Statistical Sciences 1024A/B Lecture 17: Stats Lec 17
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Sample space s (of a random phenomenon): the set of all possible outcomes. Event: an outcome or set of outcomes of a random phenomenon. An event is a subset of the sample space. Probability model: a mathematical description of a random phenomenon consisting go 2 parts: sample space s, a way off assigning probability to events. Sample space and events are written in sets . Curly brackets { } mean that we are writing a discrete set. S={1,2,3} is a set with 3 elements 1, 2, and 3. Interval notation means that we are wiring a continuous set. S (1, 3] is a set of all the numbers between greater than 1 and less than or equal to 3. Probability rules: for any event a, 0 < p (a) < 1. 3: for any event a, p (a does not occur)= 1- p (a) If s is the sample space, p (s) = 1.