ISYEp6644pMidterm_1pExampWithpCorrectpAnswers
Whatpispsimulationp(M1L3)?p-pImitationpofpapreal-worldpprocessporpsystempoverptime.
Whatpispapmodelp(M1L3)?p-pHigh-levelprepresentationspofpthepoperationpofpapreal-
wordpprocessporpsystem.
Ispthepfollowingpapdiscreteporpcontinuouspmodel:
1pcustomerpshowspuppandpwaitspinpline,pandpthenpanother,pandpsoponp(M1L3).p-
pDiscretepmodel
Ispthepfollowingpapdiscreteporpcontinuouspmodel:
Anphourlypweatherppredictionpforpprecipitationpoverptimep(M1L3).p-pContinuouspmodel
Ispthepfollowingpapstochasticporpdeterministicpmodel:
Callspthatprandomlyparrivepatpapcallpcenterp(M1L3).p-pStochasticpmodel
Ispthepfollowingpapstochasticporpdeterministicpmodel:
Predictingpthepvoltagepifpwepknowpthepcurrentpandpresistancepinpapcircuitp(M1L3).p-
pDeterministicpmodel
Whatpdoespitpmeanpforpapmodelptopbepdynamicpvs.pstaticp(M1L3)?p-
pDynamicpmodelsphavepchangingprelationshipspbetweenpvariablespoverptime.pInpstaticpmo
dels,ptheprelationshipspbetweenpvariablesparepfixedp(e.g.,pVp=pIR).
, Whatparepthepthreepmethodsptop"solve"papmodel:pfrompeasiestptophardestp(M1L3)?p-
p1.pAnalyticalp(exact)
2.pNumericalpmethodsp(approximate)
3.pSimulationpmethodsp(approx.pwithprandomness)
Inpthep1940s,pwhopusedpearlypcomputersptopsimulatepthermonuclearpchainpreactionspasp
partpofpthepManhattanpprojectp(alsophadpaprolepinpthepfoundationspofpMontepCarlopmet
hods)(M1L4).
a)pWilliampGossett,pakap-p"Student"
b)pHarrypMarkowitz
c)pComtepdepBuffonp
d)pUlam,pMetropolis,pandpvonpNeumann
e)pJustinpBieberp-p---d)pcorrectpanswer---
a)pStudent'spt-test,panalyticalptechniquespforpGuinnesspBeer.
b)pNobelpinpEconpforpoptimiz.pofpfinancialpportfolios,pinventedpSimpScriptplanguage.
c)pDroppingpneedlespbetweenpparallelplinespandpestimatingppi
e)pshouldn'tpbeponpthisplistp:)
Surveillancepapplicationspofpsimulationp(suchpasp-
p"ispapdiseasepspreading?")prelyponpsequentialphypothesisptestspoverptime.pDescribephow
psequentialphypothesisptestsparepusedpwithpsimulationp(M1L5)?p-
p1.pComepuppwithpthepnullphypothp(e.g.,pdiseasepispnotpspreadingpwithptime).
2.pUsepsimptopapproximatepthepprobabilitypdistrpofpnullphypothesis.
3.pIfpactualpsamplespcollectedpcastpdoubtponpthepdistrpforpnullphypothesis,prejectpit,pand
psaypthatpthepdiseasepispspreading.
Graphically,pwhatpispanpindicationpthatpyourppseudorandompnumberpgeneratorpisp"nopgo
od"p(M1L7).p-pExamplepwaspgraphingptwop"randompvariates"pinpthepx-
Whatpispsimulationp(M1L3)?p-pImitationpofpapreal-worldpprocessporpsystempoverptime.
Whatpispapmodelp(M1L3)?p-pHigh-levelprepresentationspofpthepoperationpofpapreal-
wordpprocessporpsystem.
Ispthepfollowingpapdiscreteporpcontinuouspmodel:
1pcustomerpshowspuppandpwaitspinpline,pandpthenpanother,pandpsoponp(M1L3).p-
pDiscretepmodel
Ispthepfollowingpapdiscreteporpcontinuouspmodel:
Anphourlypweatherppredictionpforpprecipitationpoverptimep(M1L3).p-pContinuouspmodel
Ispthepfollowingpapstochasticporpdeterministicpmodel:
Callspthatprandomlyparrivepatpapcallpcenterp(M1L3).p-pStochasticpmodel
Ispthepfollowingpapstochasticporpdeterministicpmodel:
Predictingpthepvoltagepifpwepknowpthepcurrentpandpresistancepinpapcircuitp(M1L3).p-
pDeterministicpmodel
Whatpdoespitpmeanpforpapmodelptopbepdynamicpvs.pstaticp(M1L3)?p-
pDynamicpmodelsphavepchangingprelationshipspbetweenpvariablespoverptime.pInpstaticpmo
dels,ptheprelationshipspbetweenpvariablesparepfixedp(e.g.,pVp=pIR).
, Whatparepthepthreepmethodsptop"solve"papmodel:pfrompeasiestptophardestp(M1L3)?p-
p1.pAnalyticalp(exact)
2.pNumericalpmethodsp(approximate)
3.pSimulationpmethodsp(approx.pwithprandomness)
Inpthep1940s,pwhopusedpearlypcomputersptopsimulatepthermonuclearpchainpreactionspasp
partpofpthepManhattanpprojectp(alsophadpaprolepinpthepfoundationspofpMontepCarlopmet
hods)(M1L4).
a)pWilliampGossett,pakap-p"Student"
b)pHarrypMarkowitz
c)pComtepdepBuffonp
d)pUlam,pMetropolis,pandpvonpNeumann
e)pJustinpBieberp-p---d)pcorrectpanswer---
a)pStudent'spt-test,panalyticalptechniquespforpGuinnesspBeer.
b)pNobelpinpEconpforpoptimiz.pofpfinancialpportfolios,pinventedpSimpScriptplanguage.
c)pDroppingpneedlespbetweenpparallelplinespandpestimatingppi
e)pshouldn'tpbeponpthisplistp:)
Surveillancepapplicationspofpsimulationp(suchpasp-
p"ispapdiseasepspreading?")prelyponpsequentialphypothesisptestspoverptime.pDescribephow
psequentialphypothesisptestsparepusedpwithpsimulationp(M1L5)?p-
p1.pComepuppwithpthepnullphypothp(e.g.,pdiseasepispnotpspreadingpwithptime).
2.pUsepsimptopapproximatepthepprobabilitypdistrpofpnullphypothesis.
3.pIfpactualpsamplespcollectedpcastpdoubtponpthepdistrpforpnullphypothesis,prejectpit,pand
psaypthatpthepdiseasepispspreading.
Graphically,pwhatpispanpindicationpthatpyourppseudorandompnumberpgeneratorpisp"nopgo
od"p(M1L7).p-pExamplepwaspgraphingptwop"randompvariates"pinpthepx-
