ESE 306 Study Guide - Final Guide: Sample Space, Cumulative Distribution Function, Probability Distribution

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Laws of probability: the set of all possible outcomes of an experiment is known as sample space, and it is denoted by . An event is a subset of satisfying the properties of algebra: for two events a and b in , we have. P (a b) = p (a) + p (b) p (a b): the probability of the intersection of two events. P (a b) is also denoted by p (a, b): the conditional probability of an event a given the occurrence of another event b is de ned by. P (b) where p (b) > 0: combinations represent the number of ways of selecting k objects from a group of n distinct objects, where the ordering of the k objects is irrelevant. It is given by k(cid:19) = (cid:18)n n! k! (n k)! Geometric series: the sum of the rst n + 1 terms of a geometric series is given by.