ECON 41 Lecture Notes - Lecture 1: Countable Set, Fair Coin, Sample Space
Document Summary
Random experiment: an experiment that can result in different outcomes even though it"s repeated in the same manner every time. We don"t know what the outcome will be. Sample space ( or s): set of all possible outcomes of a random experiment: = omega, discrete if it consists of a finite (on infinite) countable set of outcomes. We can count them: continuous if it contains an interval of real numbers can"t. Empty (null) set = : = { x a : x a } : = such that set that does not contain element; set that contains no outcomes. Operations: let h = basic set = set including all sets. An event is a subset a of the sample space : examples. = {1, 2, 3, 4, 5, 6}. A = {2, 4, 6}; b = {1, 3, 5} etc. If c = {7}, then c : 7 .
