briefnts1_events

briefnts1_events - Brief Notes#1 Events and Their...

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Brief Notes #1 Events and Their Probability • Definitions Experiment: a set of conditions under which some variable is observed Outcome of an experiment: the result of the observation (a sample point) Sample Space, S: collection of all possible outcomes (sample points) of an experiment Event: a collection of sample points • Operations with events A c 1. Complementation A c A 2. Intersection A B A B 3. Union A B B A • Properties of events 1. Mutual Exclusiveness - intersection of events is the null set (A i A j = , for all i j) 2. Collective Exhaustiveness (C.E.) - union of events is sample space (A 1 A 2 ... A n = S) 3. If the events {A 1 , A 2 , . .. , A n } are both mutually exclusive and collectively exhaustive, they form a partition of the sample space, S. • Probability of events • Relative frequency f E and limit of relative frequency F E of an event E f E = n E n F E = f lim E = lim n E n n n • Properties of relative frequency (the same is true for the limit of relative frequency

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briefnts1_events - Brief Notes#1 Events and Their...

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