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Introduction to Probability

LECTURE NOTESC ourse 2000 Introduction to ProbabilityDimitri P. Bertsekas and John N. TsitsiklisProfessors of Electrical Engineering and Computer ScienceMassachusetts Institute of TechnologyCambridge, MassachusettsThese notes are copyright-protected but may be freely distributed forinstructional nonprofit Sample Space and Probability .. Sets .. Probabilistic Models .. Conditional Probability .. Independence .. Total Probability Theorem and Bayes Rule .. Counting.. Summary and Discussion ..2. Discrete Random Variables.. Basic Concepts .. Probability Mass Functions.. Functions of Random Variables .. Expectation, Mean, and Variance .. Joint PMFs of Multiple Random Variables .. Conditioning .. Independence .. Summary and Discussion.

Preface These class notes are the currently used textbook for “Probabilistic Systems Analysis,” an introductory probability course at the Massachusetts Institute of

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