Statistical Sciences 2244A/B Chapter Notes - Chapter 3: Conditional Probability, Frequentist Probability, Sample Space
5 Mar 2014
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Rare even rule for inferential statistics: if under a given assumption, the probability of a particular observed event is extremely small, we conclude that the assumption is probably not correct. An event is any collection of results or outcomes of a procedure. A simple event is an outcome or an event that cannot be further broken down into simpler components. The sample space for a procedure consists of all possible simple events. That is, the sample space consists of all outcomes that cannot be broken down any further. A, b, and c denote specific events. P(a) denotes probability of event a occurring. P(a) = number of times a occurred / number of time trial was repeated. When finding probabilities with this, we obtain an approximation instead of an exact value; as total number of observations increases, approximation tends to get closer to actual probability. Classical approach to probability (requires equally likely outcomes)
