Soln_2

# Soln_2 - EEéoo Homework*2 551mm 732_l Tallow'5 2-2...

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

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 ' ...
View Full Document

• Spring '08
• Staff
• AUB, mac’B ale clth‘o‘m'f‘, fence darn ﬁe, m. ﬁe ales,an, a-F-Huz e-zven'f‘a A.B, EEéoo Homework

{[ snackBarMessage ]}

Ask a homework question - tutors are online