MGCR 271 Lecture Notes - Lecture 3: Random Variable, Contingency Table, Statistical Hypothesis Testing

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A phenomenon is random if individual outcomes are uncertain and there is a distribution of outcomes in a large number of repetitions. The probability of any outcome of a random phenomenon can be defined as the proportion of times the outcome would occur in a very large number of repetitions. The sample space s = {e1, e2, e3, , en} is the set of all possible outcomes. The sum of the probabilities for all possible outcomes must equal 1. An event e is a subset of the sample space which can consist of more than one outcome. A venn diagram is a graphical representation of a sample space. Union of 2 events (a b) = the set of outcomes included in a or b, or both. Intersection of 2 events (a b) = the set of outcomes included in both a and b.

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