teori peluang

11
.'Ant$$ii"r*0firnoh- .(lwn,zgon): , . .*:,i *,.r:-:, Cihra Nur Fdzri ' Y ttoo lt 21096) Deui' ,Rohrmni . f ,-' (loo gzg 040), ",,' ' fira Indoh- g troorr2stt9) S ool Halarnan I 3T. Y ;r'nono' dori,,tcejodioilli,bri t$rt Vang,'.foffiul T. z. 3- ! 5. i: q. A b. B c- d o) b) c), A: I t,g] (.= 1t,33 = L x I x bflangon podo suatu dods J C : t Xt x'-4X +3 'oJ D'txl x .llrntoh rnuFa Tnuncul bil o enorn rnat o u on i aurrab - dilon tu nFqn ) 9= t l,L,g,q,g,6J dJ Q= nCs) e 7c= 61 a aa K e ia diqn van s0rn0 CIdofoh ft dCID c, 9tuttr cohon bodirf atos liron glrtu dodu dqn Kernudtorr m elontvn uJ.ong togom s 03u Koti bilo anqKo uon rnun,cul do dadu oerroD . Bi lo Ko po do dod u gon ii t , rnot o umg-tpdi dilonttrnFon duo t<oli. Derrgon rhenggtndFon lornb 4m , fii sol ngo, unHF rn€hgcr[oron reiodian bohwo dodu rnunorl angra 4 dan Remudian uonq lognrn munall rnqFo, don 3i^g mensoLaFon Fqlodion bohwo dodU rnemberi leo 3 dtiFud oteln rnulFo don rernudi sn bet qkqB podo dodu , buobtoh dra hon unttJk rhqruniuFFch t4e l8 un$ur da\orn Sdnpel T. iquab r/-- Titi f Sarnpel t M ll , lvtl|, lvl2, lv131,lv132, M 4, fu9t. MEz,w, Bn. Bl z, g2, 3< s- b}t, Bgz,bl,bEl,b5z, gG F t8 ungvf - 9 I Z 3< fr=\ 1'rt S INA Ri\ i\ouwrnl j \ t.----l ^/ ,{z

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Page 1: Teori peluang

.'Ant$$ii"r*0firnoh- .(lwn,zgon): , . .*:,i *,.r:-:,

Cihra Nur Fdzri ' Y ttoo lt 21096)

Deui' ,Rohrmni . f ,-' (loo gzg 040), ",,' '

fira Indoh- g troorr2stt9)

S ool Halarnan I3T. Y ;r'nono' dori,,tcejodioilli,bri t$rt Vang,'.foffiul

T.

z.

3-

!5.

i:

q. A

b. B

c-

d

o)

b)

c),

A: I t,g]

(.= 1t,33

= L x I x bflangon podo suatu dods JC : t Xt x'-4X +3 'oJD'txl x .llrntoh rnuFa Tnuncul bil o enorn rnat o u on

i aurrab -

dilon tu nFqn )

9= t l,L,g,q,g,6J

dJ Q= nCs) e 7c= 61a

aa K e ia diqn van s0rn0 CIdofoh ft dCID c,

9tuttr cohon bodirf atos liron glrtu dodu dqn Kernudtorr m elontvn uJ.ong togom

s 03u Koti bilo anqKo uon rnun,cul do dadu oerroD . Bi lo Ko po do dod u gon ii t , rnot oumg-tpdi dilonttrnFon duo t<oli. Derrgon rhenggtndFon lornb 4m , fii sol ngo, unHFrn€hgcr[oron reiodian bohwo dodu rnunorl angra 4 dan Remudian uonq lognrn munall

rnqFo, don 3i^g mensoLaFon Fqlodion bohwo dodU rnemberi leo 3 dtiFud oteln rnulFo

don rernudi sn bet qkqB podo dodu , buobtoh dra hon unttJk rhqruniuFFch t4e l8 un$ur

da\orn Sdnpel T.

iquab

r/-- Titi f Sarnpel t M ll , lvtl|, lvl2, lv131,lv132, M 4,fu9t. MEz,w, Bn. Bl z, g2,

3<s-

b}t,Bgz,bl,bEl,b5z, gG F t8 ungvf -

9

IZ

3<

fr=\1'rt S INA Ri\i\ouwrnl j\ t.----l ^/

,{z

Page 2: Teori peluang

Fr

@lYa ol fejq_dian beritsrr+ _JqT _sdirH. ter pisoh ? ___

o. suotv_ f ese belosovt Sg}oFboto poll Ken\as,ukan '.qot pdo mq\rt - a\eolt t€rAF hir

don rne ron pertondinoon :

b . seo run rnoin pot€P Kartu Eernw' berworno' gomo' t+lulh ) don 3

berworno $ono 9 lcrtu somo t I i'r

C . Seorono' ibu 0 ans rn elo hirKo on don E baUi xe rnb ar woni to

o hor,i' gang so rn 0 i

d . seoro gllnln catur roloh errnai nan lemFhi r \aP, mem€nflllg mn an di

JawaL :

a I tidap Sdtr tnt.. k tt Ke$ebehEan F bo{a Uqt\$ ltRtviqsuFcth 9ol

d^ lYlgntb - rY[eI\! tenarhu' dan Fe5&befq{:a"T\' Sgqcttc bota VanS \e3nefia"vlgh'qn

v\ I hrernitlFt UnSur gqf$tOc^n nq (ama ak+rv tr'otala hl,ry

tidat

rq rne$aprltuarr Fart,J seuu berunr$4

Fcn V tgrna g4n9 E;Lb^a. pa"cl-et

erniUFi U\Sur tsgFoNat^. a*0r.J ta"t*wg

A--u

aoo

Ict --D A 0b

b - Sal,trq ter harev,a

6a.l$a dan S

I Ka.rN Sc^ns.

gaL. n+ -4 n b ?-

c- tidnp A teroigal.. kaCe-r€ geDlctwg thJ fnebhtntcan geor-a

t?ra,?htr teteoj taef(QFr;frpn ata0 Se'Llng tergtserh a"p R nb =a

PaSa Le oUan S4&n *efi isryA addah b&nJ

Ornh dfif, , g@0arng .,..,1,kJ, $^eLalntr b,afi 'b+{i rbe+qb,etr. L^lq$r\\ 9a"'"Sbfv\q'rftezg)'', ttc*at&,., S qfl,ng'' tQr"g gerl^

.

ffii/{srNr$ti\I i n tt l,''J L1I- J

Page 3: Teori peluang

Ssol Holornan 19 i r I:

?-l- Dolorrr- :"guutu i, Kesehoton ho .di KglOynpoFl< an ' 'dq\arn 8 caro

rnenurut qolo darohngo : nB+, ng-,n+;A:riD,t,g-:;gl_r: atau o-,.don jugo_ berdosg{tsgh

dOmhnEO, ,,fendOh;,mnmlr&fiil 'tihggi., Cgr;;,bpg*ngn,coro,'''S@r0nq_ -'* . *

errderito do diKgornpKKo,l -

Jou.nb,

kmeno llr= B dqn

ll,rla' (S)(3) = 21 :Kernu)g Ki n0n

0z -- 3 /hOKO seoron enderi t ct dapat direlornpoKKan dqr i

ETi moh0siluro boru lq*t mq'gornttl moborgli.gh- tilrc , don rnotemotiKo . Bilo

ssrotg rnotnsisun dopot lnemigh gotu doi 6 Kutioh {isiro , Sctu dari 4 Kulioh Kiwri a ,

don satu don 4 Fulioh mote

rornnqo ?

Jawob

Koreno 0r= 6, hr:1,!'lt=4, rnQKo

11, xllzX 01 : G x4x4 = gG COro,

l"J.r,q_gbof _ at rc {qpot dihli- dori P pbriF obot .rnno berbedo dobrn bq}bur .

@ir, dau tabt9A, atarr r Semuott diHlct dolon KOdO.r biOgo dan ffi. l

caro-gong. bertqnon seorary doFber '4opot qle&li$Grr' resep oba,t : ,

osrno Wgi Seorcn

J aurab

,$ML'..-,. _ ,\y:z'xI= .79t 9W _mq!r*tiE?,#t*:

bia0+,,imbll4n

tz,fiiba}ran

Wc bioe

?6.WMtnfu)"on

hiup

tilrrb4hanI ata

bvsa

VrtA,S?+ctmb^han

Page 4: Teori peluang

b.B;ilo g,

c0nhh 6 0 dian+rtkah rnogur Fe brs ?

; 6X;J : 6r!xf

,?ii, ,y{ x { v E,*-t-

A. C, 3 6!(6-r )! rJ

'{ ; i',

c. C; -- 6I 2r.rx* : fs.(6'+) !?L { xlvt

al,Zr?,4,g don 6 btb tidori

b. ?i --

= 7n6 XS X

*t-3 glD

te$l' bcsor eri ?n?

ED b xs F tgo

1!(r-b) I

= {X{X 6: AG

Page 5: Teori peluang

'QNrsy dpltitr smm acok, tribrnata"h

P ( fia ,-S.,1 - Trtl2lIXr

Pi V\" ie latahJ = 3q : l?lm ,D

fv|; fnftefhatilo

$: Iepra/,r

'J<emh[ podo pentingnp purjapon r.erehotan garg dinnrrtcqn podo perelition di Aofipnio di ra&l

hohro,gl ,misolhn bo},lll] dod m rnolorisun tirgtat terarhir Emtu unirrcr$ftf teffqrofa ato

O!€r0F0Fr 298 ninum rninvftIr b€mlkdol t ?.t6 frnkon ffiilru .@snl mFoh, lz2 lhelofok dan miruarnrnutyun bera1pgho1,B3 muEorr anhro lduUryffon dan mirrunrrnirurmn berofxonol, g-t mgokd<

i sel holffinn eq

don rnonn 0ncoru Jodunl n/nmn, dan 92 rnuokuhn ketirgo *ehal0Qn gong rnemqcnq auiCIe *elialron

r Fe$eho*an ta$ebut todi. bih rnoha(isu,o dhnil sQcnnr acok di uniwgitqj M,

o'b'monniltora 1v16$on don n^ifun rnnurvrqn bQmikot^p'l

c' ulhr meror* dun titar rv0ron onbnr Jae,{}..$ ,fncrko.n .

Jaut$$; 5oo

IoboU = ?t0a\bcho\ 'Zillf\q,k-o",

= ? [L

Rnn - \z?

rnnA:sj{\n c\: q}

16 = 7

S8 rl

A\s[83

cl gt

r?8

Knnn A'12

/ffi\\D_t!rNlaLl

Page 6: Teori peluang

r-

Sod holqnon Afr.

doa 8 fidek iput don psfqgruo - $rlo CeO

iLrS psr Feflga Lul^iilQ

tic0L i hlt ro[ogi rnengik$+ i cqloruh don rnoiernotlla0.IeI€frb, se$s

jaUeb ^. PCrn o P of ) n,(S ) -- toD n0)n (hn)

hCP) 7 68 h[wr0P]: rrn(rhuo)':l

*h h (mn Pol ) = tt>

n (nnrrf ul)' =8

(7 cv) i ,iln trnoPnT ;;

h c s)n t?)ncs)

P '(,p )\ '

2

h frnr]l ) '9L i

.TBO

77

IObi--1

68

72".b2.

brhln'[otu ddJ frernuncujl<o.n 4 ,b

'f'tUllq,frl 5:;:i !

JurnloJ^ Leduo o leldh beru dori.l.JawaL '

0- H = t 4,93,1s,4,ntn)' z

h ( S) = ?6

_ nh) _ n(4

--n [s) n c9) 36

b ff = \"4,4J,U,91, t4,63 ,{,r4J, t e,+3.n (*l =ln [s) : 7(

- n(4) 5

n[s) x

Page 7: Teori peluang

tr

scbu karffr diornbitdqn selca6qk k-aFtu don t€rn (r)arnon rnenrA . Be

bntlglla kafir itu leb;h besar don lebih F€sf dai g

lebi h be sar dari 2 i lehhrccildnri g- :) 3,4'916'7,8

Ph,b Ar) =9+L

)L

an,

-5z

Petw sebuoh rrobit

l3

;Fylgmer tukon t son

diisi bensin rnerh€rtukon i oti o,29 ;oh"o;40') ,don nuo rngrngr,luFqti,', onti, o1i

I ..I r,

orlt t),7

don . Sqringqn O,lq. , ',

o- bi lo oll tu diganti, be bohulo sorin n oli dr turan r I

b-bilo Sqri diPerlulcon, o, bdoun oli erh,r 'di

t .t ^ . !' lrI

( g) = 0,29

P (,E) ' o,4o

P (e s) = o,t1

e O$S

: or39

Ie0 lq1.i -lqEi tetah Eali n rngnonton f:Slm sffi d; W _ado"! 6ph ,O,4 dQn

Uohg seororrg unnrto yo/t g telo[ paut n rn ehOIltOn i\ nr u a.,n gcrrh &o,5.peluan

lofi -laK, rneronton +itrn tersebut bi\o \strin o menonto n od ol qh 0,1 . Hftu n

Iuurni rstrr henonton $lrn b tn s€ hltb. seonons 'istri rngrronbon gilm tengghxt bi lo ttlanrrngo rnen ontoa

c. palr nq Sed,Kit Jeorur[ d0r' 9trtrr4'tr tJtn; m€nonton fl\rvr b€$ebu*

j awob

Ks) = o.{

o. ? (ste) =

b- P(6ls)

?tg= o,\9 (sn1)= o, ?

4 P(I) P (rn I ' 0,5 x C,7

: Or3S

NPP(s 3n P(l,jr OrS 5

x Qrf

Page 8: Teori peluang

--:iri-"i,, "'i

I.- '*'.,.'...;

Boof ',Fg[

o,2l 'i rcut o. tD

6.;,

fstri gk.ub, bflo direhhui suowrinuo iFut,Iu9m, [,Fut, bi\o diretohui istr;hUa +ii$qr ilql+.

bsc)- s

P(r) :

P(s1 :

P(sat

o,1lOrlI: o,lS

? [t us)0,Ll t o, zb - O,lg : 0,3q

P (ll + ?Cw)

P(r ct s)

-- P(Snr)

O,l,. ; A,Ll

o,gL,'

"9,1 z

il:

P(I)

(r n t' tl,

11

ffi\s,T-ll

Page 9: Teori peluang

m- Petuafi cebuol. kerrdorqon benplat L lewat J o, 12 ', t€ndQZB ; .oeluqnqruq truk itu ben ftt. . t- =gr0 hohu)o'o. Sebuoh truF [€u&t,. J rnrl)i bsb- seDu@h Fendonoon berplo* t reubt Jq tr,ri dQJa"h sebuoh trur ,

c-sebuoh Fen doraan letrct Jomtoulr ti'dor bool a* L aLant bqrlrh trukJ aurob

FtA) = p(Ans) O,oQ g

p (p l o,a8 "E

b. P(A I s) j- P(qng) G Or8

P(s) O, rL

P(AnB) : l-o,og +a,? 1'"

t

Petu bahun onqo berodo dt rurm.h Fe+nKo iual .tomu debo 0,6 . Jitcgngongo berodo di rurnoh retuon a dio rnernbefu ,1olnu o,4. Itnrr

at

Corr

bohun fiVonuo benodo di rurnoh dol mernbeli.lornu ketiKa ,i uq.l

P(qnb) : Ptq) ?tb)

' ArL x Orlt C), )4

t'lltljr

o.

Page 10: Teori peluang

dor-ter d rnerdi s et'errri ;t +€nbenlv,

o,1 - Bfto dopter todi sajo,, diqon0ro , nqCI ti rqkit rnenidort€r saroh di aqnoc don ri 3qtslt rrTerri o-.1,..

\autab 'l

I) 3 [- 0r1 : A,3( nn) i.0,9

.: P ('s ^ M) ' (s) x p (tvr)? Or3 ^ Ar9

= Qr77

guqbu lcorun bQn$r' l bola putih dqn 3 bolo hita rh , s RA.n rontun \<eduo

beniri 3 boto ;h don g boto hitarn . satu boto diarnbil dod Eont pedua

mel,, hat a darr di rnOgukhqn Fe k.n Beropakoh seL

ornbi-t e ebu&h bolo dari tsqn orrr a bertrnrrra pwtih

t^?r) =

P(P,^Ha)' G

? t (P, n?, Atau (,Hr ^ P.)

= ? tf, ^Pz (H,^fz )3\(e

_lg6+

P ('H,^ lt") = [o

a+

Page 11: Teori peluang

SSron unho €rurrundon Lrg-t gstou[ej rnempqnrra,i 8 Hrro induk untutrneJnhrFo b runml, baru' |uo*u rurholn hanuo akan di buka

so+0 ku/r ci indut ten+et*a . 8f b 10 70 dar; rumoh biasantot te:vtnd, b soho tertebcr.s d rwtukke SeltLaA ruftnA Lentg)ttt bila dr^o tDstmmbf f ti a 1<-t:.rtct indutgeclIA KA* Ceklan fYrerri Icaa kqnto

pCA) = 10 "A P (A'}= Ga"L

? tA U (n'n $) prA') ?{gl

loo

loo Eoo

- '16 +9

1o

25

rEo

{o