SetTheory&IntroProb - (4.1, 4.2, 4.3) Set Theory,...

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(4.1, 4.2, 4.3) Set Theory, Intro to Probability SET : collection of elements S={…} SUBSET : a set in which every element is also contained in a larger set. ELEMENT : an single item, it may be in a set or not in a set, usually denoted ω S={a, b, c, d, e} S is a SET containing 5 elements N={a, b, c} a is an ELEMENT of S, aS d is NOT an ELEMENT of N, dN N is a SUBSET of S, NS RANDOM EXPERIMENT : an action whose outcome cannot be predicted with CERTAINTY beforehand SAMPLE SPACE (Ω): the set of ALL POSSIBLE outcomes for a random experiment, with Ω representing the entire sample space and ω representing each element in that sample space. Sample space and population are similar in that they contain “all possibilities” the key difference is that a sample space is unique to a random experiment and a population is unique to sampling (usually people). EVENT : a collection of sample points. It OCCURS if the outcome is an element, ω, of the sample space Ω Example : Random Experiment: roll a fair 6-sided dice Sample Space: _____________________
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This note was uploaded on 02/06/2012 for the course STAT 225 taught by Professor Martin during the Spring '08 term at Purdue University-West Lafayette.

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SetTheory&IntroProb - (4.1, 4.2, 4.3) Set Theory,...

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