Class Notes (810,431)
QMS 102 (188)
Clare Chua (18)
Lecture 7

# Lecture 7

9 Pages
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School
Ryerson University
Department
Quantitative Methods
Course
QMS 102
Professor
Clare Chua
Semester
Fall

Description
10192010 TypesofProbability Data Chapters 1,2,3 Numerical Categorical (Random variable) Probability Discrete Continuous Distribution Distribution Topicscoveredtoday: 1. BasicProbabilitytheory(Chapter4) Chapters Binomial Normal Distrbution 2. DiscreteProbabilityDistribution 4,5, 6 (Chapter5,section5.1) Probability Hypergeometric Distribution to cope with uncertainty Poisson Exponential DIstribution Definitions Example1: Probability: Ameasureofthelikelihoodthatanevent Tossacoin:(Interestedinresults,thatis,headstails.) willhappen.(Youcanalsorefertotheprobabilityofanevent a)once. Experiment:Toss coinonetime thatmayhavealreadyoccurred,butonlyifyoudontknow whetherornottheeventoccurred.) SampleSpace:{HT} Event:e.g.GetaheadH {H} Experiment: Somethingdonetoobtaindata.Itmay involveaphysicalactiontomakesomethingtakeplaceormay b)twice.(ortoss2coins) Experiment:Tosscointwice. jjustinvolveobservigsomething ghappen. Sam plepace:{{HHHTTHTT}} Event:e.g.GetatleastoneheadH {HHHTTH} Outcome: Theresultofonetrialoftheexperiment. SampleSpace: Thelistofallpossibleoutcomes. c)threetimes.(ortoss3coins)Experiment:Tosscoin3times SampleSpace:{HHHHHTHTHTHHTTHTHTHTTTTT} Event: Acollectionofoneormoreoutcomes. Event:e.g.GetoneheadH {HTTTHTTTH} Example2: Probability Rolladie: (Interestedintheresultofeachdie.) a)Symbol:P(event)=# a)once.Experiment:Rolldieonce b)Answer:Decimalorfractionbetween0and1.(Decimalpreferred) Chance isexpressedasapercent. SampleSpace:{123456} Event:e.g.GetanevennumberH {246} e.g.Tossacoin.P(head)=0.5 Thereisa50%chanceofgettingahead. b)twice.(orroll2dice)Experiment:Rolldietwice. SampleSpace:{1H11H21H31H4H51H6 c)IfP(event)=0thenitisnotpossibleventtooccur. 2H12H22H32H42H52H6 IfP(event)=1thentheeventisacertainty i.e.guaranteedtooccur. 3H13H23H33H43H53H6 d)Thesumofalltheprobabilitiesinthesamplespaceis1 4H14H24H34H44H54H6 5H15H25H35H45H55H6 6H16H2636H46H56H6} Event:e.g.Getatotalof5H {1H42H33H24H1} 1 www.notesolution.com
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