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Unformatted text preview: De f nitions • Experiment process by which meaningful observations (outcomes) are obtained. • Sample Space the set of all possible outcomes of an experiment (denoted as S ). • Event a subset of the sample space S , consists of one or more outcomes of an experiment. • Simple Event an event which cannot be decomposed. Basic Probability Properties • The probability of an event, say event A , is denoted as P ( A ) . • All probabilities are between 0 and 1. If A is an event, then 6 P ( A ) 6 1 • The sum of the probabilities of all possible outcomes must be 1. If the set of simple events E 1 ,E 2 , · · · ,E r represent the sample space S for an experiment, then P ( S ) = r X i =1 P ( E i ) = 1 • If event A occurs when one of a set of k simple events E 1 ,E 2 , · · · ,E k occurs, then P ( A ) = k X i =1 P ( E i ) That is, the probability of an event is the sum of the probabilities of its simple events....
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This note was uploaded on 01/01/2010 for the course ISOM ISOM111 taught by Professor Anthonychan during the Spring '09 term at HKUST.
 Spring '09
 AnthonyChan

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