Transcription of Introduction to Probability
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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.
iv Contents 4.3. Conditional Expectation as a Random Variable . . . . . . . . . . . 4.4. Sum of a Random Number of Independent Random Variables . . . .
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