ECSE 305 Lecture Notes - Probability Axioms, Image Analysis, Venn Diagram
18 Apr 2013
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Document Summary
Chapter overview: axioms of probability and terminolgy, basic probability theorems, special cases of probability space: Probability space: in the axiomatic approach to probability, a random experiment is mod- eled as a probability space, the latter being a triplet (s,f, p ), where. F is the set of events (events algebra), P (. ) is the probability function: these concepts are described individually below. c(cid:13) 2003 beno t champagne. Sample space: the sample space s is the set of all possible results, or outcomes, of the random experiment, in practical applications, s is de ned by the very nature of the problem under consideration. S may be nite, countably in nite or uncountably in nite: the elements of s, i. e. the experimental outcomes, will usually be de- noted by lower case letters (e. g. : s, a, x, etc) Example 3. 1: (cid:73) consider a random experiment that consists in ipping a coin twice. A suitable sample space may be de ned as.
