Unidad IV Dist Discreta de Probabilidad

 

Z@VPJCODN JACOWNZOKN H@ W@K@\P@CN PKOW@ZTOHNH KNDOAKNC @RV@ZOI@KXNC –ZNGN@C INZON JNZNCX’ VZAEZNIN H@ NHIOKOTXZNDOAK  NTOEKNXPZN<  NTOEKN XPZN< @TXNHOT @TXNHOTXODN XODN O  

PKOHNH OW. HOTXZOJPDOAK HOTDZ@XN JOKAIONC  

 Nc`xn Tncnznr  Tncnznr  D.O.< >>.:80.:42 T`ddoôk< 44:>>  Had`kt`< Dïsnr Jnrro`ktas

Douhnh Al`hn, 62 T`pto`ijr` h` :.6:>

 

Ékhod`

Oktrahuddoôk …………………………………………………

:

>. Dakd`pta h` h` cn cn ho hostrojudoôk jo jokaionc …. …..…………….

4

:. Dnrndt`réstodns h` h` cn cn h hoostrojudoôk jo jokaionc...….……..

8

4. Psa h` cn tnjcn h` cn hostrojudoôk jokaionc…………..

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8. Gariucn Gariucn `stnhé `stnhéstod stodn n h` cn hostroju hostrojudoôk doôk jokai jokaionc onc dak su r`sp`dtovn h` h`sdropdoôk…..………………………………

0

0. Npcodndoak`s Npcodndoak`s nc nc dnipa dnipa nhiokostrn nhiokostrntova tova h` cn cn hostrojudoô hostrojudoôk k

 

jokaionc..…………………………………………………

0

7. Vnrt` prîdtodn inkusdrotn. @l`rdodoa r`su`cta ….…….

7

Dakdcusoôk …………………………………………………..

2

>

 

Oktrahuddoôk  

@k `c pr`s`kt` pr`s`kt` okgari` okgari` s` h`gokorî h`gokorîk k tïriokas tïriokas dcnv`s dcnv`s pnrn pnrn `c nkîcosos nkîcosos

`s `stn tnhé hést stod oda a h` uk `v`k `v`kta ta h`t` h`t`ri riok oknh nha= a= da daia ia cas cas sa sak k cns cns i` i`ho hohn hns s h` t`kh`kdon d`ktrnc, h` vnronjocohnh, h` arh`k.  

Dnhn pukta n h`snrraccnr p`riotorî dakad`r cns hog`r`kt`s b`rrnio`ktns n

utocoznr pnrn cn nerupndoôk u arenkozndoôk h` cas hntas r`dapocnhas pnrn su past`roar nkîcosos y par `kh` dak sus r`sp`dtovns dakdcusoak`s y r`suctnhas dakgonjc`s pnrn cn tain h` h`dosoak`s.

:

 

>. Dak Dakd`p d`pta ta h` cn hostr hostroju ojudoô doôk k jokaion jokaioncc  

Cn hostrojudoôk hostrojudoôk jokaionc a prad`sa h` J`rkaucco J`rkaucco `s ukn hostrojudoôk hostrojudoôk h`

pr praj ajnj njoc ocoh ohnh nh hosd hosdr` r`tn tn qu` qu` h`sd h`sdro roj` j` `c küi` küi`ra ra h` ïxot ïxotas as nc r`nc r`ncoz oznr nr k `xp`roi`ktas okh`p`kho`kt`s `ktr` sé, nd`rdn h` ukn vnronjc` nc`ntaron.  

Var ca tnkta, tnkta, cn hostroju hostrojudoôk doôk jokaionc jokaionc s` `kto`kh `kto`kh` ` daia ukn s`ro` s`ro` h`

pru`jns a `ksnyas `k cn qu` saca pah`ias t`k`r : r`suctnhas (ïxota a grndnsa), so`kha `c ïxota ku`strn vnronjc` nc`ntaron. @l`ipca< `c cnkznio`kta h` ukn iak`hn duya r`suctnha h` «sndnr dnrn½ `s `c ïx ïxot ota. a. To cnkz cnkzni nias as 0 v` v`d` d`s s cn iak` iak`hn hn y da dakt ktni nias as cas cas ïxot ïxotas as qu` qu` ajt`k aj t`k`ia `ias, s, ku`s ku`strn trn hostr hostroju ojudoô doôk k h` prajn prajnjoc jocohn ohnh` h`s s s` nlustn nlustnrén rén n ukn ukn hostrojudoôk jokaionc.

:. Dnrndt Dnrndt`rést `réstodns odns h` cn cn ho hostroj strojudoôk udoôk jokai jokaionc onc 

@k

dnhn

pru`jn

h`c

`xp`roi`kta

sôca

sak

pasojc`s has

r`suctnhas< ïxota y grndnsa. 

Cn pr praj ajnjo njocoh cohnh nh h` ïx ïxota ota `s da dakst kstnkt nkt`, `, `s h` h`dor dor,, qu qu` ` ka vn vnrén rén h` ukn pru`jn n atrn. T` r`pr`s`ktn par p.



Cn prajnjocohnh h` grndnsa tnijoïk `s dakstnkt`, T` r`pr`s`ktn par q, q9>√p



@c r`suctnha ajt`koha `k dnhn pru`jn `s okh`p`kho`kt` h` cas r`suctnhas



ajt`kohas nkt`roari`kt`.  Cas sud`sas sak iutuni`kt` `xdcuy`kt`s, `s h`dor, ka pu`h`k adurror cas : nc iosia to`ipa. 



Cas sud`sas sak dac`dtovni`kt` `xbnustovas, `s h`dor, nc i`kas uka h` cas : bn h` adurror.



  Cn vnr vnronj onjc` c` nc nc`nt `ntaro aron n qu qu` ` soe soeu` u` uk ukn n hos hostro troju judoô doôk k jok jokaio aionc nc s` su su`c` `c` r`pr`s`ktnr daia R~(k,p), hakh` k r`pr`s`ktn `c küi`ra h` `ksnyas a `xp`roi`ktas y p cn prajnjocohnh h` ïxota.

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4. Psa h` ccns ns tnjcns tnjcns h` cn hostroj hostrojudoôk udoôk karin karincc y `st `stnkhnr  nkhnr  Var `l`ipca so quo`ra dncducnr pnrn cn J(0,6.4) Cn prajnjocohnh h` 8 ïxotas. Pkn Pk n v`z v`z dncdu dncducnh cnha a `c vncar vncar h` –\ –\’’ (h`sv (h`svon ondoô doôk k karin karinc), c), pnrn pnrn pah`r  pah`r  dakad`r `c vncar h` cn prajnjocohnh `s k`d`snroa `c usa h` cns tnjcns h` hostrojudoôk karinc= hodbn tnjcn s` daipak` h` ukn dacuikn (ozquo`rhn) y ukn gocn (sup`roar) `k cn dunc `stnrîk tahas cas pasojc`s vncar`s qu` –\’ pu`h` tainr, tahas cas vncar`s, qu` s` `kdu`ktrnk `k cn pnrt` okt`rkn h` `sn dacu da cuik ikn n y `sn `sn gocn gocn,, sak sak cns cns praj prajnj njoc ocoh ohnh nh`s `s qu` qu` s` pu` pu`h`k h`k ajt` ajt`k` k`r  r  h`p`kho`kha h` cn –\’ dncducnhn. @l`ipca< Bnccnr cn prajnjocohnh V(\≨6,80) z 

+6.66

+6.6>

+6.6:

+6.64

+6.68

+6.60

6. 6

6.06666 6.064?? 6.065?2 6.0>>?5 6.0>0?0 6.0>??8

6. >

6.04?24 6.08426 6.08557 6.00>5: 6.00075 6.00?7:

6. :

6.05?:7 6.024>5 6.02567 6.0?6?0 6.0?824 6.0?25>

6. 4

6.7>5?> 6.7:>5: 6.7:00: 6.7:?46 6.74465 6.74724

6. 8

6.7008: 6.70?>6 6.77:57 6.77786 6.75664 6.75478

8

 

Gariuc Gar iucnn `st `stnhé nhésto stodn dn h` cn hos hostro trojud judoôk oôk jok jokaio aionc nc dak su r`s r`sp`dt p`dtovn ovn h`sdropdoôk.

k `s `c küi`ra h` pru`jns. m `s `c küi`ra h` ïxotas. p `s cn prajnjocohnh h` ïxota. q `s cn prajnjocohnh h` grndnsa.

@c küi`ra daijokntaroa

8. Npcod Npcodndoak ndoak`s `s nc dnipa nhioko nhiokostrnt strntova ova h` cn ho hostroj strojudoôk udoôk jo jokaion kaionc. c. I`honkt` `c `stuhoa h`c Vrad`sa h` J`rkaucco a hostrojudoôk jokaionc `s pasojc` h`sdrojor ukn ernk dnktohnh h` prad`sas goknkdo`ras y nhiokostrntovas nhiokostrntovas okdcusov` okdcus ov` y `s nbé nbé hakh` hakh` uk nhioko nhiokost strnh rnhar ar h`j` h`j` t`k`r t`k`r dcnroh dcnrohnh nh h` `stn `stn hostrojudoôk h` gr`du`kdons pnrn pah`r okg`ror r`suctnhas, hnha qu` `s `sn ukn h` cns utocohnh`s ins jîsodns h`c `stuhoa y usa h` cns hostrojudoak`s h` gr`du`kdons `k `c dnipa nhiokostrntova.

0

 

0. @l` @l`rdo rdodoa doa saj sajr` r` hostroj hostrojudo udoôk ôk jokaion jokaioncc

7

 

5

 

Dakdcusoôk  

@c t`in h`snrraccnha sajr` cn hostrojudoôk jokaionc `s h` ernk nyuhn pnrn

`c dnipa nhiokostrntova, nhiokostrntova, p`riot` h`sdrojor `c küi`ra h` ïxotas nc r`ncoznr k `xp`roi`ktas `xp`roi` ktas okh`p`kho`kt`s okh`p`kho`kt`s `ktr` `ktr` sé, nd`rdn h` ukn vnronjc` vnronjc` nc`ntaron. nc`ntaron. @s uka h` cas iah`c uka iah`cas as int`iî int`iîtod todas as qu` qu` iîs iîs s` utoco utocozn znk k pnrn pnrn dncdu dncducnr cnr cn prajnjocohnh h` ïxota h` uk `v`kta.

 

Cn tnjcn h` hostrojudoôk jokaionc `s h` ernk utocohnh pnrn h`t`rioknr h` cn

garin gari n iîs npraxoin npraxoinhn hn pasojc` pasojc` cas vncar`s dakdr`tas dakdr`tas h` nceuk nceuk prajc`i prajc`in n pnrtoducnr, sak h` ernk v`ktnln yn qu` nbarrnk to`ipa h` trnjnla.  

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