#OK to post homework
#Tianyi Liu, Nov8, Assignment 18

1.
2000:16965465344318
2004:16196017263096
2008:3182416524832
2012:8628577597686
2016:13873406885786

2.
i. .4962304640801336041988633951405063271525
ii. 
2000:.4886926154267658972685239859856665134431
2004:.3774150265683466898281039902940392494201
2008:0.2906376147145195432131004054099321365358e-1
2012:.1138587084629074652752933616284281015396
2016:.2558478272484348003956711181672289967538

3.
SimuCount(USEC(),3/10,2000,4)
[161.0490000000000000000000000000000000000, 47.06418594855327995424413583328118894503, .2902288304963079010036607567099988784701, 2.836005002126489589090651614312695446297], .4285000000000000000000000000000000000000

SimuCount(USEC(),3/10,2000,4)
[161.4240000000000000000000000000000000000, 45.96942705755641675376178705106863166919, .2797657123390216758535330789207413709941, 2.827465539274897993078579172305122619922], .4210000000000000000000000000000000000000

SimuCount(USEC(),3/10,2000,4)
[162.4975000000000000000000000000000000000, 46.28952358525630797140698533097457494592, .2220520087011765230209977928513691657903, 2.739581173287709248266854993326493426986], .4230000000000000000000000000000000000000

SimuCount(USEC(),3/10,2000,4)
[160.6480000000000000000000000000000000000, 46.58981751413070302110888534956403532256, .2927925221137551648908178371510308908770, 2.964213060952941467169227020273608636173], .4390000000000000000000000000000000000000

[161.3999999999999999999999999999999999998, 46.65683229710306854663607100641625378944, .2695069203525948108704969258325168219343, 2.844567676082227300797606389705762948028]


SimuCount(USEC(),2/5,2000,4)
[215.2665000000000000000000000000000000000, 50.48975616647400684889827001414873036740, .1265807821419850440978800381956103622043, 2.814540666392403460043690399481355547954], .2625000000000000000000000000000000000000

SimuCount(USEC(),2/5,2000,4)
[215.6630000000000000000000000000000000000, 50.15795481277122407547701521926843255050, .1801376146962519962421014458391007263872, 2.796274994075873188901327339347862932721], .2490000000000000000000000000000000000000

SimuCount(USEC(),2/5,2000,4)
[214.6965000000000000000000000000000000000, 49.96984478412955807047182456889954162859, .1155093597746692413608664884998390819035, 2.736494113221796327874505740438390347796], .2405000000000000000000000000000000000000

SimuCount(USEC(),2/5,2000,4)
[215.1340000000000000000000000000000000000, 50.29583525501887914740227772739662958272, 0.7827733783019630712470449196017321496565e-1, 2.695949673622465655328491703524726862734], .2385000000000000000000000000000000000000

[215.1999999999999999999999999999999999999, 49.87825177369391321878676788607172528303, .1260503199154978322151205189258525816741, 2.769840597275605810796455615525841288393]


SimuCount(USEC(),1/2,2000,4)
[269.0965000000000000000000000000000000000, 50.24270283085893061318077021735079400470, -0.4172564576371731709975225389893862267053e-2, 2.732520379895612092614802433146219368794], .1540000000000000000000000000000000000000

SimuCount(USEC(),1/2,2000,4)
[268.1960000000000000000000000000000000000, 51.07077034860547313535926813001162503408, 0.2572963514726886080973394125733967580635e-1, 2.768500533278650896398231854106272669522], .1620000000000000000000000000000000000000

SimuCount(USEC(),1/2,2000,4)
[266.8825000000000000000000000000000000000, 51.86366448439600955845026610393124593615, -0.3770426522366028582184000250057659247544e-1, 2.672034804848969326328210183879995471405], .1660000000000000000000000000000000000000

SimuCount(USEC(),1/2,2000,4)
[270.1040000000000000000000000000000000000, 49.52103779203339757084546848628229998134, -0.1043293258467170530030524464918839906456e-1, 2.822652611326024209004384445471978612617], .1575000000000000000000000000000000000000

[268.9999999999999999999999999999999999999, 50.90677754484170843449304156677286845821, 0.6279329467314818453721187986253705798344e-38, 2.748917015209751793596133398755463223695]


SimuCount(USEC(),3/5,2000,4)
[323.5950000000000000000000000000000000000, 50.32289712447008947544491353483422635025, -.1622711123239684357906507405715720370411, 2.720365440632152764472509644033139675242], .2385000000000000000000000000000000000000

SimuCount(USEC(),3/5,2000,4)
[323.3610000000000000000000000000000000000, 50.38372434626086670472603602000467902386, -.1348835781096769699226180682867118009157, 2.787699080746158458933455820843753532292], .2590000000000000000000000000000000000000

SimuCount(USEC(),3/5,2000,4)
[321.2635000000000000000000000000000000000, 49.63000169000601595687755419667670423777, -.1765962199537404642076512008094137934657, 2.794935843692008577862921607860399194881], .2370000000000000000000000000000000000000

SimuCount(USEC(),3/5,2000,4)
[324.3200000000000000000000000000000000000, 49.22661475259089964634717481789216558364, -0.6125813063343441295116482608265892369873e-1, 2.606123698634076678989355538423867228291], .2420000000000000000000000000000000000000

[322.8000000000000000000000000000000000002, 49.87825177369391321878676788607172528309, -.1260503199154978322151205189258525816783, 2.769840597275605810796455615525841288386]


SimuCount(USEC(),7/10,2000,4)
[376.7965000, 45.57039706, -.2568536049, 2.929398971], .4095000000

SimuCount(USEC(),7/10,2000,4)
[377.8260000, 45.54809242, -.1821061027, 2.661227570], .4295000000

SimuCount(USEC(),7/10,2000,4)
[377.6275000, 47.07132612, -.2790095277, 2.873433327], .4290000000

SimuCount(USEC(),7/10,2000,4)
[377.0820000, 46.76578104, -.3120082264, 2.855427241], .4255000000

[376.6000002, 46.65683236, -.2695069321, 2.844567665]




The first components of four runs of each p are very close with less than 1 unit of difference. Each one is very close to the true value with less than 1 unit of difference. The second components are close to each other with less than 0.3 unit of difference