STAT235 Study Guide - Midterm Guide: Mutual Exclusivity, Venn Diagram, Sample Space
12 Oct 2016
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A process that when performed, results in one and only one of many observations (or outcomes) The sample space (s) is the set of all elementary outcomes of an experiment. Two of clubs in a 52 card deck. If each of n outcomes are equally likely, then the probability of any single event is 1/n. The sum of all probabilities of single events p(o1)+p(o2)+ p(on) = p(s) = 1. Two events both happen, a and b, a(cid:1514)b. B and b" is the entire sample space. The math is similar for more than 2 independent events. If a and b are mutually exclusive (disjoint) P(a(cid:1514)b) = p(a) x p(b|a) = p(b) x p(a|b) A, b, or both happen, a(cid:1515)b (a(cid:1515)b)" = a"(cid:1514)b" (a(cid:1514)b)" = a"(cid:1515)b" The math is similar for more than 2 mutually exclusive events. The probability of a single event without consideration of any other event. Probability that an event will occur given that another event has already occurred.
