Statistical Sciences 2244A/B Lecture Notes - Lecture 4: Sample Space
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Randomized comparative experiment: uses both comparison of two + treatments and chance of subjects to treatments. Probability: the proportion of times the outcome of a random phenomenon will occur in a very long series of repetitions. Be careful not to confuse random phenomena and outcomes with random sampling. o. It means that outcomes are determined by chance, but the probabilities do not have to be the same for all outcomes. A probability is number between 0 and 1 that describes the likelihood of a random event occur. o. Random phenomenon: if individual outcomes are uncertain but there is nonetheless a regular distribution of outcomes in a large number of repeats. Probability models: mathematical description of a random phenomenon consisting of two parts: a sample space s and a way of assigning probability to events. o o. Sample space s of random phenomenon is the set of all possible outcomes, Event: outcome or set of outcomes of random phenomenon.