two_random_variables_scanned

two_random_variables_scanned - Two of more. YanAom...

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Unformatted text preview: Two of more. YanAom Vafiuq‘ahis We;an How +6 dzal. Jail-“fl S\r\g\e, random VC'Afi ol-ales , BW‘E‘ mama Prac}-\C¢9J~ UPf-b\=\w rcqwfire. Moédexa o-F rmm W Phcnamcna. vwabkus , 6.5 using +wco or r'Y‘or‘C. random - \nPud: MCL ovA—Pué- 6-60. Sflsbawx -— CoorAx'nod‘ts 0-9" a 335%. A +wovdvvxensio—OL random Var'wth. maps ‘ow'co~§c—SO‘F anki kam‘b d'o savaged .Poiu's (3:1, 3:2) I Pong; 6C ngfis S, } S = S‘XSZ o-C 52 £51,523: ‘ ~ maPPcfifl {Aslé S: I 32 é 31f I 9 {X|(sl3 I IX2(523} ‘~———\/———\_a (r O? nmehc— on'el-«Acg- T—E ls moi" Sumcicr-A" +0 Cons‘xcixr he; swwa’et axPer'iMznA-s I '15-__ kegsbe Wefme -> x. Lice—ith «96am —* X2 ham m \QSLS \lfW‘F-OrmoJ-tm Obouir (dodn‘onch‘fi \a-cbwm and 47)“be M {‘XZsz) onus Paar-Rub): cMC¥ch3+ ‘H'W— $+a3v i s’h’og . PeISDn “WM m <23- Ho‘\’ rm “3’0 hcurt, CLAMSW or '74 . aflse, ho‘\’ Wk) Hmcq$¢$om maskinj lac E rare +0 Jame. ovuperson M‘1+\'\ «Jae/1%" 0C ancL. tHa"; WSVLS \ZO onmAS’, “I 4.. In Chas L ‘mc‘s +6 Jew: A\s+r;\=~¢m Mm; m” a if? f; "i" 1'" '- :BVA“: PHF_ 15mg [kukzj = Pr({\<.=k."§fl {‘Kz=k2’}> EXaw/‘ek 5 Errors (a a, +xcvdar commWchk-brxg drum-mi, occur in but-.555. OV'Cf—QLL, Pv- CCVEor> = O. ‘2.) Bud" mag/x W c:ch , -+\Ae. probabLLGj @4493 JIM, bak- appra- head lad“ has. er' mf" \S 0-6’ MW.I\’FQAWF dusts hcfi- saw 2% ProLabU—M-j .33: an err-or via -\-Lv<_ MU-Ja‘d- 13 CA . up +0 and mm cHAS K‘ —— +‘o+o.l flmbfir— 0; areas A 'H’uz \S\- 5H— L19 *0 “CA K1 ._. +a-kal humlac" 0-( W6 A +an‘ 2’6 Pr(K‘—_- D n KL=o>= 6.72 “PK‘KL [0 I O] = Pr (Kl = n Kl: Cncg —FLlK—L[O)l] = {ILKLE‘AJ = Pr (Kfi—‘fi GEL-:0: 0.08 FK‘QL(,2_] : Pr (K,=\ n Kz=23=o.12_ 9" ca Om can 56% E S l<‘-=—co klu-eb 'C‘K‘Kz [k\ l kt] : l I i g i 3 Kt and K2 arr. random Vadabms , so wc Con 92d. +He, \>M’Fs R EV.“ and {3K1 [a] . Waa. an: aauzak W ’I I mar-SCAQL— Prizbohu—Wb bras-f Wan—V . ' ‘ ‘ ‘ _ i 1cm [0] g Pr (gzov = Pr(§1nsz§+1>r (Eng) I ; jig i = o :17. —\- o. 08‘ I W f: 0.8 . .. i 'FK = ?r (K| = I) '3 Pr +Pr<E|nEz)‘ ! : | , = o. 81 + 0.0? 1 = 0‘2, 12‘s Fad. 16.4 [a] 2 g w ' 4 [kl] = Z ‘PK. I4; [‘4‘ [h] | § ‘ |<z"“'°"" ‘ 3:. be.» *WH‘L abaud- MS -€L)<(9P<.SS\°«\ in ‘LCKMS 5; My» ? kats‘as M> , gow M\\\ sum—Mode H’us {X?rC-SS\M § \S'vask Q €$fim¥ c—C‘ +L\e' pAnQPk, of +O+CJ Proba‘at‘ubl 1 -¥:‘<z = ‘Pr (KLZ‘OB = Pr (E. ('1 Ea.) = 0.72 I? > i flab] = @041: I} = P.»(E, nEz) +Pr(ElnEp = 0.0840.08 = o,lé, "If if x P .\ .f‘, 3,, H [2] = Pr K; ‘= 23 = Pr (E‘HEZJ = 0 i2. €12 [k1] = 4mm,“ Eh. , kl] 0.12. OJ?- f ‘"' Mendch 0‘? random Vmfiabkos 1 3 ,LkJ Fbr‘ +uao -Q/Uc/L{=u? Mg \‘Amézré‘ Ms , ‘5‘, {‘me ‘ Q99; GOA ‘ g K‘Wam chfiqbw ~ ‘ K‘ m \4; on, Mabemaw x? and Oaks '9? N06; : 414.41 Eh..sz = 4; m «can; 39- +uoo vanaom Vohabks arc. ‘r‘quc .AKAJLPU'IM) 444m J4mer '15 no war we, Con Ed WJDCI-H" PM; From #1.; mfgqu PMFS. ‘sz 0:12 o.\c. o.\2. 0.2 0.519 O-\2_8 0.0% O. 2 0. ML; 0 .032. 0.02% W "Fm [kt] ‘Caz [kt-L FAHEL’k‘] £155, KWLE; 13% “ E ‘w u 3‘9! (u. —‘ GDfiA/‘d’iofi “PMFS . Wham random VMabtcS arc, nofimPendu‘E I jkafl cat-c. co mam:an @31ch on One, Goo-$1421“ chmdaébx; .FK‘W‘EKMQ] 2 Pg (K‘ =\:.. \Kzskz) % ’ = ‘4LKLEakgl fiztn] (\OOY. War—kw +rco d/KQSI‘OLM 4—0 50—2- ‘f—(Jags Maine Straw-k0 :9 cw) . 0.72, 4K; ['1 = o la. cos g=o % 0J6 ! $ 1’ gallkz h} 0.02 k‘ .= I ng _L _ s {2. k‘~o :. a=1 Camper; 4% d¢PunLch o-C 'H'u; PMF .Por. Mo mom Wabbm vaL-n "FE-L 0—anr dg-Fmi—ms o? GOGcLL‘Kona—L, .prbebU—Urn Wt. ngch ,' L Two wants Roma) g Pr (Am/xi) a. Qanalcm VCLAa-‘DLQ onég on wen/5r «cm U: M = Pr- (A3 ’ Fm \ K1 Lk‘u‘a z FKIKZ [k‘ ‘ k1] "' Eaflcs ( M W 'Hfi—L dt-Rw L4\b—x a? 444%, Cord/Wtme PM: 'CK11K.C‘<2“‘\] = ‘FK‘K1EM,E¢] ‘ a [M a flu. W“ “4.991 = RHKLLMHMKZE S‘M cg 'on equcdngq are, N +0 Ha; Joint Pm: 3 ; ‘zl- fi‘c" K1 : £KL(K‘ E I“ i I USA-f5 +w. prime;th of +o+o.\_ Prcbob‘dair: (am “Mas—sgaq PM: } ! ‘FKzELPJ ‘1 Z ‘FK 1(sz ’12] = Z fnzuqi‘éz‘kfigk k‘=-:. ' k‘=.w \ ‘ .g\;“ g 33“?" L . "L. a {5' 1‘ So I «Fm; [mg = flamitkzwjfil [11,7 Z; ‘Fa la. [kzlkl-I‘thkl] z k, =~=-o; (Sagas! MC), Exomnfle, gommuruca-chs :55 +W mm: Uro‘x an Wansm'nsaon mac—W TfiS‘Hffi E53 *‘wc Menu-[acM‘Qr \ncxva gov/1c). +\no& 4-341 numba— 0-? “comma/C» Cakms Wrg l<| 44$ random Qn<L is daswkbbci Mczu— bxs m PdsSoA Y‘Melorw Vokhal-il. " .F [k'] — ’xuk‘ o<k<7oo K I ‘ ‘1’ —— \ ‘ ‘ k“. when; 6L "'15 mmfie. mebo‘ 0:- Qrmrs "rMcU‘f' <3ch \‘a on Pzfiod <31“ -\-\r'nc. t 'H'fis‘i Praass is A wws ) m =. ~29. I A = 6‘1 WCS e‘r Sazmne}. ‘b , > — evades 9d M‘\~ *xr—‘vxc g.- [as N .3, 2 emu—g in c3, ‘05 Pct-\od.) To Wm goat HM. Prole , Mm. Manug-acA-wcr OS ’x-Lu... Corwmm\mk'fms SfiS-k-cm +~Kc$ +0 wank WW 0n "Chror \qaxs oWran . Un¥cr+mo$¢an I *‘Hz. éafiztgflr‘v'an 835*6M ‘5 Gwm K\ avers eccur’ onus k2 °$‘+\nos& (Ar-robs ore, deA-acA-acL. Mmms Show Vac.)- ficKZ‘ KI (k2 \ kl) : ( Pk: (I-P')(i<\-k1.> 4:5, oskzsk‘ CEVDM‘AQL mnéomvmabk I F- Prokx. RDA-n cg daggdH-ficl a stash We“) 'Hfiait msofibcs J-Vus dash-Kme a—f’ \‘r\+<.rvo~\5 bdnuczng i ! 3 E E i i E i i i g i i ! (Ydad‘éd +o +‘LL9- fixfone/vhcpk di$¥fiwcda Fméom J I ‘ i i , Q 5 Y 1 i ; s l 4 (J “ .W in wii'J 1“: Ln: I. .‘ ..,,‘ ‘ .\ A. N, “Y I. How W5 mrs at. dz‘azc.¥e.d.9- % number Oferrors Agkch—ed. A: dawbaabj-kkz. PMF o4, , s-c yon. Y'ach +23 —F\A-‘=\ -r\4e_ random vmabLL 'FK‘KZ I: k Ikz] z "C'th [kd k1] £1, UH] \<z (“Mm é‘Z—‘Fsfiu‘bn a: Cor-da-HQAQE VHF: ) (h) P“ 09“” k7, {<2 [ k 1 f 1 4 i _.x k. I C 6C k\ '. FE: " Mn 1; V M L“: L ' , ffv-{v M ,e' a“? kl! chir-k is a. Poisson random VohabLg. ,ANH’L'n cu. PwaMd-cr 0-; ‘ ngcA‘d Val/qu— o—( q PO‘SSOA ranohyvx vat/Kodak. is «(awed 41> +Lm. 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T RM m; i z 3 ; i I ) i E § A 1 i " Bakch V’U-La fid x2 (11(12) = ‘pfilx. (1-; ‘15 ‘gxl 'sz ( 397.) bud" M be“) "Hfiod’. 1?chan s f fi‘x2c21,xgo\x( = / ‘CXzJX‘ ('Dl-7Jllx {‘59 (1') A1‘ Use, 4 W13! rub. ‘caA hm Lax/civch Lac—6M9 ml. wcaLLfl Jae” +5 “Paw-:3 aéx-k-aRo-x +1: "I‘Ltz, M” “Shams «xv-cf pgch +\M_ PDT-'5 are. ckg-(Qnux. ' ExPcdva-J'x'm w chr‘ eiCU‘QN'O/L- Few We random chr'xablm I agacfi-aJ-ton \n Vobuoo 1L»... PMF 0r PDF I 2 i i i ,4} i A ‘ i (MO/gan Pbp)? l L i I i i V 1 K 5 a l l u I sfscx..xn7s = z 2 399,99 firm: [1‘ -¥:cl “9‘34? Carrh‘fiwovvb E{S(K\I\(z3} zLJ: 8Cx11-’“2\-FX(X2 Ndc, ‘chd‘ M dxxcmx’m» arc, Rn 4u~x§ o4 62" 'RAAQJW‘Oq as.“ +Lw+m0 random Vodcdah‘a , and flan):- +\m<,.¢kf=r.c;\~a,h“on ‘S O; Slrgl; (:93 my . SCXK,3(Z> = X' E ii ,XZBZS its: L:>Cn 'quz (:24 ,DLZB dzzdx, 1-. f '26., ~¥° f“ ‘px. x1 (1. 239.3 C‘S’xzé‘zl \'___________/ +1. (2a.) (5°31 i 9 Elf? 3a.! :3; f‘bDC‘anb chm;l '-‘- v.1 l! E €597} So 94% cLL-(‘h‘x-ko—x Ws‘ cans-1wa mH—La what mecL bah—pen... 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E{X‘}E§§x1} '4' GOV (Kl 7X23' = O (defiamm me¢kémk ha“ 7"}, I hccesS’OJ‘x L3 '\A dog endod‘ . ‘ ,qu l * m . . . . HOWW , Uncorr‘ndol-r Wmdsz Vmak—LM: cut, no} i i - Con&‘x-\"|0r\a_X EXP¢¢*uA-Cm , C Féar we random VmW) ‘ _. m w--.” "WW..- _--_ E {X\ : [a seq gx‘xz C99 (all) Ann! w—d—d /\ .9? X2 = 31,1 E {Xt \‘K27i : f Jr..\ ka‘xz (1' \Y2> dx‘ : /__/ i och-ark +’\'\.a. WKDW‘fij “ave/6' 4‘; av (WdDM va’.‘ “buy ~/ d; raqu ; “nails Ks Mach/'9‘. es-\~k}vxq.\—‘\or\ 4H¢orxj . on; oEma-‘s ; X7- , and «voice; Crud. QsSLArvPL‘QA (156M gxdx,‘ +le 70/1; Can. 1.3%th Wopex-Hgs 0F X. I ‘ 1k; wad-Lek vaL-‘u. - I 1 w— ' :.3 - décal-‘(on 'Hz‘lcorj CXOU'Man, ’Ao‘owYC—‘i’ “'sz Wm . I s’xghQJ_ ‘ X W aggWA. +\‘\ad- pxhrr (at. l 01—) GM E éawxsswm bLgaM-cm. Mt assu-mzak M .3kaus FM ' ‘ ‘ch. no»; . NOVJ , in$+¢a<5 op +Von§M\'\'\‘i«5 One, DC héo decor-min\s’cic Vaki—Qsd I CO, 5,) I we, M» me‘r‘t. a SUSK'KWM no\sfl Vow K‘ The/x , our dacod—u’ hacks +1.:- fiffiiwfiie— X1 base—ck On +Hz, 01::va X; . M arc, momma dixum+ 5 +0 eS-Hmcd'c— X‘ ~ One. Vat: SKme wafl Ks *1: aqme W nr'vmrcxfl 0? +\—uz_. Car-\dvl’v'IDnoJ. dLS-\-Al=v~*fim (Pop) ll-F' b.3<. amnion +5 033% 4L1aj- '1:le2 EXCLMPKL ‘ C11 ‘12 ) = 1 1—2;: xzéx‘S\ MCI—V4. ‘H’V— CaAwle-d-ioxs SKMF\U> _ CO 5.54.139} = ] act 43an (1mg) am. '1 -= / .xt I 61‘ =42 \—'><2 osxzsl 1' \ 2 ' f: i I‘IXZ ,y2 = L ’ ( x- X: '2 I~><Z 2 t 2 :- X2 = ¢ (hug) ‘4‘” o<>gs£ 2. WW +‘m'xs L: Q Caaab‘nhmal 6(me VM. 1+ is 0A$o a MlOfi a? c... vaAabLz. Xt . % C ‘+ X2) is ow 4SHMOJ-p o? +L\¢, 0(me way“, 4? X‘ East—d an ow obsmod-(on a? X; _ 1‘w v . ~ . . A ‘ “:2 Jul. 9:14} 1 55:4“ We. can 4% W; E{E{X1!><277} = n 0‘“ T X “J r‘ 9. 31 IN SMmaLI arm. CaV\ Qfiqw +L\O.A‘ E- { E{ 9(XHX23\XZ = E{S(><l i¥13} in dBOVQ I 6 (X\ ) s: xt So EgEiX\le}}= 55%} l = \ 'z 3 2x, <51: l 0£ j~| 3' ° l l 3 v 3 i i = 2; Wm ch 03m» MAI-R4 § . $ 3 ‘H’xz. fast-14 abovg. Anew What-A 1 i ...
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This note was uploaded on 03/01/2012 for the course EE 101 taught by Professor Munk during the Spring '12 term at Alaska Anch.

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two_random_variables_scanned - Two of more. YanAom...

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