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M2S1 Lecture Notes

m2s1 Lecture NotesG. A. ayoungSeptember 2011iiContents1 DEFINITIONS, TERMINOLOGY, EVENTS AND THE SAMPLE SPACE .. IN SET THEORY .. EXCLUSIVE EVENTS AND PARTITIONS .. THE -FIELD .. THE PROBABILITY FUNCTION .. PROPERTIES OF P(.): THE AXIOMS OF PROBABILITY .. CONDITIONAL PROBABILITY .. THE THEOREM OF TOTAL PROBABILITY .. BAYES THEOREM .. COUNTING TECHNIQUES .. MULTIPLICATION PRINCIPLE .. FROM A FINITE POPULATION .. AND COMBINATIONS .. CALCULATIONS .. 102 RANDOM VARIABLES&PROBABILITY RANDOM VARIABLES & PROBABILITY MODELS.

CHAPTER 1 DEFINITIONS, TERMINOLOGY, NOTATION 1.1 EVENTS AND THE SAMPLE SPACE Definition 1.1.1An experiment is a one-off or repeatable process or procedure for which

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