7-1 - 7-1 Sample Spaces, Events, and ProbabilityRandom...

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Unformatted text preview: 7-1 Sample Spaces, Events, and ProbabilityRandom experiment:a process whose outcome cannot be predictedSample space(of a random experiment):the set of all possible outcomes of the experimentExample:Random experiment: toss a coin twiceSample space:{HH, HT, TH, TT} (four possible outcomes)EVENTSevent has a specific technical meaningin probability theoryExample: Random experiment: flip coin two timesSample space: the set {HH, HT, TH, TT}Two (of many possible) events:(1) getting at least one head: E1 = {HH, HT, TH}(2) getting no tails: E2 = {HH}Definition: an eventis a subset of the sample space•for the sample space of flipping a coin twice•there are lots of events (subsets) (24= 16, to be exact)Note: for a sample space of size n, there are 2npossible eventsAn event is said to occurif any of its outcomesoccurs.7-1p. 1Events can sometimes be described in wordse.g., for the flipping-a-coin-twice experiment:In wordsSet notationno heads{TT}one tail{TH, HT}at least one head{TH, HT, HH}more than one head...
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This note was uploaded on 12/11/2011 for the course MATH 1324 taught by Professor Staff during the Spring '11 term at Austin Community College.

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7-1 - 7-1 Sample Spaces, Events, and ProbabilityRandom...

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