Statistical Sciences 1024A/B Study Guide - Midterm Guide: Sample Space
7 Dec 2015
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Document Summary
Personal probability based on degree of belief e. g. life on mars. Events can be elementary or aggregates theoretical vs empirical probability. Elementary events (e1) cannot be broken down further. Combined events e. g. a = {e1, e3} b= {e2, e4} intersection ( ) is what the two event sets have in common. Union ( ) is everything within the two sets of the events. Complementary event (a") everything within the sample space outside event a. Mutually exclusive e. g. jack and 7 the sets of events a and b have nothing in common sample space (s) is the set of all possible incomes. Depictions: roster tree diagram (show sequences and end in events. X is first draw, y second, etc. Probability of any given event equals probability of its elementary events. Uses density curve triangle distribution has area of one, base 2, height 1. P (a or b) = p(a) + p(b) - p(a and b) joint probability.
