CSE 150 Lecture Notes - Lecture 2: Mutual Exclusivity, Conditional Independence, Normandy Landings

• School: UCSD
• Department: Computer Science & Engineering
• Course: CSE 150
• Professor: Lawrence Saul

Document Summary

Ex: decay in the nucleus of a radioactive atom: gross statistical description of complex (deterministic) world. Ex: coin toss: probability as guardian of common sense reasoning, empirical success - language, speech, vision, etc. Domain of possible values: {x 1 , x 2 , , x n } Ex: month m, {m 1 = jan, , m 12 = dec} Basic axioms (1) p(x = x) > 0 (2) (i = 1 to n) p(x = x n ) = 1 (3) p(x = x i or x = x j ) = p(x = x i ) + p(x = x j ) if x i != x j. Probs add for union of mutually exclusive events. P(x = x i | y = y j ) In general: p(x = x i | y = y j ) != p(x = x i ) P(w = sunny | m = jan) = 0. 8.