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Lecture Notes on Probability Theory and Random Processes

Lecture Notes on Probability Theoryand Random ProcessesJean WalrandDepartment of Electrical Engineering and Computer SciencesUniversity of CaliforniaBerkeley, CA 94720 August 25, 20042 Table of ContentsTable of Contents3 Abstract9 Introduction11 Modelling Models and Physical Reality.. Concepts and Calculations.. Function of Hidden Variable.. A Look Back.. References.. 122 Probability Choosing At Random .. Events.. Countable Additivity.. Probability Space.. Examples.. Choosing uniformly in{1,2, .. , N}.. Choosing uniformly in [0,1].. Choosing uniformly in [0,1]2.. Summary.. Stars and Bars Method.. Solved Problems.. 193 Conditional Probability and Conditional Probability .. Remark.. Bayes Rule.. Independence.. Example 1.. Example 2.. Definition.. General Definition.. Summary.. Solved Problems.. 324 Random Measurability.. Distribution.

course on probability and random processes in the Department of Electrical Engineering and Computer Sciences at the University of California, Berkeley. The notes do not replace a textbook.

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