STAI 07
, STA 107
Unit ⼯
TheconceptofProbabilitychanceexperimentiAchanc.ee
:
xperimentisanactorprocessofobservat.im
thatleadstoasingleoutcomethatcannolbepredict.edu
ithcertainty.lrandomexperimentsjExampu.si
reofachanceexperimentjsometimeswerefertothe.se
olingadietos ingacoinsamplepointiAsamplepoint.is
themostbasicout.com
simphgasoutcomes.Samplespaceri hesamplespace.sn
ofachanceexperimentisthesetofallpossibleout.com
,
esthatmayappearinarealizat.im
ofthisexperiment.ExiTossingacointhreetim.es
HHH.HHT.HTH.HTT.THH.THT.TTH.THTJTreediagram.IS
== {
n d
t z
= 早
伜 < 毕
,☆ Notes :
thereismorethanonesamplespacewecandefine.however.us
Oftentim.es
uawythereisonethatismostusefwl.li
nformativej.Discretesamplespacearethosewhichhave.fi niteugmanyor
infinitenumberofelemehts.lcanbelistorcournfinite.li
ountable
nfsetofaupossibleoutcomesareuncountabl.ee
initdycountable-NContinuoussamplespace.tk
Exianintewalonthereallinehasinfinitelymanyral.us
,
顺。
EventiAneventisanoutcomeorasetofoutcom.es
ofarandomphenomenon.That.is
anevent i s asubseto f t h esampuspacer.t l / Vote : C 0nsi d er i n ga
,
samplespaceeandAE.rissomeeewtassociatedwith.sn
thenifweobserveanowtcome.co orz
whichbelongstoA.thenwesgthatAhasoccurre.de
,
, Twonote.si
①
Weuse.ca/oitalletterslUsuallynearthebeginningofthe
alphabetjtodenoteevents.no/tneventwithonlyone0utcome
initiscalledasimpleorelementangeuent.otherwiseit.is
catudacompoundevent.Twospecialeuent.si
① Theentiresamplespacesisitselfaneventandsin.ee
iscalledaaertaineven.to
rcontainsaupossiblyexperimentaloutwmes.it
thataneventcamnhappen.weca.tl
② Incontrasttoacertainevent.ifwearecata.in
thisanimpossibleant.weusetheemptysetgmbol.IO
todenoteanimpossible
wentr
, STA 107
Unit ⼯
TheconceptofProbabilitychanceexperimentiAchanc.ee
:
xperimentisanactorprocessofobservat.im
thatleadstoasingleoutcomethatcannolbepredict.edu
ithcertainty.lrandomexperimentsjExampu.si
reofachanceexperimentjsometimeswerefertothe.se
olingadietos ingacoinsamplepointiAsamplepoint.is
themostbasicout.com
simphgasoutcomes.Samplespaceri hesamplespace.sn
ofachanceexperimentisthesetofallpossibleout.com
,
esthatmayappearinarealizat.im
ofthisexperiment.ExiTossingacointhreetim.es
HHH.HHT.HTH.HTT.THH.THT.TTH.THTJTreediagram.IS
== {
n d
t z
= 早
伜 < 毕
,☆ Notes :
thereismorethanonesamplespacewecandefine.however.us
Oftentim.es
uawythereisonethatismostusefwl.li
nformativej.Discretesamplespacearethosewhichhave.fi niteugmanyor
infinitenumberofelemehts.lcanbelistorcournfinite.li
ountable
nfsetofaupossibleoutcomesareuncountabl.ee
initdycountable-NContinuoussamplespace.tk
Exianintewalonthereallinehasinfinitelymanyral.us
,
顺。
EventiAneventisanoutcomeorasetofoutcom.es
ofarandomphenomenon.That.is
anevent i s asubseto f t h esampuspacer.t l / Vote : C 0nsi d er i n ga
,
samplespaceeandAE.rissomeeewtassociatedwith.sn
thenifweobserveanowtcome.co orz
whichbelongstoA.thenwesgthatAhasoccurre.de
,
, Twonote.si
①
Weuse.ca/oitalletterslUsuallynearthebeginningofthe
alphabetjtodenoteevents.no/tneventwithonlyone0utcome
initiscalledasimpleorelementangeuent.otherwiseit.is
catudacompoundevent.Twospecialeuent.si
① Theentiresamplespacesisitselfaneventandsin.ee
iscalledaaertaineven.to
rcontainsaupossiblyexperimentaloutwmes.it
thataneventcamnhappen.weca.tl
② Incontrasttoacertainevent.ifwearecata.in
thisanimpossibleant.weusetheemptysetgmbol.IO
todenoteanimpossible
wentr
