26_20110316prelim_wed_stats_86728_p11

26_20110316prelim_wed_stats_86728_p11 - 9 i 5mm — 862825...

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Unformatted text preview: 9 i 5mm? .. . — 862825 1:23]. Wed-63.! J! @ ‘ [E “"31““! _' .28 Ver n ’5 a 5’6 -- in 3418f a. subsef of £796 amp/e quc n If A and B represenf' kvenf's and S represem‘s the .52sz space.) than A93 (Al's aSubsef Mrs) and {3-6—5 (Bl/fl I: I! (I). ' I 5 Th' “ f” d'trt'éles e 55m 1e 9 ace MED éayglg'eorehicd mébn$~sfme :9 WU! V8513 ’38 EMFT J dependma upon the parhcmfdr problem 413‘ hand. f7 3“” 6% I '4' 38,38 ‘38 “"5148: A . '/' :' : = " -n _‘ a [21 Ear examglg SUFfOSC Had my “experi‘me'd'” (s .1 [6“ a . air l2-5Idfl9 ch'c once. El Then) cLu'nLe namrallfl) ‘Hae samgfe sgace g, ,3 S=fIJ 2,3) '55) 6)?) 8,9) {q 15 I2} (El {and since onlxj 1 all was (mowed) mTREE 1's, requui-edi& Fuaner, suypase flaai eve-4+ A {'5 “I roll cm colel number,” 8Y1: have deswibed fiais eveyd: VEKBALLY. NW 1 was? res+a+e HL maffiemahéaflg) 412“, 5'3; mbéli‘ca/Ig I? A:- {gzsfijej n} Ami 501752059. B 1‘3 +919. evewE “I roll a. number greahr {91am '5, ” M' B=i6;7,8,9, 10J11)12} El In this case) my \Ienn Diagram will (ask We ’ch'rs'. 5 So we, 5311 Mt the. INTERSECTION of A and (5 1'5 the 5:1" of elements {(493 have. 1N coMmoNJ Le, {he numbers m regl‘on 1C . Tine symbol fer Mersec’n‘on is n . So AflB“ {4’8”}. N0“: AnB is ono an EVENT. Anal Fang): P(Aand B) = P({1,9,u}) zTE—é-fi'f—soaa (6’5 WWW-m W996 are guit‘b’ wags cf sigma 3 3 98m MCI: W Y Lfiababw SW3 PCEQE‘SB - Wt. I d + {I Hg, it), 5“) (Pafj care but ‘er mg m“! B 2- L b" 0'25 use CL chm (raHO) era. PTA > 4 fradfofldecfmaffiacfibn) ..— But I mus“? cauif‘oh 3°“. M if 95th ULSC r1 mHo—f‘mdmm H’ / musn‘ be (”Wed +0 (@851? 45mg, (714:; is easy 1‘0 do ijour calcufm‘o , [:63] Fufikcv‘womj We say and -Une, UNION of A and BJ deno+ed Awe . . . 3 ('5 {he sei- 5+ all elemevfi's Much are m A ar In 8 Car“ in be? . ‘TIQUS AU 8:; bias.) 739.:112 6) 8) 10/12? We 9m_u°o__n corres‘pomds +5 ‘H’ae word “‘ (513",r Thus.J PM or B) = WADE}: 1.1%,.- Eé- we: 0-833 or snfiplg ..... .. (E However; 0W?“ we do» m4: have ‘HM: luxvnj 0F {naming a. Venn Diagram Mm a.” 4 regions Specified. us we need some 60H- OF firmula‘ for fhc “GR”. P(A are) =- PCA)+ P(B)_- PO40“ g) [41‘ gofg , NM does this fimmla. have flue “..r {’(Aafid 33 N m i I ? ‘ Angular: In our exampie PCA): ...léia—ij and P(B>=%:‘12‘_ J so if we $19.:le added PCA)+ [3(8) we wwtd ‘3‘?" [‘0' 801' fin dome; so we would have Coumi'cd 646“?)9flfflifi—ES w m. 2"?“ a: 45," :/: #2241 z . ’i/ 77/ i3 f because "7,111” occur 13»: bofi A mac! 8, so {f wwe csumfed .' 1L 13mmJ we have +0 Suberd' :1- once -h> gee! Me (511+ CEWSWer‘. ._ ”64) 10(3)... ME) P(A 0(5) "’ 7(5) + “(5) _r)(5’) A'.e.l P(A or B) = PCA>+ PCB) —- WA 41443)] N°w.i“ (6M1 Sohewhm‘ swath! case {hi A and 5 have, M on) 32.2. Afl3=¢J fie. Adi/1d B are alflbmi 06:9“ PCA and g) = OJ 5.; PTA or B) = PCA)+ PCB). [£1 N37} (6‘45 {00k a+ a. REPEATED experrhaen‘l‘ car a. GéMPOUMD experiment . [a HEV‘C’S an Example .' PM? a Cain (fiir could) THEN roll a. (fair) 6-5laed die. [3 s -_— $911,142, H3, H4) HS) HG) T1JTZJT5JT4JTSJT6} [a A '(Tee {‘5 appropriak-I here. ; (m 2 (52.) 3 ifi) - -4 6/4) .H (-9 5 cm (a £92) gum—4......“ . . 5hr? @fim m; J %) _ 3 (Va) 4‘ £54) 51% L5!) EM :1 can ask a {a} of very tbfereshhg iccsh'ous: Who} is the probabiliflj maflfl... I? @ Flip a. fiend aud m” a. 3 ? Flip A. 1’3?! and roll an even number? @ my a number greahr film: 2 7 (Regardless <3? “3'9 PM”) [:4] “swans —-~ Were are +wa wags +0 “see” this, @ 12‘ EVEFHM'?‘ is “fair” them each 0013:: 8 Es“ u' robable.’ There are (32 oufiomgs C gig. nfs)=m j": 50,...93'0'3’: cow-F Cola your fingers) if you wéh). to) PM; = 7'7”. (b) P( TZJT‘bTé) = 73; = "’2; ll Ce 7 P( H3,1—H, HEJHészJT‘lJ 1-5;“) __. 71% (7’ t Awkward ’16?lean me 3+ maw W wa—“Vq (-1. .2. 3 ® Now I’ve gone back and (:s'kd fine Pababu‘lihé—S on each branch a? the tree --- seam New 6) 3e} '54:: Pmbabilhtfl of! any event-jou check Hm branches final“ an: “mhners ” Far 11-h: event; Mali-1M5 «Iona each branch) and add the branch +°+a’5. For examPlc "(0 .10 {ml Complemem‘ary Pnbabilfl'ies ..... An ExamPle (/33 (Similar to Exampie 42 p, 22;) Surpass we have. a. QO—qyeshbn true—false (“r/F) ' we; I I 5th: I uess rand I «1" all flit . cg'mswersf Nha‘f’s Ptge flcweareazifi 3;:robabilifl; ML gei: [E 0:1!3 {ht fi'm‘ problem ”rigkf ” (I?) and the afier 19 “wrong" Cw) 3’ 4:4,. I? wwwwwwwwwww wwwwwwww Answer: Fifisf we Gav: {a 93““ the carduial Plumber cf 5‘J the sofufién space. There are 2“ 085193“ 00% 2 Fassible chain-s for each answer) thereé‘m, flare are 232x...3 2 =' 22$}3 1 O48 5526 possibfe‘zuhomesf c'. e. 11(5): M48 5515 and if? A, ('5 HI: “evem‘fl’ fl‘Mas. I? 4!! Me resa‘ w time [a All '20 wrong ? km; W‘ 77"“ '3 “5° My 1 W43 I ‘6" 3% «(I Wm We” .. .. . i i F STAfl-T EBB: Condiitbna! Erobabin“! 3, What’s {he PrblaaLEM'! 0-? A! Gw'e» B 1-7 (2.254)- . Def? 3 If you. want the prababilhtj a; event/4 AND i? you have 94:3 infirma’rm eta-3+ eVen‘f B MESS alreadg 0560de H115 is called "-51: pmbqbi/ify <3}? AJ adieu B,” 11- {'5 wriHen POMS) , and if» ,‘5 defin’ed b fine armula, . . P A’MWIB B. = W i E W > PCB) , ...
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