Statistical Sciences 2244A/B Lecture Notes - Lecture 4: Sample Space, Venn Diagram, Random Variable
12 Feb 2018
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Document Summary
Probability probability: the mathematics of chance behaviour; of any outcome of a random phenomenon is the proportion of times the outcome would occur in a very long series of repetitions. Describes only what happens in the long run. A number between 0 and 1; the closer to one, the more likely. Frequentist approach: we rely on the relative frequencies of one particular outcome among very many observations of the random phenomenon. A basic move in statistics is to use the result from a sample to estimate something about a population. Chance behaviour is unpredictable in the short run but has a regular and predictable pattern in the long run. Use probability to determine when a random phenomenon is likely to occur. Mathematical description of a random phenomenon consisting of two parts: a sample space s and a way of assigning probabilities to events. Sample space s: of a random phenomenon is the set of all possible outcomes.
