# Additional_Material_--_Set_Theory - Introduction to Set...

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Introduction to Set Theory and Probability

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Chapter 1. Experiments, Models, & Probabilities Goals of this course: 1. to introduce the logic of probability theory Definitions of new concepts (to establish logic reasoning) Axioms (accepted facts w/o proof) there are only three axioms of probability theory Theorems (can be proved logically using definitions and axioms) 2. to develop intuition into how the theory applies to practical situations through problem solving, practicing examples, HWs, quizzes, etc. 3. to apply probability theory to solving engineering problems The aim is achieved by studying random signals in LTI systems Web-site http://www.wiley.com/college/yates provides solutions to quizzes, and MATLAB codes for certain random variables and their distributions.
Table 1.1 (p. 9) The terminology of set theory and probability. Note: The set theory forms the mathematical basis of the probability there exist a 1-1 mapping between the two A set is a collection of things or elements A subset is used to establish a (belonging) relationship between two sets.

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