Soln_2 - EEéoo Homework *2 551mm; 732/) _l: Tallow/('5...

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Unformatted text preview: EEéoo Homework *2 551mm; 732/) _l: Tallow/('5 2-2: A=E2,5.7, 73 =E3,63,i=7k=('°°2*“)- AUB = E2,5]u[3,6] = [2,47 Ants = E1,5]n£3,e]= [3,5] mum/MW) = £2,630???) = [2,ejn((—ao,a)u(s,oo)) =([2:4M0w,3>)U([2,6Jn(5w)) = [Z,‘3)U(5,6] _2_._._ Pa'aoucfc's 2-”3: 1F A/le—‘qs ‘4'? A mac’B ale clth‘o‘m'f‘ 7km ACE ==~y P(A)5P(I§). ".12. IF ACEJTAen ‘7§= AU( J R» => Pc§>= P(AU(E/Ié)) 5" — a-u. finE) 1' O!“ ‘ P(A)+P(En5) “J 5m“ PUZM§730 #9 P(A)sPc§>, 3. ’queqltk 2"”: (a) A=(AnB)U(A/IE) and B= (Ammumns) '\ 7' $165K+ c't‘gjom“ Now 340944 “fluff P(A)= P(f3) =P(ANB),okf fll/ows fkud‘ Pun: P(A/)B)+P(A/H§) => PMYI§)=0 P16) = Pmmw Nina) => 770mg) :0 «NJ GIL o/‘sjoiwd, We have ‘PanEJUM'an: P(An[3‘)+P(EnB) ‘ 0 +0 '—" O Hwk.#2_ sold/Ms 7°”- (‘3 — (047LMK€(£) (b3 1% PM): P(153=I Jade»? :4- mus+ also (,9. 14¢ case 4Lq+ P(A013)= I ) Sl'vlce Acts => PM) SPfAvB) , 6.4% P0401335! S'o beceasa 1 = PM”) = P(A)+P(e)-prA/m) = 2—P(An13) —_—,=: I = 2~PIMB) 7%: PrA/us)=I. i Paroulfs 2‘5: We know-f thfl‘ Jar any 'fulo ellflflé E and F, 'PCEur)=PcE)+P(F)—P(EAF) 7hocs we have. Paws“) = P(A UCBUCJ) = 190434in await/Maud) ‘-‘ PfA)+F(B)+P(C)—P(Isnc) — PHAnmutAna) = mmwranmm - PUmc) mam—Poms) -{-P(AnenAnc)) = PUHWBNHC) *PMIIB)‘P{A/IC) “PMS/IQ 3 \ + WM 13M.) . 751.5 Cram 1m jeuelnéiec/ («o/KC/O'd‘fl 90 PM‘UAzU-nuAn): P(A,)+P(A,_)+ "07‘ PM») -P(A.nA2)-P(A,nA3)----— NAM/1A,.) + P(A,nA,_nA3)+.-.+P(A 0A 0A..) . n‘z. "‘ ‘ l I I i : P(A,flA1n ...nAn]. Homework #2. Sa/ufta'us 19.3 i; Falcon/(:5 2—63 7A'FIE ('5 "6+ MMCA 7‘0 flat/Q. EU?! éuevfia :25 an e/emeu'F 0F #56‘ fund" Space.) «no, fence darn fie “Inf/(‘1 “S a Coau’é-éé “M264 affi’ée QéWM‘A” éuenfs ESLZfLLHUanLHH 711:4: all 5419:2425 cal/,3 q/e {mung con¥«¢'«¢c/ air -f{< {Véw’sz‘tCe - é; ’PaFou/té 2—1: We (ans-Irma! vée 5Ma//£$+ Jib/cl by It's-hid? all (Anions , Iq-Fe/sed’zénsl anal. Complemen+5 of Véese— 91-6991!” {5 arm/+42 e/emvufi‘ “I'M‘f‘ 7/1256 Ofelq'l'ténséfjfueladle . («9f Course ¢ (1141 .8. are I}: fiée fi‘e ifiulsflfi in}: :35 {2,15% /7§I3 21,43 Gwen will}; {41 3 = “EULEQflSD = { (fi’ 2'31 E"’3)§l)"l31 i133: {'12)33; {2:31'43 Zhlflfifi} :. Taroullzs 2"? -' _— IF ACE , PM): 74 and P(8)= 73,1Men A = (Ants) P( --——"—'P = ._——-——-P(A\ : 1/1 :2 9 because. FIB) mm 73 "-I Mng {53 Ace.- PUMA}: P(BflA) = (A) -- L—I Pm) PM) £5606 Hulk. #2. Sé{u*£0\l/LS :9: Payne/(5 2*?1 P(All3nc)P{B[C)= Puma/1a) P(Bnc) Franc) P(c) 79.4 = P(AflB/)C) PR) 2 PlAnBIC) 0?. :B =(An13mmnm, mi (AAB)n(InB)—:¢. "Thus A116 “at A'ne an a pw‘fv‘w‘w 0% B. so _ .. 79(13): FHA/lawman) = PMnB)+P(Anl3)!*-’ FMI‘M*”M°"2, P(§) = /- P(A). 7hus we Aqua Paine) -P(§)P(B) -—— PcB)—P(Am3) - [I-PWJPCB) w W PffiflB) from *) PCRW = "PLEA - PDQ/HS) -P(B)+P1A)Pa3] P(A)P(B)—P(AAB) II P(AnB)—P(A)P(B)= Pciwcm—Wfine) (1) similarly, 19mm?) = mm- PMnB) anJ P(E)=l-P(B) Thus we have. pmflg)- p(,q)p{§)= P(A)»P(nnas)-[:—P(6)JP(AI = Pm —~ pmne)—P(M+PMWB) = PIMPmJ—PMABB pmnm—PMWOB): P(AJP(§)-I9[An§) (7.) 71m {rm (1) we! (2) , M kg m. fie ales,an rfiulfl P(A)P(e)-P(AAB)= P[EflB)-P(A—1P(B)= F’Mné')~ WNWE). EEG co Hwk 1’2 Solan‘tBnS 10. (a) 147‘ /-€as+ one oF~Hte evcwls A,B,C OCCul‘S kuBucl (b) 4'} most eke an;th édP-rl's A, B, C OCCHIS‘, (AnfinEw(AnEnEJUManENGnEnc) (C) None a-F-Huz e-zven'f‘a A.B,¢ Occuls AUBUC :r ENE/la" (J) All a": flue. cued: occur (2) Lara“, One of +113 flew/'3' A , occurs B,C 1(Anén6)u(§n3n5)u(§n§nc)l (I) A mac! 3 occur) loaf no4 C. A0805 '-"- Ana—C. (3\ A accents.J [I moi-+494 '3 does no'lL occur ei‘flu". “P. S EEGDO Homework #2 50 (ufr'oots P 6 '1. 7,19 Sawffé. SruCE LS _.__—. ,3: Z (HHHJ, (“Inga-m), (HTT)) (THH)J(THT)’(TTH), and} (a) A = {(HHT)’(HTH)’ (THAI); 13 =3£HHT),(HTH), (TH/NJ (HHI—H} c = {IT/414), c 7H7”), (Tr/H} (b) H) ZOE: {filial/4)} : excuflI/I/ Three Ilene/.5 cecal“ (ii) EOE-=- AUB = B (berause AcB): = 30477"), (Trr)J c-rrH), (THT)‘3: a4 [ea-.54— fouo +4215 occur. (iii) AnC -'= ZC’T’HH)Z: q 412/: occur: on +4.3 416+ 4°55) Que/+4814 +48 Sécantlautll+é“' J “Masses are by“. heals ' ...
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