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36_20110408fri_mgf1106_86367_p11

36_20110408fri_mgf1106_86367_p11 - HEFMSHEMGF'WMW EC ¥ 3[E...

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Unformatted text preview: HEFMSHEMGF'WMW EC ¥ 3% . [E 31M: Eundqmeneods o£ PaMbilil-g £3.62?) (gfijié‘cfives) E] W [I] A Probabfli’ry «‘5 a. number {n 816 “closed uniHmlerva. £0,121 W O 4 or (b) dacg‘mal figcflans. E.) g ND+ 45 percenjlflges (%), gr example) WE 5‘10," @343 E\ “The PV’ObabilnLj of min 1&0de ,3 3°25.” We shafif say,“fle probabififj 0? rain today 13 0-30.” ,3 called me SAMPLE. 519A 5.; s={mT}fi The. saunple space fir naming a single. die 5 S‘{1J2J3;4J516}a 1’s ‘ 5" {0‘39 ‘3‘“? act) <2.th fica, tac} [5] Ah QENT is a; gubsef as? the .351me space. For Ihs+ance if E “Iran a number m’r grader 'Haau4.” a3 “€Ui- mlble” 4 9 m‘gv [If F“, ' In 1911‘s class Wc’fl express Probabififiés a; (a) reduced £4chth E} We use «we Ward “Exgerriuent ” Very {609813 in pmbabiliE’g meaty. For inflame) Predicflng rain 'wdag is An experthenf. Anofier experimen’r :3 “flip a; fair aim,” or “an a. die.” E A @WW‘L‘E‘) it‘i’flfis Of all osstble OUTCOMES) 0,0 an expenirraen For (Enhance, fht sample syace) sJ 9r 9;”).an a com 13: ”Hie Sample, space for arranjc‘ng 61c Eel-Ears a? fine umd“ca+" (‘33?de 1'“ wards), I can re-exprPss flat event in maHx mm‘a’rlb- LEI [2:99 cg jbgorehhal fiobabilifi 0E an eveui' E gggjer ‘54.? So J if E: {1; 3; 5/4? :h the experiment “roll a. die,” and 1:; the EZPenmeui £5 fair (611.6 is In; “loaded"~ eqyifambable PCg)=flfi(Z%—=-g—=% ,ze.lP(e)=—§-fio.67 I [Q I; flueexperimen‘t 13 “Flip a. coin 5 {:I'WIeS,” the sample 5pm": ' cm be ltéh’d as: ' = I ‘ Q" a 2:3 ,_. 14(5) 8 {FCFHE ifi"__’_8 35 Here are some EVen+s : [LEI El; F“? a. head or} (“5* 0'1“- 9P ‘1 {”3” cd' [easzl once . Then Bars and P(ED = %%%%‘ =m§=rgi kiMQ‘Z.Pfl3hB‘ Eg‘ FIN» 41* leas+ 1 41:11. TKt-m 11(52):? and 19(91):- BEES? = ;— =. 0-825 POEM §~= 0.375 54-. Flip exadluj g5, E4: 21+ “(21+): 3 PCP-4) = git-3% = % = 0.375 We“): ~93: —.-. 0.3315 [9] We now experienced w/ a shadow! deck of: 59. cards: @: A, ‘2, .3 4, 5, 6, 7, 9,9,10, If, 65 K Buck 1~e~jed J‘ '3 A,Z,5,4;526fl',8,9,IOJJLQJK Red keyed J' 4: A,2,3,4,5Je,7,9,3,to,3362,1< R'ed %: A, z, 3, «,5 5, a, at, 8,9, to); a, K. Black 59." cards : 4 suii's : lb carols/wk : Zéblaak— 26 red: 12 face—canisq Here are Some evenbi Pele an A C] :p‘rb amfificgfig Shalom. whtfi {5 {he ' .. nCK) __.¢l.__._|__ El 0v 1603?. 1’00 -— Mn (Deck) - 52 lw l a black if PM?) .._. L“ 7).: £25: I: E, a. red face card ' PCEab— VICE», 6 13 wt?) 35’7“? [3 Read Examilefil E 630 -- on st'h'c. Fibrbsis -— 3‘; will Pabmblg 6 an 5 o _---—- 1°“ ‘3 EmziriCO-l Ptbablldly {th1 There is reg“! 0h 3_rd *yye 65? (p.651) yrobabihjrg: SubJEcflveR-uimbif 3+}, 31: U The EmPirical Probabilifi of an event 1—; is (58 b > = mm 61' PCB) = observed 336*? {7134195 5 occurs eo’cal :1: 6-? observed occurrences + mmm+ Mihflms [If Example ‘fFa'mmjéi-h 2:35;?“ mrra‘sz 93mm g “.41.? 634 9mm: _ comm fi'étvte. 2.3 0.2» {H3 Hid Hub ”—” W ”W ”W“ ““"'“"'W (empiricall‘ 4 5 “0 24_2 Prohabili 5‘1) M” mm mm mm? {w ”TWB that? d. randamk‘ ‘ . i 39 o seled'ed Amer-gain who moved m 7,004 was... (remit! 41> nearesf hundrede), w T :- fl(0wners) 5 [4'3 ,4: 0'3 952:. .3 £2 0 nc WWW) W 39.0 7“ 9 .3 w “(133 , 24.2“ é) #2 rerfier PCIO- mm" Egh 0.6232 0. 3; c. «150. (31“3; 30:4 _ : . #63 moved “/W' same 51m fimma — 19“.; w 39 _ 6 var n (T) W - 2 3 4 7 1 (5013):} ”S 6 cm W- _ _= ‘ ,c .91) 63 Ms; F 2 __ #1112) l ( ) ”(1') 3g P(3)fl :E’f’; ' PC§D= 353:? 2%" VIC?) , é --——— PC?) :3 ”(7) Ea”; 2 P (4 r5! gr”) "7 M w 3‘6 ...
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