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# Finite Study Guide M118

IU

GPA 3.7

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## Popular in Finite Math

## Popular in Math

This 3 page Study Guide was uploaded by Danielle Gleason on Tuesday December 15, 2015. The Study Guide belongs to M118 at Indiana University taught by in Summer 2015. Since its upload, it has received 71 views. For similar materials see Finite Math in Math at Indiana University.

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Date Created: 12/15/15

11 0 SET 1 SET 2 Intersection of sets 1 and 2 gt Elements that both share 0 SET 1 U SET 2 Union of sets 1 and 2 gt Combination of elements from both 0 SET 1 C SET 2 Set 1 i is a subset of set 2 gt elements in set are in set 2 too o THING 1 E SET 1 Means thing 1 is an element of Set 1 0 this is an empty set and has no elements 0 Disjoint intersection between subsets is an empty set 0 Cartesian product of two sets A and B written AXB this is all ordered pairs ab Formulas 0 Total number of subsets possible 2quot 12 Venn Diagrams Draw and label 0 Identify c Find region asked for Formulas O nXnX1 nXZ o nAXB nA X nB 13 Venn Diagrams Formula 14 nA U B nA nB nA 11 B Tree Diagrams and Slots 0 Sample space set consisting of all possible outcomes from eXperiment 21 and 24 0 Event subset of a sample space for an experiment 0 Probability all outcomes in a sample space of an eXperiment must add up to 1 Formulas 0 Probability of an event 22 the number of outcomes in an event the number of outcomes in a sample space Permutation ordered list of elements from a set gt order matters 0 Position 0 Title 0 Time Formulas o Pnr 23 Order doesn t matter Formulas O C nr 31 Venn Diagrams With Probability gt add up to l and not universal set 32 o Conditional Probability likelihood of an event With restrictions to sample space 0 Independent events events have an intersection Formulas O Conditional Probability of Thing 1 given Thing 2 o PrThing 1 Thing 2 Pr Tgff iggng 2 0 Independence formula for Independent Things 1 amp 2 O PrThing 1 Thing 2 PrThing l PrThing 2 3 3 Bayes Formula 35 Bernoulli s Formula 0 Probabilities must be xed for each result gt drawn With replacement 0 Order doesn t matter 0 Results for each trial are SORTABLE to 2 categories Formulas 0 C W p q 0 ntotal of attempts r of times to succeed p probability of succeeding on I attempt OOO q probability of failing on I attempt 41 0 Random Variable each outcome in sample space and gives each a unique number 0 TCharts necessary 42 Density Functions Formulas o EX np 0 n of attempts o p probability of succeeding on 1 attempt

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