Solution_Set_2

Solution_Set_2 - EXercbes _. lés an: I.”...

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Unformatted text preview: EXercbes _. lés an: I.” y)=_’c_(&,i_ //.k/ «142,430! 7afo 4%) v Z .2 Hm, £9): Lf’y-(x—E‘Y—e‘wx = fian- —:;—)Z, ‘ 4 Then) : 7i“)/_3_\;\);( {ya— X'Uo/X = a; -? wit -:—U/.’,’, = ‘3)” 1%) #- fiyq— 2514+ vfry‘f) = 0 A3. See éack 0‘)“ 797g 7L€X7Lbook 7%r50/M7L/oh. 2'. (d) X=.é 1r] (5) Clearly, N isJeeme'hig wh'h puamd’u I}; 'st’ 500:3. (O) Slim 7;, I" ‘51s 'Iraw/ Corrurungiv‘b '51: choice [8:146:75 ‘PrcoJom, 3+ ‘Fanow: ‘Hm‘ 75:2 nnJ :9 EIRFZ. (4) Sin» M N=h,fl! fiw/ +75": T l I , 4:!2...n-!arteac}7 saw/5, as? +. s. “4;... 3 ., 5/”; .3. ELM‘. do.» Id: In: 4. 4k - ' Add . J 2; me Im )22'; Em: any (51:4 #51, 7,,- SZSiacI 'For #52:", 01-! ~ . 750:: Egg, F/N‘n} = flé'Ta/N-m) + Emma) A. = 4(n-r)+Z = 47"2 a} Eon: sag-5M» = gain-.2) =4HNJ-z x: /0. 23. 3:2 back at 7“: 7‘EX7l‘bm/< firSo/ufim. thA mi 8, mafedfluy. CmJi‘Ham m'Ii-c Jam Jive: EIMJ=E(M/wa4 +E&Mfl-’,J c'meanina w ‘H‘fi «31:01.: 94! 4h. a;m: SUV/'3 = Ema/“Wny +Elfih/WDU—h) = 2;. +(2+E('M.) )(/-.F.) = 2+ ([7,)Em.) A: Em,fl)= 1+ Ema, nad- M EMA >= 6.2+ (17,.) Emu?” + (/+E(w) 0-5,) = l+fn+fn U‘fc)E(/Vn)+(/‘?n’m Sm‘hb: Huaclm +pcl—Pnym.)+a.,,)£wn Mahtn an— EN.) = n7.- +Oar/W793“)+{/.,,>a.,.)£(~,) 1‘ f :+ (l-—f.W—p.)}{E(A/p)-E{N,)} : 9.” Had) P.>Pn)+h¢n EfM)-E(Alg)<0:p is r . 26.Ld‘NganJdiud-#cm~f ml; M wk 9 W I (“F A 3 37. De‘pine a ranalom Variable. Y Such 'H'Ia+ Y= 2 he 5 [5:3 Since. each is actual» 41; JD ‘H‘ae We)ka FY90 =:§"-FMX:I,2/3. men) We 'nu‘l‘: N Poisson (2:14) xiv: 2r» F0850» (2 =3) x/v-a ~ 39.35.” Cad-4) 3 an —rhus, E0<)= igecxlvm = 3L(2é+3+3.4-)= 31a? 6.32 0,) Also, E(X‘) = iiEzXlYgz) =-3‘-(7.3¢+12+14.7e)= ‘3'? (a! ' Hence) \Mx): Bore—Ema: 3:32— 7:- 2;—§-@ 3.107 40. m 547'): Page; 1}E(T/c/carn +PZJWZ)E(T/¢£02) +kmfidT/Jw3) - 0.5(Z+E(1))+0.363+E<T)) +0160) = /+ 0.5500 +a9+ 0.3577) = /. 7 #28517“) The.) a-rJ-—- flit—=95 av; (b) Etn— P(J9a'1)ECT/a‘aw/) +%2)E(T/$.r2) +/fl«3)EiT/st> = ’14 (Z+E£T,))+ '/3(3+E(7;))+ V3 (0) = %+ ’/.z EC7;)+ l+ Vat-(7,) = 5/34- y3'5(7;)+- M35173 New, E<7;>= aSECW/daor-z)+o.sE(7/Joor3) —- 0.5 (3 +E(7;,_)) +0.5(o) = /.5’ + 0.5517,) = 1,5 “50‘ sag) = 05 ecu/door!) +0.5 Era/Jaw) = a: (2+gqu) + 0.5a) ' g -0 Tm, ems-fig + 56 (1.5) + 93(2)= 2.5 out” on For rad- cw, -ECT‘)=O.5 EU‘iAwI) +0.5 517%.,2) +a256r'flw3) "asmwam +Em)+0-BC'7+(-ECT)+ Em) - ' +0160) =Z+ZECr)+05 Ea“) +2.7+uam+asea9 =_ 4.7 +33 Em +— 0.8ECT‘) 2- 9-7 +3.8 (1.9) + 0.: ET“) =V 40-8 +0350“) Then, aw: fl - 2011- 0.1 So 5 Vadfl- EZTz)-— (Em) "-—204—(9.5)‘=— / 75 . 40. (c) Far- far+ (b), E(T‘)==,’é (9+95c7,)+£c7,*))+ 95 ( 7+4 Et7;)+E(}i‘)) + }é (a) = 1; +é£(%)+za)+gr Ear/1) + 3‘50?) = éh— éEC‘W-P i517?) ' Mm E(7;")-= 0.5(77‘4ggénagl) +a'5lo) =0 :0 =“23' Also, EC“) -= 0.5(4-4— 451504—5023) 4125(0) ‘ __ L2?“ I =0 1am, ECT‘)= 65+ 11+§= /o.5. so, va-rc-r)=g(fl—(ecv)}‘= lo.5—(z.-5)"=4.Z5. 4'7- See [Mck me 7%: 7Q»— so/u7L/bn. 57. De‘Fine ‘Hwe anom variable X 4? In +112. number o‘ps‘I‘arms. Them) PC X23) = I— FCst) = I—Josr’szz A=2>é—A2 F015;” C. = 1—3122 W“) 3’42 x30 x' : — ££5C€2+2€2+ é‘zC—Qk/Q =I-é‘CI—e‘s>-:sl(/-—ée_5)-7;T[Z—37e_5) = f + %c‘52 0.434% 62' Le‘f‘ A Jeni/Le {he even{ Ha'f Payer/4 ['5 PM): Pmmm/w + F(L,)P64/L,) = 3.1; PfA/M)+ ELF/A/Lfl fie Ol/ef’d‘g? Wiring); 9“ :- win on ligame L. = [75¢ on [fljame 41.1,, F(A/w,)= firm/Mug) + %FKA/W,L¢) = 14(04- éé-ZLP/A/mLz Cw;'.u)4-2Lf/A “74,,C/m} =0 = 2" + 7} I’M/Mtg, mm) = 2"” 1" figlLPa/“flz; C/"fl; %)*2Lm/i'flzgc"'5 L4); = 3M g—PKA/w, Abe/m” W) = g-+ 7} Pei/m) (£6) POI/L) = 2+ P/A/LU thu) 4-2ng a z—g-flm/L” cm, Mg J+éWy§ : whfisjl/lé) Ea = 2,? Fax/m} mm) (Ivy?) = K F’!A{w,)= -§~xz’ “57¢- A L50 -——~) From ('15)) Th”) PM): i—(%)+ ~zL(%r)(%) 1-. 68. (a) 1}) every ma'fah pin/var I [A]: ti») We '5 4M}- 59!: bur—numbed an. =9 54.. ffdl‘rz’l‘? a‘F Miami. I i J an)! on?!" rm . 171mg", may» / wim- mmmdfimnwt win: n mdbhcs) =19" @ 63. (L) If = PCB/d/er 2 win: flurnamav‘l“). @ 72—2") I?) Wins) = F(/dn¢/Z medLin mum/ /)f(Zwins//am/ Z met/fin rounJ I) + ID(/ ans/Z alon’vLInen‘l in NUflJ/)F(Zwins/ /anJZ a/on’7L/neaL ih rouno/ ’) ._ I "" 20—2 . / - — Zn_l + Z”_/ r(2wmsl I dle d0H+ M¢e+mrounu> H0 waver, Wins, lam] Z Jon/4' mee+ in Fall/1a, wins in rounJ I)F(Zw}nsl!anJ2Joh4meg+ in roam/l) I win: in roam! /) [[056 in F0UnJ/)F(Zwih5//ahJZa/ul7z m‘l‘ inrouml I [052.5 in roam/l) = l0 [3—, +(/—F)f" M, Fn= (“1’144— [—2 [[22 BI—|+(l—r)Fn] 2. 23—! n—I n—c n-I Z = 0—) [1+2 (2 _/)]+ 262” —I)E F- 2 —I Z —/ '1 ‘ 1094 n=Z,3}... S+ar+in§ F01n+: F, =]_F may: '. P2: = CI—EVE(I+~’-IE) 3 G = [/—€)el['7/+ZE(3)J+ 2(3/3g’. (#9330112) 0—) 20+? +8 2) f 7 Carrying Oh indud‘ivd j we olo+ahn F/N/TF ,7 GEOMF‘IE/c F __ (/_:)En—I /+ 552/55 [’1 znvl ' ...
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This note was uploaded on 07/12/2010 for the course STAT 333 taught by Professor Chisholm during the Fall '08 term at Waterloo.

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Solution_Set_2 - EXercbes _. lés an: I.”...

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