Midterm 1 Fall 2005

Midterm 1 Fall 2005 - MIDTEEM 1 EULUTIGNS I'lL'ttTl-l...

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Unformatted text preview: MIDTEEM 1 EULUTIGNS I'lL'ttTl-l ill». SEPTEMBER 23 ENE Problem 1. rljrrllul Immunity melt-cw hrtt'e'.1't'.g.l".1't"ht-'h'a'. immunity Friar: |:| Inc-it: I'Jlt'l' the mural member f-[.I".'-'t'|'r"il-'1= Pvt-T J's-1.1 Furies. it'r'rl'rpml'wrfu'lr'tv distribute": L-l-‘lJli'lI'IIF'JI-H'FI lee lull Ftrtrl' rite mpeeteti 1irelue test! stander-:1 devitnieh fiver rliul Number r:-_-.I' .w'rr'ws in u Jim-1t. [hi .fitmtmg these hit-ates wi1h 5U etr mete fllflflJflfd the emltwtl warm: r-gf Ille' metals-r ry'sr'nm'n'. rfl'tl nrrfifhfl" The prm'JulJit't'ty Jr's-Hirer:th .Frtm' emerge!) Tit-affairs rlttl rmi' ,rarrflmlhilittrts. euwmm the fhfl'flhrbl'fifi't' Him I = .|.'. git-en mm X 3: 51] i Enlurt'm. {5|} 'I'l'tt: t:it||:|t|ttlitr|1 irt ugly l'llll l'tnul': H = dill .‘s: [LUE | 5le125 | 5] 1-: H.35 - 52 1-: lllll = fill]. We etntlel even tie this by inspectieh'. the mean is eleutrlg.I Itt'JIItewhet'e around 54]. st: il'we suit-inn full I'mIIt tt|11he I'tIJuet we lintl |tt=5U | l 21311115 -I' I] KUJE | lleJfil lellfi | IKHJU =5U.l. where we eunulte udtIth1ege-rt1'1hel'uet1het1het—l}: U25 hulttneee 1he J 1-: £1.25 and it's easy tn eempute ll 1-: “.35 There's an easy way Le I:l|.'| the standqu det'jtttjen: 1he variance. e:. is eemputed by a 3 = [-13 — 5:11}: 3-: tlllfi — [rtu — fault]I 5e “.15 +{5t1— in. If 1:11.35 | til surf 311.35 | :5; sun-1 mum = Llfl. Thuen = w'll.ll':l = |.||-'l-4'|-l|3. [hi Amt-mg- mth harm-s with .':Trj- er mere .ter'rtu-s- lint] 111e e1peeteel I.utlue el' the number at setews- Mung.- 5.l.1.l-ll.Il':l:'|l5. restricted their attentitm In just a part m'the uheve table. and cemented Lite new value at u as I: = 54] 3|: ||_l5 -|- 5-1 3|: H-154- 51 3|: ||.|.l.| = 35:15. But this ettn'l he tight-hes: can the espee1eti I«'sltle ej' tt quantity which can enljr 1el-te values e1'5ll |.'|l' mere he tts lew es 35'." The 112an is Lhttl IJtis lttst1ehle tirM'srt'r repres'rrrr Hewitt-Militia- distribu- tiurt-lhesum tsl'the pmhuhilifies is ttml}.I Ell l1|.'|l I. 'r'irl' .l'l't'I'I-Ir‘ radium-r- all The PMrt'r.t'.h_1'll.T. 'll'tiit 1sjttslil1'uel hy. rug . = 3.- Plx=iuxaeii=W F[}t'=-fill] stx=stn = PM“ 2 5m “.35 =fi_ Hntiee Lint we have used the [eel thttt rs: = 54]? and HE a 511‘] is IJ1e same as X = 5“. The eerree1 I:ttn11n:lilit'n1slIt-It'.ul'.ltt|:I-ili13.I table is theeet'tee tmd emu 1.1-e It- numbing IUSTl-l-l [Ll-12.1157 e::t11 etm1rtuL-t! .u = 5n st :35 — 5| st tl.35"-'l=13 — 51 ‘st tl.l=1285"-' = 5:16.429. Httt tin uuietr way [It L‘lll l'het tutmtt thing wttu'lel l'llL [It t:|:|r|1|'tt|ltt l'het |::lll'll.|'ll'.I1LI1|ll'l In F ['mnt ll'tt: twiginal ltth-lu. 5U K ll.33+5l K ll.13+52 K EMU = 35.45 and divide it by II.‘J'. Hntim that an answer nl' FILM makes hetter sense than me at Iii-1.5; the mine: ant' are all fine: nun-e. en the teem ehmtlrJ “time at least fill. fisfli'llmfi 1 Lml: pity ssri gnu :mrJ didn'1 will '_-.InL1 1n. usimpuu: Lhi: unlich standard erriu- Him. In case jmu'rc iI1mmL—a:d.il'sl].7l7311~li. U Fruhlum 1. H??? II In H r-I‘J'I'I'HIRII'hI'JI'JIL :‘W'fi r.I_|"r|'H' .n'rarl'r-Jrrxfhlru'r'n [hr-I srwrr {rug-rm {Jj'rhi' .s'lrarl'r-rrl'x1rhrr film-1'" rl'ra- Ei'rlgm. I‘L'F'i rm" girl's. I'_'J;I' I'I'n- .rlrrrl'r-ni's sl'l'm fil'rJ m7: pier}.- r'n r1'r.- JMgMi-t ‘F‘F'H rm- hrr_1'.r. {5|} H'FsTll'fi mu“ afi'rrlqmm r'flruzrrr'lulg r.l'rr'.r.-.'ri'marr'mr. lib} “TIM if IIrr frnsl'ud; rTll'j' firm! :I .s'l'mfr‘ru rarndrml'y sin-men I'm-m Hrs- .s'c'h-rml' is' a girl! 1I'hrrfrfslyr.‘ in din” Hflt'i‘r [flrgrrri’ #5:} Mar)": rl'uragfurr urn-Inst: Ifrr Jr'fimfl. Knml'r'ng mufimy r'l's'r' arbmr: firs what :1: Hit- fmsbarbr'fily .s'Fri-I play): r'.rr flu" .s'm'r'rr haggard? Eulun'ml. Almsmgh this can hr: 591% w: u mnlingcm‘y Lahlc prob-1cm. mos: students Iwill mill-ably 11H: mun: {mnt'nnnhlc will: I11: rrw snlulinn. whim :is mums: we'll gim W611 stun nfl' WM :1 mm. :1ussit'ying s1udm11s us 1-: whcslnm 11mg; play run-rum [fins-tr"; nL'dsm'L r“SrsJi-.:I:r"}: men as Ln whining: 111:}; an: 'hsrys sir giL'Js. The inl'nlmminn we. luau-r. mm In summarirml in nut first man: [11' usiursc. it'TlJ‘rl: sil'1hi: stud-cuts plug.- snuvccr. the-i1 .ill'ii dnn‘u simiJurly. than which is run: a girl is a ling. 11'le 11m which is rim :1. 'hsry is a girl: wiL‘rL such Lmimnnplams we can Ii]l in snmr: mm: nt' Llu: 1mg: Hun- wc'm ready La answer Lhi: qucslismsi. {:1} The prnhuhilhy :1. s1udtm is :1IEH.'I'_-i' is H.215 — H.165 = :1-1] [dividing 1hr: hays iiiui 1hnsi: W1“: play smear. and thus: whn rJnn‘LJ- Thur mtufls Lhc pinhuhiJiLy :hr: studcrn is a girl is ||_'7I‘!{W|1Lch I.I.Ir:'|| nmd in pm “:11. {b} The jirnhuhilhy :1.L‘JIEIIIJII'JIEHJE.I chasm sme is a girl whn- plays in Lhc mar lcuguc is U955. Tim's HS and G]. {cl Wc'm asking fnr HS I5]. flu: prnhubilhy LhaL a ssudcm plays ssmcr gim IJuL she's :1 girl. {"MUJT" has manhng 1n 111:: with i1; 'LL's flu: gender nt' he: duughmr which is 111:: imp-:mum damn] an .PlEsacL'cr and Gil _ 11.455 _ — = U.?T"l [36:44. FFG} H.551 This shunld hr, mundnd nll' Ls: UFT. FI'S-I'HIEEIG} = Still “lit-.5 Problem 3'- IEFSIH Hm rm' rIrt' [t-uurt-trpllmmmn'l rrtumve' ay'iftrv 1m Ant-rm Myrmllmmnu flurry” Burnt-r. “WI-um rJt'tI'II'r Er .t'tlnlt'j- rfl'filh‘ J'fithw ru :fle'rt'a- mmrv-mjrmmlr.t'mmntrl'rm. TIrt' Hart-H rm' mk-e'tfm mn- n'trv ti'lf-trrlt'_'I-'-'.5|'.1'It'|"|'.'r1t' 'E.'rtr'I'Ir'.IIJ'. 'inII'Jtttlt" m 'Hmr': trIM' 4mm rn r'JIrt'J'r'trr-e' flmu' mclrn' tithe: rt:th u't'u'It h'n'v J'fitfiu' rIIt' Int-wt. 'fln' R'tlrl'mtrrr' ruthlrl'trtr'n' I'll-Imu': —| mm 24 mm ml I“ | in; Hm! rII-e' .lJf'rh'hJI'lnil'J'n'l' “It” at I':I.Ilr.frw.IrI1'-;1.‘rtr'r1' I'I'n-‘I'h'hllrfr'lll think: my mix-«'t'rkfir't' .i.-' 'Fit'r't'h't'nr'. thin Gr'llwl JI'ItII' H ntmIrunh -.m'r'Itt'r.I' I1 'Frh'h'lrl'r'lll I'JIII'n'IH'rLr-e't'n Jam-Hm; t tr Lrt'u'It.filrtH-bu'pm'rclhin'flj.‘ Hmr .'Ir'.-’.~'.'Ir' gthu' tm 'Awrtrgr" I':I.'.‘Ir_t-.' {4:} I'l-rw'mirw Il'IlII’Inllr'F .I'nllr' i'b‘r'JrII 'l-I'rr'r-I'J'r-Irr' ram-f 'FI'iaf-u-t ‘5 5' Un-J'Jalrfla'l" rrn' r'qu'pI-‘Jrrfa'lrr; .I'a-I .Iwm' Int-L'Ilu'rlir: -.'r.I|rr' r'rrJ'rIrI'rrIirmt. Earn-firm. E"1'I‘~'t1.'-'-t' "fill in 111:: Ttmgini" hit :Idding thr: Itrwu and EH'IIUTLIIP“: —| mat-m squat-um | lnl lmlifll II Final :Hf'i 5-1-11 ITH‘J _|“——l- tun Fttrm this we so: that 1H:- ul' mt: [11.9 15mph: gun-tycd fluid. tht attr- t'im: Want "I-Iatucllcut.“ 'J'htmt'm: the nun-am: it. fit:- '—A-.t].il .1' I159 ' .3 [hi 'l'htm: :J.l.'{' dlL'i tt'spnnd-t'nts whtl ritlt: lmwwn E and 4 day". .1 watt: 15E] gun- :II1 "-'t'+'t:|'.al545"r.ali11g. II'IL-Tmtm: lht: unumtr II: 5H 1:: || ENTI, 443.: {tn [n tut-tier l'nt' twt: m'cmri A and fl Lt: ht: intit‘pcntlcnt. w: IZI'L'IJFJ: 11mm Phldil B] = PM} - PM}. W: L'tamput-c 53E: F t—:. - I] *= =n._1uu.223 I! m: cm; I?” H5 'Jduw‘ — 5‘” —||1||:152" -"‘I1I.w_" ' HE Phi: h' = —=Il.tlH.'i|tJ6r1. t :' 3 I739 hull 1|..‘lt1H-lli DIE || iltlfil’l “£1957 IIH. 11t:-| || “EFIHEA. 'I'I'Im; |l'||.'!'-I! tartanlnt :LT-l! Imr Intiufhtntl-nnl. hllcmut'twlr. 5- iEI 54E] SSH-L1” IT]? I Ill-'4 j-fllr—l-Ill rcducrd1t+|tmmllcrrt1~ttt11tl mi: in HM thn: Fill11cil‘i |-1~E..-' I'I'3‘J U Problem -1- {155+ I. Stturre'rm. ranting n minim; t'fam'n' NHL-"III ry'ngl'm'wt'trtt- 'il'él'f'l'lt'flrfi'. hit-thw- mmfi'alrt. um! Mull-"Fri. at: the Mt! ml'rflt' .1'1'Jfll'fi't'l'li Jn'lr' rrmf'rw- mr nthm'trtr'n' rl'rt' _t-:rtrr.|'r'n' m .I'rn'n'mrn" | In In Iflnltl {uh Gil-mil that r: .1'n'utr1'r'fll'gt'rn' cm .41 or.” H. 1: that .I; thaws-thunk} that In- 1:. mt myth-witty mum 1’ (1:: Gil-HI rIrtrnr mrdt'm .3; cm flrynmufw; imam. h-Irm J.-. :methrmfirt III“! In‘ FELT-arr? A Hr ti 3:" (1:2: Wham .u rIr-e' prnhuhfimy mm H .I'rartrt'nmh- rflme'rr 5mm” gm; an A m -:l' H.‘ Sumnml. Same tituatitm as the hm pmhl-cm: unmpum the margin; Hm- [hint uJ] will b: Uri-:41.th it'sjust quit-km 1n g1: amend and g-ct it titan-:4- hitrw M: can mud HIT'IhI: 3115mm: in] E1 = I3 + J] :ttudcntx gut an :1 run :1. B. and ll = 1' + =1 wen: cngimnring tnujrutt. an [ht pttnhuhility it 113'2-1- '-1= ltd-£83. [by |'-' tri'thc :iJZIJdnnH air-E I-Ihg'tncm'tng rtmjtm. and J] M than gm an a". ttr u H;fin1hcpl.t:h‘thilityifi | |.-'JT-' $111.64“. fifl].L'llMfi IIEII IIII IEIIII lflflflfll lllllflfll {c} It [mu] ::I' 24 nt' IJIC 55 mud-cm: gnu: an h n: a H. m [ht pmhuhilily is 24:55 ail-13m. U Emblem 5 mm. SJI'PIIF-Wr' Hmr Hi “mm mplirunrm Jim: Rimmed! Fairer. IL rmi' dim-uni”? am 1'2: ehlw'mc-d with THE-'jhlllli'ilh'lfla' rmarm'rwr'mrw: Qi'gwrlpl'q' It'll-'1 I‘m-w Fit-uranium Fawn 959+ and m'iar'w uni-f .W-‘r ir‘fl' m-gwn'w: [y'm'erE-i' h'hn .nfrJ Inn-11' .I'rc'rur- Emma:er Fifi-w: Pi. mr I'mn'rfui' mad 9991i rr-m' m-grm'pn flu flrfl'lt'fl' rm' nr MIN-v .I'n- J'Hrurrmr' rm- .fl'armrr'mr. Eb: Whflf Ft III-2’ {whammy firm :I mmm'y mun-H Pa'flflrl mm- putr'fiw and .I'rm‘ Hrmrllrmji'wri‘ {c} Win-r I; Har- llmal'k'rIu'Jr'm [hm .r.I rrmn'umh' r'herr-err-rmn .I'mw Humarlrm Ilf‘Lll‘r. gmnn HIM .I'ra- MW; |Jim-w?fun-i" Sm'un'rm. {a} hgzu'n. '.I.Ir:'||-i.1unLl1i::|:i'_-.I 3 WE. Hm'fi thi: plum-c: Eb: Since ll}: [Enhahllity nj'ucnlnpucmnd cm: :is nhuu'nmd hylnninflflng 111: big»: pmhuhifllic: which [and Lu malcnmpnumi mum- mica: :hw: I‘[R||n1fi+] IL!“ 3-: H.95- INIHS. it} PIE-rim and +1 _ u.L|LI':'|5 Pr+1 _ III.|.H.|':'|5 + LLLILI'J'J film-as: a 511%- chunm which might mall-m 3mm nan-ms 'Ll' :mu nit—u: punitive [or anulun 14cm. {This pinhlcrn i: dclihcmlcljr myplml'. it's Fit-l)" hand EU: 41 [can Ln give many Imm: j'alu: ncgnlivcs lhun I'altc whirlwu HRHmIH = = £14391 U Ih'flblflllfi HUGH. I'Fxrm' Emu-«Inf rJ'r-r' Jfiipl‘i ry'npmwir'tv dr‘rrafrj'flinr'fiun flit) wfn'rfr ru-r'x I'J'J'nm'tr'l'}:I HIT U 'C .1: I: HINT rl'flw fim'nr‘fj' rm 5 .I: E 3. .-1. “Hum rum-Trim leii-ml'il'e‘ I hm fix] me .im PDF. Frau“. I. PIJF y = fix}. {up Fem-1‘ my mymrurm If): = {[1]. [hi Fmrf my twirr-HJWJM ry'I. {til Farm‘ rifle variant: urn-1' mallard dmiminn ry'I. Sm'wu'm. {it} 'J'II II! 5| FI'M". I'I1i:: .fll'L'Jl undur [I'HL graph 11I' 111Lle bl: |. Elma: ll'n: I'L'. gim undn‘ 1h: graph ix. :1 triangle wi1h ham: .'1. in: htigh: mm: Chen:- L'nu: In: 2H. 'l'hmc. 1hr: upper w:me hl'Lm triangle ImL~L1 hr: [3J1 2H]. Th4: :‘i-IITIIE'I'I': nt' IJ'u: lim: joining [LL u} 1n [IL-'2. HA] is l_.I'3 — fl '1: _ iii—til _ '4‘ uimilar'lrv. |'|1i:: fiJllrll: Illi' ll'rl: IiI1L-. jllining flail. 1193] [II [3. Li} ii: In —d-_.I"1|. 'I'I'H! miuminn :I-f _II' in. I'l1i:!rL-.|'IIrI.-. [IT I [HETE who :1. a ] HT] 4 EH— n r3“. :5: 5 3]. fifl].L'llMfi [bi By sylmnmry. 11m: cench nt' muss ul' 111m graph lint mtr x = 5;"1. Thfltl'ntt 111:: myflummn MI is givm by .u = 3_.I'2. fir. jut-u can :1:H|:~::i|1m;gru1i:m: 1 EEK] =Jr .1:_lf[.|:]r.l'JI. El 3.” 4 .1 4 =Jr .r—.reJ.r+Jr .r—EJ —.r}d.1 in U m ‘1' _ I 1.32 F _I. =15" + (EJI— 1.1.") H3 11 fl 3.. 2'? I E + l 3 E. [ law it 1n. 5mm Ln decide which ix. claim. {up WI: um: flu: simpliflad l'mmulu I. 1'.I':°1.I|.}:":l= I-JII[I]I'JI.I.—H!. .r The inmgral is: mmjmcad m'mln pimm I. :- Jf—‘H 3-1 I q-f- u .1: —.I: it = —_I: = — E u 9 I“ HE. and ‘ .1 l " 33 f I: —H—.I:_IIJI:=(—.I1——JL'1) =— In '=| 1:1 In If; l'l1::rI.-.I'11n.-. 1' . I; 33 at .' T.‘ 41".'=— | —=—. i I "I H L la 1:: 3 Emmy 2| 3 3 3 Vflrrx] I — That's the variant: 'l'hc flundard dm'jun'mn is lhn square rrml nl' I11: mun-Ice. E w“? “=1'IIE=J4 53 [LIE I 2332. ...
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Midterm 1 Fall 2005 - MIDTEEM 1 EULUTIGNS I'lL'ttTl-l...

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