STAT 3025Q Lecture Notes - Lecture 4: Symmetric Difference, Sample Space, Empty Set
18 Dec 2017
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Document Summary
Experiment - any activity/process f observations that leads to a single outcome that cannot be predicted with certainty. Sample space (s) - the set of possible outcomes of that experiment. Sample point - individual outcomes of an experiment. Coin toss once: s = {h, t} Coin toss twice: s = {hh, ht, tt, th} Die toss once: s = {1, 2, 3, 4, 5, 6} Event - within the sample space of an event, a subcollection/subset of outcomes. Sample event - consists of exactly one outcome. Compound - consists of one or more outcomes. Symmetric difference ( (cid:1320) b (cid:1321) ( (cid:1320) b . If occurs, then it is tob impossible for occur, and vice versa. A (cid:1320) ( (cid:1321) c = ( (cid:1320) b (cid:1321) ( (cid:1320) c. A (cid:1321) ( (cid:1320) c = ( (cid:1321) b (cid:1320) ( (cid:1321) c. Demorgan"s laws - a ( (cid:1320) b = a (cid:1321) b .
