1+0.05

  
• $P(\alpha \cap \beta)$ = $P(\alpha | \beta)$ $P(\beta)$
• $P(\alpha \cap \beta)$= $P(\beta \cap \alpha )$
• Chain Rule for Probability

  A) 4,3,2,1

  B) 3,2,1

  C) 2,1

  D) 1

  
• Law of total probability

  $P(x)$= $\sum_{y \in Val(y)}$$P(x,y)$

  A) x|y

  B) y

  C) x

  D) y|x

  
• Marginal distributions : $P(X) =$$$$\sum_y P(X,y)$

  Conditional distributions : $P(X|Z)$= $\sum_y P(X,y | Z)$
• $P(\alpha | \beta)$= $P(\beta | \alpha) P(\alpha)$ / $P(\beta)$
• Inference by enumeration :

  A) 0.1+0.03+0.04+0.5

  B) 0.1+0.05

  
• Inference by enumeration (2)

  A) 0.1+0.03

  B) 0.1+0.03+0.04+0.5

  
• Inference by enumeration (3)

  A) 0.1+0.03

  B) 0.04+0.5

  
• The general inference-by-Enumeration Algorithm

  A) 0.1+0.03

  B) 0.04+0.5

  C) 0.13+0.54

  D) Z

  
• Test Yourself

  A) 0.5, 0.5

  B) 0.4, 0.6

  C) 0.75, 0.33

  D) 0.25, 0.67

  E) 0.6, 0.4

  F) 0.2, 0.8

  
• Joint vs Posterior

  A) 0.2,0.4

  B) 0.33,0.67

  
• to do 55/65 part 2 fundamentals