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Midterm 2 Spring 2006

Midterm 2 Spring 2006 - EEGDND h'flD'IEHlt-L MfiTI-I BIB...

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Unformatted text preview: EEGDND h'flD'IEHlt-L MfiTI-I BIB APRJL 'l", m Prnblem 1. (I525) An mute theater} neenhhty pmj‘it jinn-t. the euie n-J' newtsnermttyfletnhntetun‘hthmnfm andeflhndnrddetri- et-inn n-fflflll. em; hermhnthty mate-e rare ”dependent thinnghnut the year, firm: the me and meat-e de'lrihtien 11er annual pen-fit. Set-Mime lfIh.-.,Indenntethe-eale-1finr the neentlutJammt-y through December, and I denote-1 the mutual HelenI then X=IL+---+Xfl. Therefore E{Ii=12 e em}: 12 x taunt: =nmm, ex - efi rec-rug - vfix 34331::- 1mm. (Remember. the infltnwtinm me that err-men: me to be given he he drain-ml phmJ El Problem 5| {M}. 51mm that h. tweet-at eaten-meat it f'l.|.'l'l_ with 31:24 Mandeprnhthflflfi efmeeenfp=l11 l’n-m'rnmiltenr if Idmnteehfiennmherhfmmme,fitdfififixgflfll. I’ll-Hartline thhtthmuufle. {e} Carma-rate thie pmlmhih'ty eaten the table efhinnndal [mutabil- ltiee. meme: at the heel: of the errant. Den‘t forget the-e are hnflvldnaJ pmhaldlitles, Pu[.lt' = 1:}, net mnmlative PH" 5 HI! [h} Euth'mte thiepminhth'ty taking the hen-met Wmfieh tn the Helm-tint, wltlient the mntiuniur mfiettihe [1:]- Elte'mte thirrpmlnhtfity when the hermit Wmfinh In the himm-idL “Hing the ennt-innity m Sea-lathe. In Figin-e l wehew the harehart hi the prelmhihtee ftfl' I = IE, I = E, I = T, and J." = 5, together wlth the normal dJHtlih-ntlnn {the thick eun-efll having the mme mean and etanflartl dee‘latinn. Ftuunn 1. Elmmiel preheldlitlee fer u = 2-1, 1:: = I13 (.5 5 F: -=_: E}, wlth net'nml untrue whet-imputed- {a} Lneting at the p = 0.3 enlnnn'u nfTahle 11 we find HI = 5} = 0-] 1W3 HI = a} = mean HI = 'I'} = Ill $03.!”th = 31 = meme Adding theae renllta '11 Fill: E X 5 3] = [LEI [3353. Thin anewer in etaet [to five deeirnahj- {h} We entnpnte 1:: Ftp-=21 3-: [13:12 41': M: W=eeuge [It in only «am fianI emu-Ir: whitflI raw-rt he rounded to tile rleeimnlri. Meanwhile. we keep all the Freda-Gian we mm} New we enmpltte, mitheut the mfllh‘ll'litj' entreetinn, Pttgxgm-Pt-eegit-metre; =P( 1 {EX—12‘: 13.3} 2.24499 - 2.24499 - 2.24499 = PHD-EM S ESE-351343] -P[ngzgu.mnj+etngzgeem1 . 13.131921 + neat-1n - 0.4mm: Thin ealeiflatien le. elm-ct, and in. eempnted Hating h-Lithenmtlee [jun-n ennlrl alee :nmtmte it tuning a enlenlater with etatietieal fllnetiohej- [.wa tin-1t round to two deehnala and nae the tfihlfli [the procedure recommended [or me}, you Imould get = Ptfl E E‘Eflfifi] +P{El|‘3' 3' 5 {LEE} = meme + III—335% = memo Thia woe aeeeptahle- Th'hi udeulatioh firat ronhtie DEE-5343 to 0.35., doe-1 the tahle look-up: rounfle EILEITEIEIEE to H.133, fioea the table lookup'. and adflat Aimihg for ettra menu-any 1a a waate of time here: whether you get 0.17555? or ll-t'iTEIE, the anawer in Inlaerahly I'ar from the true aoewer [LfllEEIE ol' part {a}. The etqtulnnation ii :in Figure 1: we‘re computing the greg- Hreo. Hri- ao approximation to the red area [if wl're aeohtg thia L11 color]. and it's just not 1.I'erg' aomrate. FIGURE 2. The Hm unflecr nonnoJ curve [yr-w} millil- mtt ooothtlu'ty correction it not a very good H-[IIH'EE'Ei- motion to themoftho red ham. [e] Witt: the eontimlitgoon'eetioo. thiogeare roneh hotter: wooin- put: Pt55158+=fideexsfl~5+ . 111-25”; Jr- 1251.3] — .2 =H—1meeeg: I'r enemies] = pm 5 z 5 meme] + Pm 5 z 5 esteem = tween + florets = [:LfiflIl l3. Thin computed uaing the hill flee-decimal plaoe mm; the erude aha-o'er le = pm 5 25 Leo] +1105 2 5 Mali = nestee+neleo1 = emaer. The picture minted with the. oaleldntioo Ming the oooti- nuit},I oot‘reetion le. shown in Figure 3- D.l'.|1. [I- l“: III.I.25 o.: DAT”. III-El“.- ELIE“.- [I 'i l:- T 3 FIGURE 3. The area hunter the normal etu'u'e [grayj with the oontdmlitg oomeetioh—ie, extending an extra 13.5 unlt to the left. and to the right—la a very good agnroximtjon totheareaofthe red hare. Note thetthe'rarianee H-211 no.3}: fl.T-5.IZH in harer over the mle—ol—Lhunm value offi- whieh in reeomrheotletl hefore naing the normal apprmjmation to the binomial. El Problem 3 (15%]. The weight of "JD-pmd" Frog! qfeernen-t ore oe- amnod to he nomtnlhr Itr'otnitlutot. A amp-[e of“) huge ta mnltnrntg eheaen. wet it I21 found: that the rmemge might fie CHILD! prmnlte with o amounts alt-eminen- drool-mien ofa I112 men-iv. Fwtneitrgtefind the 55% ermfirtmm minim-i for the two mom #- {a} Which fire-Mitt!” dean-mm are you going to- uee: 2' or t? [h} M the Elfi'fi. oonfidmee intendfiw the true room it. SEEN-tit"?- {a} Une the tethtflhution. The key- wonh to- Lell you thle. are “enm- pie" atandard :fiatrilmtlon, and e = 11.2. {Lt'jlon were going to uae 3, Le. the normal, you‘d e‘meet to refer to "r!" and "atan— darn dEfiMltIl'l"-} {h} We need the mitetf in“; for Q degreea eE‘ Ereeflem: Leaking it up in the Hem-e1 we find ting-2h l 1535'}. Th: mnflrllmm intmrnl is givm lily — .1 I a: u— 30.1]: m l.e.I 13.2 EMMA: 2.113511 3-: 3.1% = infill-1 1 0.169314. This could herep-ertefl eithermi EmmiflJi'. eras; [4935“.5fl21]. El Problem -I {lfi'fiflh A “EH-n: I'll-It ." Hf Bimflnh Mhtnfly '||'|'|F!:IE-'l in .i'l-rirm mun-11.- fluid new it mlm'nrr: the amaze-1m are nun-neith- dim Initiated with a mem ef 21113 final-1 flimr’i'l and a standard rteu'drinu njflfl fluid dunes-J. {up Find the pmM-iem that r: mmfinflrdhdsm Mule 41:} Empuflnid weigh mere flint: El fluid aural-nu. [11f Find the HELP: jumble of the mini-mm e-f tutti-M afflur’pflflfllfl; a'.e._. find the mine wl .m- EheJ! 9.5% nj' the Mule-i: ee-nlm'n m fluid {mm or few. Sail-+501:— X— .1 {a} We have 3 = # 1e thermally dietrlhuted, am we are mitts-l I'm FLT 3 1‘1]- ‘I'IE find Fur 2; 2]} = Fur — 90.13 :3- 1131'] x - 10.13 . p (—0.3 = PIE 2“: LEIIEI'i'Ej. Using FILE 2 LEE} RE the rmmrletl—efl mine lfifillltfi i.11 FILE 2 1.09] = 0.5- - 0.36211 = 0.13m. Thin. mfll‘ul‘IH-flfl te- twe deelJIml [Amen an. 0.1-1- 2 LEIE'i'E) [hp We need the mm. at gum = 1.5119 [uhtnh'red from “IE lent line of the t—thle at the had: at the heel-c: 1.645 in define eue-ughfll. 3mm My 30.09: e mm. m: were: want-ityfl {Eur “1.! “95th peremLIJe“,el1Jy E'E-ef the mainte the right: net 2.5%.: Tlu! flEedI'Bfl 'ImhlE- in theme- 2113+ LEI-HQ :t llfl = 21.4459 fluid winners. That in. PM“ 5 21.4.4591 - Fiji - 20.135 1.3159: = fiw 5 teams) I15 = fl.9i'r. El Problem I. {1593'} A mtm‘n type a; fight truth has e. um brightnem ej' TEE turn-um; but Wee turf-ex flan-a. imtl'r fie butt. and the etdndqmt dmridta'ma. it er = 51] inmates. .1 mun-after tluyw M3 in junta-um e)" E5; mane the brightneaaee are mew-dent met math utilitrihfitnt. {a} Wmmemeflnflndetundmmmtmnflfleavemge High-l- ine-m nfd We efflfi built-e? [hj III-Mi Hie mMHtfly the: the mange hnlghtnem raj" 2‘5 innit-e in HE tun-um er more? Set-I'm {at The avenge hriglmuem in. given by —_ XL+X2+"'+X1L H‘T (L11 Inmate—whatever them! are), Pu'u‘l minute the I; are IJ'IdIEI'I-HI- fleet, Em] I H - TED humans. i_5fl' aft—WE {If = = "J IIL'IIIIEIE'I- {h} We me theme figure» in [men |:l1-:I- We are eating fee Hie-T45] = PEI—mil a —e} T—T‘fl] _ Ft 113 :_= 41;.) = me :_= 415} =%+F{fl§25fl.fi} = 13.5 +fl.lE|-1-lfi-2 I [Ififllllfl-i. Se nhmut 39% Inf the magma 1II'J'II have an average hightnm elf 1'45 lumen-c DI' mere. El Prablemfiflflfilj. EahyEemhieem-miymr,endyaflmmfieete film il'JIe meme WW mrflme within in mg M flue ESE. mafia-rm: Lewet All: 3m: new arm: EWBnum i5- me Me 9mm deviation ef the Minnie when: in ct - ll] Mia-rim. Hem mama mndy here .efimld yea: amide eel whim-e the him-mes? Eel-mam. le‘re told the wane el rr: this mean". we‘re mlmllng yen knew the thm'lnrd deviation, uni: the wen-spite “tandem deflation. [An- other hlnL: we said "Maurine-fl flewintlen", net "mn‘tple Hmdmwl deut— fitm".} The general Fennnln for 11 is IrhidI :irI- ehI-mn' erl ha- wiring zen” _ :I: VIE — :EE'. Here we Imve Renee: l-‘EIEE. r-r=1|L Inn-fl E'=?'. thm the Hun-met i-i 1 I: = (w) = Hint Since :1 must he an integen we ehmllfl sample r: = 3'? emrly ham-i. El ...
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