Midterm 1 Spring 2005 2

# Midterm 1 Spring 2005 2 - MIDTERM 1 SDLL'TIGIHS{In Tn In a...

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Unformatted text preview: MIDTERM 1 SDLL'TIGIHS {In Tn In: a pumahilily dcmity t'IJII-rLi-rIII- IJ'I'E- ama undcr :hc graph :II' J" MATH 1III.FEHHL;.1R¥ III 1005 mum bl: 1- Em ' ' . I . I 1 ' .- r:-|'I—.r]r.|': f rt—rx'rI: (—rt'—r—1') —. JEI n 1 j n f. Emblem 1 HUGH. Fagnre' HI'Inht-I rJ’I-e' grarpr-Igr'erprrﬂmhn'llju rEI-‘ﬂJHrfI-‘Jrrlrlr'ﬂrJH [t1 mitt l'nc' Ihix. LI: II~I:- I. wt mum Ihcl'cl'm fume fix} aims? madam» I: ay'rﬁyﬁum {b} By nylmmry. :hr: mnmr nt' mus: Inl' 1111: graph HH- nI-EL' .: = lln'E. Thtucl'm'c the E'IE'Hl'cluIiﬂIEI m'l' iﬁ git-1m III.- ,u = If}. "I'nu can 315:: 4:: mi: lay cal-calm. Th4: Hum-[Minn is 111: i111:qu uh ﬁrm. i.::. I J] I tﬁrl'l — 1:]r.|'.lr -!I f[.:]=r-.:Il—x‘] {ngﬁ 1] jar LI ru'rﬂur'rr mJ'IIe' rgll' -:'. A mrm'rmr I'ITrI'cIIIFI' X ITqu III} In if: pnﬁmﬁiﬁﬁ rh'nxiryﬁrnrrr'am. = fps—513d; El 3 I = {111' — ii“) r: 3 I = l - = -. I 2- [1mm it In. you In amid: which ix. main. {t} W: um: [ht :Iimplil'ml L'mmulu I'm: the Valliiﬂllllt. 'I. L'aIIxI = Emmx — u“. I: J'I'Iu -::-11| ::I[I:h i5. vIIu I'IIHIL'. In mmunﬂxlr In Kuhn-£1 IIIE't' 12" Thu 3" r I J Fran}: l. F'III'F].I = :.:::l — Jr]. lira-II part is l I I Emu-nan: f m1'—Is.r"rrx CI - E - . 3 a ' m: Faun-[me I'cTIIII-e' I'I'II'Irr mulzl I'mw = (-14 Hf) [ti-:I Finn-I l'J'I-r' +'.|.'I'WI'I'-:l'1'-:TIH¢’ an" x. [HEM II‘HW't rm may way In 41'» :JIIit 3 5 n mm' 3 fl {-2} ﬁan J'JII“ variant”; :1an Hamill-cl. L‘lli'u'iilEiﬂﬂ rIII'JIT. a _ E [:I} .EIIIIri'H' hmq' in find 1hr Il'r'rIII' :fImriHr' NJ" I. in I'IIu' L'rIJm" r.I_|"Il' .51th ﬁlm! 3. PL!" 5 It} “.15. 'll'i'm “'1'” mar I'M" ahl'a- m a'rrI‘Jrc'rJ'Jv m1“! “IF Hl'flm IErJrI.'_er.I.'I Iq'rirq' IIII“ Hflmn'rm dawn. The Imam“: iq maul-nu: 3 I I _ I E'rJI'Id'er. TH E- — E - "I'll: simulam dcxialism is. the squum mm nl' I11: variance. " I —'l'. 211.1136. :1' FIE 2W5 Il's: sllun v:|.|1|.‘l Incumrlllltl Il'lL'. variant“ :L'i. I. I 2 In (Jr—E) ﬁx[l—.:]d.1. This still marks I.'II.1L :n he IEIU 3: [F.Uﬁ- hul it's 41 lilllc I1'l|.'|r¢ wash. U Pﬂ'rhI-ﬂl'ﬂ. I. H.551!) In :4 Hal-Emir! .mhrJrJi'. HF? rgf'rl'u- .wrarfr'nn play in flu-I mr'r'rr [Pagan ﬂjllhrs'l'url'rnn Hnrm May in Iﬁr [Pagan I55"? urr girl's: ﬂj'rﬁr sirdrl'rnl's 111'er sl'rJ mu play in Iflr .I'Hgglrr. 55 HI arrr' hays. {up ﬁrm at W! ding mm I'J'Irdsrrmg rm.-:.1'i.lrmriam. [hi MM is rin- pr'nhuhiiuy rim: :r .1'rlmll-e’ﬂr mml-mriy whats-m Irv-ml rin- s'riiumi is :4 girl Hm plays in him sum-w It's-gm? {El Mary‘s rim-gm” ummﬂ w snﬂrJrJI. Kﬂrj'n'l'ﬂg mammal stunniﬂu-urmyﬁ him! is fﬂrﬂnﬂhfﬁfj'ﬁfw {Inlays r'rr Her .s-w'r'rr Frags-e!“ .E'rJiIm-w. lfynu lﬂlﬂkﬂl :11 las1sclncsL-:J."s1irsl mid1mm.y¢m slumld rangmim this pmhlmn- It‘s :smplﬂcly umhmtgcd frnm 1:15: scmtsm‘! Mll'rnllgl'l [his cum l'llL mall-ml .‘Is :1 Dim l1ng|u1|:1I,I lsll'llu Im1hltln1. HEM sludunls Will [Ind-Kahly II: I11IIn:: uzrrn'lanilh'lu will-I Il'lL'. I'FH“ rmlulinn. “high 1:: [l'llL nu: ma.” giuu. 'Wc'll mm nt‘t' with a “'61:. classifying s1udans us 1:: whmlnnr 111:3 plug- smmr t“S:n-¢u:u"] nL'd-mﬂ [ﬁrm-u"): men as lﬂ whtmcrmty :m: hays her girls. Thu: int'mmlim we ham: can In:- sulmnmimal in nu: tinsl um; Elf “mm it' THE:- ul'ﬂnc slmknls play smear. IhE-‘Cl'l JUGE dnn‘L'. similarly. Lhu; which is m: a giII is a hay. uml 11m which is rim :1 buy is a girl; wiIJ1 such :nmmnnplaccs Iii-t can fill in mm: mun: nt' L‘ru: mm: Finally. mcnmplcm ﬂu: mm by mulLiplying :hc prnhuhililics nl'hmnuhcs: Ill-r ﬂ Flu-ﬂ II‘ I“: Ll! Ina-:n' n r = " lul. u.:I:.n.II-u.u.|. L.“ I BIO Ill— Ina.- u. Bil-n. II-u .:-u I'“ :ul. ﬂ.llﬂ.lI-ﬂ.lh Hair we'rc 112ml)“ Ln mum-1:: lhn qucslisims {5|} 'I'hn :p'rivi1h.:ll'I-1|il:,I :I '-:ILII:lL'.r.I| is :L I'm-r.- is: H.145 + (5.155 Ill-'11 [L‘liuitlmg ll'lL'. 'h-cngls inl-z: ll'lmu wh-z: plug slimmr. iLI1I:l ll'rnw: wl'm L‘llln'l] 'l'l'ulli Tl'lL'Jll'llli Ihn I'lml'In'h-i'lily [hu studlml is .3 EH is ||.j'i:|l {which wu'll mth in runrl [I:J_l. {h} The pu'nhuhilhy u. Luumlnly chasm man is a girl whn- plays in IJ'LC mm Itugur: is “.4155. That's HS and II). {c} Wt'ﬂ: asking In: P13 (3]. me junhuha'lhy [hat a smug-m plays sax-m giwn mat shc's :1. girl. {"Muﬂ" has rushing 1::- dn with i1: Li's IJ'LC gender nt' he: daughm which :is 111:: imp-imam dummJ Hnw ' J' ." Hﬂsmm and ("J = ﬂ = “Tn [mm- i'l'G} ll.th This Humid h: mundcd nll' m U.TT. Frﬂxmulﬁ} = U Frahlcm 3. 1'1'5‘1-111 .111111'11111111'1'11111111'1 111111111-f1'1r1111'1'r1'm11r111r111' 11311 11111111 r11" r11 111111 11.111111. 111121111111 111111111111 11-11111 1'11 1'11'11 1111-11111. 11.311. 11111111111 11511 11111. 1.11 .11 111111111 1111' 11111111111'1'111'1'111'111111' 111' 11.511. 1'ri'l'i'_.[1'1m .111111' 1111' 111'1'1. 111111 1' 11'1wl11'11'11' 11r1I111'I1'r 11111111111111 11-11511. 1111111111” 1'111'11'111'1' 11'11'1 [11 r'11r1ur: r'rIM111r'rrr'113 .1-1-1 11111.11. T111": 1111' tlrprmurkrrﬁndx1111'_111111111'1r11"1111111 11111111111111.1111 11'111‘r1'1r111r'u-Jri'1'ur 11' 1111-11 1': .. .11]:- I IIIIEI I 11511.1 111111111; 11.11. HM: 11111 .1111111ﬁm111 1rEll-11111111111111l'1r1r1111111.111111 2 11111111111: 111'11511. 1111111111 11111 .E' 1'111'1'1111'5-11'11511 11le 111111. {:1} F111 1:11. 1111" 1111:11'3111111111'111'1111111'1111-1 1r: 1.1111 121.1111 11.1 1.111- IarIal'r. [11:1 Winn 1'1 111' 11111111111111131 111111 111111- 11111 11-1111 1 111111111 1141311511 11111111111 11111111113 r111 11111-1? {11:1 F111111111' HIP-111111111111 ﬁrm-11°11 11' 1111111“. [1:11 1111' .‘1‘ 111111 1’1111111-111'111111112’ 151111111111. 5111I1r11111. {:1} Elm. 1111: mmginal 1111111al1ili1'112s; 1" _III| -IIIEEIIIEII I mllmﬂl Pf 1' =1 Inﬁll— Tlt1: 111.11 111111111111 indicut-cs 1111: ptttbuhility thu; 11' 1:11.11s L111: 1ral111: in 1111: ﬁrstcnlumn'. 1111: 111.11 1'1'1111'. 1111: 11111113111111?th 1' 1:11:11: 1111: 1-‘alt111511 1111: 1'trst r1111: [11:1 Wc'm asked 1111 HI = l]- 11.11.11 1111:1111 1h1: Willi-11111311121 11131 as. 111:: 1-1rst 111: 1111111: t11cnn1|1ut11 1111: HEEL-121:1 11111111111 .11 x and 1111 111.11.r and 1'. This is 1111111: 1:31 |111.»: l 1rU.51]-l-211U.511= 1.51] 11,1 =11: U_lI-l- 2 1r U.3-1]+ 3 11: [1.511 = 2.4151. The simplest way t1: 011111111111:th1:1.'111':trian1:1:'ts tn 11s1:th1:l'1.1r111u]:1 111111.151]: £1111 1'] 11111111. T11 campus: 111: 1111;11:11th 1'11Juc 111' 111'. 11.11: mmpum 1111 s11. Ih'ndlluliﬁ 111' 11' 11 1". 1111.1 multiply.I 1111: [11111-111111 I111I 1111: [111111al1ilit1': E111'1'}=l1r|1111.[1ﬁl |:-e 211U.H] - 1113111135 I21rl1r1111'1' I 31:21:11.211- 2113111123- : 3.151 'I'h1:: 1:11rt'11L1 111111qu 111 11:11.1 11'. 1"} 3.61.! — 1.5“ 11 2.415 [1:1} 1"11'1: 11-1113.- insltel'nlndunl'? N11. 1 1 1:1.- 1.11.'11t'1:1._l: I1 L1w:tr|.11r11:t-. 111111.11 111:: 11111111. 11.111111 is'n'l. ."'1|It-.n'|:II11-1::|}'._ 311" mu Bit-THEM”! 1’11: hi? 1] “.115 and 111111: 1|.111r1llLEI1LﬂI [11 1'11.“ 1} 11 P1: 1’ I] ll. 1 1 1c “.51! “.1115. U Problem “liq-1. 5111111111: 11111113 11111|li111:|l:'111 Dumlnicsr111111'rlr11cr'.1r1:11.111- 1'111'11 Jr111_1«-:Ir.1'. 1'11-Ir1l111111r'r'111r'mr.111I1Tfrlrt.111111' rI11'11'r1. 1'11 1111' “11111111151111.1111 1111' pnﬁ'nunuhlrfanw Harms-11111 111111111111" IEI I III!“ III 111:: 1311-1-11 11111111 .11111111111g1'r1'1111 11 11.111 3. 11-1111”: 1.1111111111111111111 111111.111 1.111111111111111 1111111113“ 11:1 1311-111 11111: 11 1'1r111'11'1111'1'1111 1'1'1-1111'11 1|11T_l:-'|1'. 11'1111'1111111'1111111111111111 111111 111' 31111111 11. 111'11 3“ 11:1 WW1 1t 11111 11111111111111'11'11'111111 11111111111111'1'111111'11 11111-11111 1111.1 1111 11. HF 11 ﬂ?‘ 511111111111. 3111111: s'tt11ati1111 as 1111: lastwnlchm: 111111111111: lbs:- margirts 111.11. [1121.11 111] will 111: \$111.11.“ i1'1justqt1'ttk11r1n 511111111111 11111 gm :it dnn:.1 HIM 1.1.11: 1::t11 rt-.'I1:|11|'l'l|'|t-.:1111111.1.'11r11: {11} 33 II + 11 sltltlt-m I1: 31:11 .1111 1"1 11r11 H. :t111:l I1 I1 + 1!. 1111111: s.1::i11nL'1:1 majms: 11111111: 1111-111111l11'li11.I is III-'33 = 4,11 l a 11.3113111. [111 11'1- 1'1-1'1111: s1url1111ts 111': sci-2111;: mujms. 11.1111 11 11111111111 3:11 1111 11 n: a 11:11:1- Il11: 1111‘1111:1l:1~'.li11.I is [1.1215 = 151,113 2 11-11115- IIZII IEIIIIIIII'JIIIIEI IEIIIIIIIII Iﬂﬂﬂﬂl III'JEII {:1 .ﬁt tntuJ t1l'33 at 111: 7:3 sttltimts gttt an A I.'H:' :1 B. 5.11 tht: [:Itt'thuhility is 331'?” 3: il-ﬁl-i. U Fruhlt'm 5 Elii‘ié-J. Erwllw mm 2“} utr'rtw {Hi-furittrimi' hut Uurt'tthtnr ﬁrst .-'I Filt‘rl' rt'ittgnutrt'r' in? it tfst't'tm' H't'ih nitt'_.I'ut't'iiltt'irtt;I r'hctrtu'rt'rr'stirw: Elfpmpt'e' mrm .litrt'rt L'rtrirtitmr Farm: Fiﬁ-5F rrsrprtsirt1'rtrmH‘1'r rrsr segment-2' ﬂfpe'npt't' 11-h” rt'rJ mrr haw UHrJ'd-hrdi‘lf Fe'L'E-‘l: Ft m: {Mttﬂtil'e' um! 539:1? rr=-.-:.l rtrtgurt't'rt. (11;: ﬁlm". it New arr rem-is m JHﬂIrrtHF‘ rin' .mrturt'rm. [hi Witter 1:: my .Irmhtrht'i'trjr rimr ct mad-witty (“hi-.1?” WIT-IF” mm: prtst'ttw and has Ul'i't'l'lt'l'tTHI J-i'wrf‘ in thr is Hit—- {FHJhﬂhffi't'll' than? mmfn-Inhr rh-wn I'H'ﬁf-II'H hut Undtrictm Frws git'c11 Hm: hr r-r'trsputr'tit'ur'?‘ Enitirtrm. "L'ntlulttnt faster“ is :1 mail tliscusn. haunt Itnnwn ttn:l:t].I as Bmtcl- lnsis- [113d 1115s 1.1-th I wus sitt ycutts nL-Li. when drinking unpast-cutimd milk: struight t't'tm1 II'II'.‘-' I'ut111 1.511s mttt't: Etﬂﬁl'lint't. [Bt'umlllnsis was in 1111: news t1:- tttnlly. 11 smut: this}.I httt't: WFIJI'DE-d hunting wild him“ [:tktt "13.11131an in Wirmning. Rnnthms t1t111't like, hint111 humus: IJ1t:j.r LTtmsrni1 htuccilhsis ttI their 1;:11t11: J ttti .I'tgttin. wc'll tin this h}: .1 EDM- - ﬂ I3." "I" "I" 11.5: Ihtl. t. a“ - n.um.n-n.mm " n - n.um.tt-a.mst I “I 11.“. - El. Hui. Eli-Ii. ﬁll: [hi Sim: Li's:- pmhahility m" :t mmﬁmntl-smt is nhtuinnd 113' JWI‘II'HﬂtPl-WJX 111m wigs pmhtthiiitics which [cad tt: Iltatcnmpnum] amt- Wit-512:“:th PtLIntl-bt I] = U112 :-e H.915 = Utill‘J'E. {1:1 P[[.-'t:d :h'ttl +] _ LHJl‘ﬂ — = Ltﬁﬁiliﬁlal. Fi—J [LIII'JE + ILHI'JH HL‘ndH] = r'tl111tlst tt If} shunts. which might mam: you nmtms :it' you tt:=tt Ixﬂililw t'tlt' Undulmt list-tat {This prtlhlun is deliberately tttypit'ttl'. it's 1.11! had [Inf :1 lttttli L11 i'I'L'. I1Lan I1tt1'nt! [HI-LI! n- uliwts ll't.:tl1 Hal-tit! '1' E 3’ L15 It-txtiliiututJ U Problem 6. HEW-J Thy U-R-Btttr .trtrmlsat'i's rum-1.11:. ram-1mm: mmsimtﬂ'jt' 2U m :t tun-rm: In!” 11'»- tir'ﬂrtitr Hrlh'JtIJr'r' rﬁlr'rt'nﬂrﬂ pm“ r-trrtrm 11mm; with primar- hit't'tjtl riisrrthrtriam us'j'm't'nn s: mailman ﬂlil Hm! ri'w impacted Hint: mm' slande dct'itttitln Iii-r ihr NHI'HI'lt-‘r rill" wan-11.: r'.I1 tt f'tTr'l'iitH. Eh: hinting thL'IF-E- hit-stat wi111 Ill] th more 1.1mrrt1s.ﬁrrt1'.litr swat-111' t'ttt'm' ﬁfths murmur rill" 111mm rﬁ'r r'sreyl'tttr.” i‘TI-e' prrlt'lctt'lr'ir'tjtl distrihtrtiur: .I'Im' r'h-zmge'd.‘ "F: fin-11' Her New prrlt'lttilit'r'tirs. rrlmﬂsir iht'ﬂmhrrirt'ﬁry Hit” I = .|.'. git-1:11 111:1l X 33 EU} S'rJt'IrJ'er. {5|} 'I'I'tt: t::t|t:|||.alit1|1 its ugly hul hrit-J': f: = [7 3|: ILUﬁI-I- '3 3|: lLHJ-I- I'll 1|. [LIE-I- 1” 1|. UJHI II. it ILA-U = “Lit. Wt: umtld mm 1111 1his by inns-JtL-t'tnn; tl1r: men is clearly mtncwhm: amund 21]. st: il' wt: suhtrttn 21] 1'It1111 ul] 1111: tluJucs wt: ﬂirt-11 p! = 2U+I—l] it I].le — [—2} :x' U-|.1]+ ﬁ—I] K H.I5+|.H{ H.4li+] ‘14: 11.3” = HE. 1111:1111. 1111 11.1113,- 11115' 111 Elm 11111 11111111111111 1111151115111: 1111: 1'111i11r11111. Hut 1111 1::111ic1' 1111131 111. 1111 1111: 11:11111: 111i11g 11.1111I11 I11:- 111 1211111111111: 1111: 111.1111n 1:51I11:11|111 1111119111111 111- 1:111111'1I1111i1111111 1.1 11111111111: 111'1gi1111l 11111111. .1: = 111' 4111.111: 1111.115 +1111 —111.11]!1111.111+1I11—111.111I 11111.1 11111111111— 111111.311=1-1._1 +1111— 1111117 11 11.1111— 111 — 111.11}1 1111.111 andrliviﬂ! iI hrll-T- I 16 H11III:11 lI'uIl: 1111 11111111u'11r111'11141315- 11111111111 111:1ll11r 1111111111 II'1111r1 11111111I' I I I43; II'II.-. UilILIL'Ju' 1:11 11' 1111111” Ell IIr 111.1111; 11.11LI'111 111111111 11I'111ul11111'.111 1111 111 I1}- 1111: 1'1'111111u1111r2 = 1:111-‘1—111. 1111111111 in 1|1i111:11111: i111111l1r1:11111111'1: 1111:1111211. 111111k. 111 11111.21 1:11:11: LIE i1; 1111: 1'111'1‘1'11111'1": 1111: 11111111111111 dcvimim i11 give-11 I111 1r = 11' [.2IE1 = I .1225. 1 1111111 1111-11111 11111.1 111111 11i1I.11'111.~111. '_1In11 111 1.11111111u1: 1111: 1:111:11 11111111111111 11min- [11] 1111111113.- 111111.111 191-11111. 11'r'1'1r: E'I'J 111' 111111111 11'1'11'1111:1 11.111! IJ'LC 11111111131211 value lim- 11 E351!- Fm-E'E Iﬂlﬂ'ﬂﬁlﬁi il-i LIA-mu. U 1111111: 111111111121'111'1121n111. 111111111 1111111121111 1121111111111 1111:i1 3111:111i11111n j1L~11 a 11111111I'1I11: 11111111.: 1111111. 111111 1111111151u11111 111: 11:11.I 1.111lu1: 11111 11.11 ["1-11I11111'1li11.I J] Ell 11 11d” -|- 1| :1 11.311 14.3. But this: 1:1111'1 I11: right-haw 1:311 1|11: 12111111111111] 1131111: 111' 11 11111111113.I which 1:1111 1111111 111k: values 111' 111 111 1111111: I11: 311 1111.1: 1111 11.1?! T111: “2:131:11: 111 [11:11: lJ'Liﬁ luﬂl Lal1l1: rim-1.11 '1 rrprﬂ'H-II 1r;111'1.11111[11111_1: 11111111111- 11r1r1—1I11‘111111111I'LI11: 111111I111h1'li11'm i1111111lg.I 113'. 11111 I. “'11 11111-11 1111111111- 111! 1.1111 111111-1111- 1'1_1.-11."1'. 'l"11:i11:i11ju:11il1'1:111|11_1. :.g-. Fix = gull. a m] = NIX = Elﬂlnd IX 1_ IUJJ FEE 1'; 211] P11 :11] P111 3 1111 _ 11.4 _ E_ Hnlicmhux 1111: 1111-11: 1.15111 lI11111Ig'11;:1|1'111;11I'1u1 111' = 2111 11111 111' a 2'11} i1 I111! 1111111! a: .1: = 111 T1111 1111111111 1:111111i1'111r1111 1111'11'111111'li1}.I 1.1111111111h11111111m1111d 111111- 11111 P1111111I1i|i1 1:11.11 L111|11[Iul11 I41- 1 1 =1] -—21 -=——~11u.421111. “ R1 5"1' 1 ...
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Midterm 1 Spring 2005 2 - MIDTERM 1 SDLL'TIGIHS{In Tn In a...

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