Statistical Sciences 2141A/B Lecture 5: Section 1.2 and 1.3
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16 Oct 2018
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A sample space (or state space), s, of an experiment is the set of all possible experimental outcomes. An event is any collection of outcomes contained in the sample space, s. An event is simple if it consists of exactly one outcome. An event is compound if it consists of more than one outcome. We take a collection of solutions contained in that space. If that collection has only one solution, we call it "simple". If that collection has more than one solution, we call it "compound" An event is just a collection of solutions, and can thus be considered a data set. So relationships and results that we studied in section 6. 3 about data sets can be applied. The union of two events a and b is the event consisting of (all) outcomes that are in either event a or in event b or in both events. This is denoted by a b (read "a or b")
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