Estadistica II

 

Uhddmr mstheâst`ol @@

Gldbhc Flmd Ohrvhfhd Msolahr Ehv`e Ohb`dl Oèremchs Dlbahch B`iumd Ècimd Ihroâh Zmøh Or`st`hc Or`st` hc Ehv`e _mrrhcl Blrhdms

]c`vmrs`ehe Em Ouce`chbhroh 5:5U

Gmcry C`øl C `øl Ahaht`vh Mstheâst`oh 87 em lotuarm emd 1:18

 

Uhddmr Cöbmrl Els @ctrleuoo`ÿc Olc md prmsmctm trhahfl, ausohbls tmcmr t mcmr uch bmf bmflr lr odhr` odhr`ehe ehe nrmctm h dls tmbhs, t mbhs, mstl olc dls mfmro`o` mfmro `o`ls ls prlpumstls plr md elomctm, em `iuhd nlrbh sm prmtmce prmtmcemm dd ddmvhr mvhr dl hprmce`el hprmce`e l h cumstrh cumstrh v`eh dhalrhd; he`o`lchd h mddl dls tmbhs hquâ prlpumstls sm ghc rmhd`zhel em uch bhcmrh hutÿclbh y or`t`oh, plr oheh `ctmirhctm eemd or`t`oh, md irupl, olc md n`c em rmsplcemr hd lafmt`vl msthadmo`el. Lafmt`vl Imcmrhd Qmhd`zhr olc àx`tl md trhahfl prlpumstl plr md elomctm, y olc mddl imcmrhr uc bhylr olclo`b`mctl olclo`b `mctl mc ohe ohehh `ce`v`eul qum olb olbplcm plcm mst mstmm irupl, phrh plemr ple mr pdhsbhrdl pdhsbhrdl mc uc nut nuturl. url.

Lafmt`vls Mspmoân`ols   _m dm `ce`ohrh h oheh ohe h mmstue stue`hctm `hctm dls mfmro` mfmro`o`ls o`ls qum emam e mam rmhd`zhr, rmhd`zhr, olc md n`c n `c em tmcmr uc

•

hemouhel lremc y qum oheh ohe h ucl sm hprlp`m emd e md tmbh. @ce`ohr rmspmotl h dls puctls prlpumstls. •  Lrihc`zhr oheh uch em dhs mv`emco`hs mcv`hehs, plr dls mstue`hctms emd prmsmctm irupl. • 

Emshrrlddl Mc mstm lremc em `emhs, ms md prmsmctm eloubmctl mcolctrèrmbls6 irèn`ohs, emn`c`o`lcms,  prladmbhs,  prladmb hs, olc su rmspmot`vh slduo` slduo`ÿc; ÿc; mstl puctls s`c e ue uehh hdiuch, smrèc md oumrpl em cumstrl cu mstrl eloubmctm y dh ahsm phrh plemr tmcmr bhylr odhr`ehe em dls tmbhs prlpumstls, plr ltrl dhel sm `cehihrhc hutlrms y rmnmrmctms rmn mrmctms h mdd mddls ls sm mfmouthrhc puctl h puctl ddll mfmro`o`ls mfmro`o`ls prlpumstls plr md elomctm, tmc`mcel n`chd`zheh msth phrtm, prlomemrmbls h ehr cumstrh olcodus`ÿc y pmrspmot`vh emd e mshrrld mshrrlddl dl e m mstm mfmro` mfmro`o`l. o`l.

 

8) @bhi`cm h dhs prumahs em g`pÿtms`s olbl uc prlomsl elcem sm emshrrlddh uch smoumco`h em hot`v`ehems. Mdhalrm uc e`hirhbh em ndufl qum rmprmsmctm msths hot`v`ehems y prmvmh dhs pls`adms rmspumsths. 

8

N`i.8.E`hirhbh-ndufl (Hutlrâh prlp`h,1:18)

 

1) Ulehs dhs prumahs em g`pÿtms`s slc buy s`b`dhrms s`b`dhrms mc m c su mstruoturh. _`c mbahril, sm e`nmrmco`hc mctrm ssââ mc uch oumst`ÿc nucehbmcthd. Mspmo`n`qum ouèd ms msh oumst`ÿc. Mdhalrm mfmbpdls mfm bpdls elcem msh ms h e`nmrmco`h sm plcih em bhc`n`mstl. Ouhdqu`mr prumah em g`pÿtms`s qum sm rmhd`om h uch pladho`ÿc, Ouhdqu`mr pladho`ÿc, ut`d`zhcel ut`d`zhcel olbl ahsm nucehbmcthd nucehbmcthd dh mstheâst`oh `cnmrmco`hd phrh emtmrb`chr dhs hprlx`bho`lcms bès homrthehs, h o`mrths prlp`mehems em dh pladho`ÿc; Hglrh a`mc, thd olbl dl pdhctmh md mcuco`hel hctmr`lr, hqumddhs prumahs rmspmthc uch b`sbh mstruoturh, pmrl md bàtlel o`mctân`ol ahsècelsm mc dh rmhd`zho`ÿc rmhd`zho`ÿc em mxpmr`bmctls, mx pmr`bmctls, phrh em mstm blel blel emtmrb`chr s` dh g`pÿtms`s ms o`mrth, l cl dl ms. Mstl ms emtmrb`chel em dh s`iu`mctm bhcmrh6 _` dls rmsudthels emd mxpmr`bmctl mxpm r`bmctl olcoumrehc olcoumrehc olc dl mspmrhel mspm rhel plr md `ce`v`eul, `ce`v`eul, sm olcs`emrh qum dh g`pÿtms`s g`pÿtms`s ms o`mrth, s` plr md olctrhr`l olctrhr`l olc olcoumrehc msth ms rmoghzheh. Mfmbpdl6 _uplcihbls qum heb`c`strhbls uc prleuotl em ihsmlshs, mc mstm lremc em `emh emamrâhbls dlirhr qum dh bme`eh bm e`eh em dh vhr`hadm vhr`hadm M6 (Ddmchel emd mbahdsm, smh mnmot`vhbm mn mot`vhbmctm ctm 7:: 7:: b`d`d` b`d`d`trls). trls). Zhrh rmolimr dls rmsudthels, sm emam rmhd`zhr rmhd`zhr uch `cspmoo`ÿc `cspmoo`ÿc pmr`ÿe`ohbmctm pmr`ÿe`ohbmctm h dls mcvhsms em ihsmlsh ihsmlsh, phrh emtmrb`chr s` msth sm ddmch h dh bme`eh qum sm msthadmo`ÿ; hglrh a`mc, rmspmotl h dh bumstrh h dh ouhd sm `cspmoo`lch, sm ghom uc prlbme`l em msth m sth y sm msthadmom m sthadmom uch Gl (G`pÿtms`s cudh) cudh) y uch Gh (G`pÿtms`s hdtmrcht`vh); hdtmrcht` vh); s`iu`mcel olc md mfmbpdl mfm bpdl sm tlbh olbl olbl Gl6 (bme`eh ( bme`eh emd mcvhsm ms `iuhd h 7:: bd) y h Gh6 (Dh bme`eh emd mcvhsm ms m s supmr`lr h 7: 7:: : bd). Emspuàs em mddl sm ghom uch olbphrho`ÿc olbphrho`ÿc mctrm m ctrm md prlbme`l em em ̍∑ ̍ ∑  .  dh bumstrh y md vhdlr emsmhel, mstl ut`d`zhcel ut`d`zhcel dh s`iu`mctm s`iu`mctm nlrbudh6  2 /∖

 

?) Mdhalrm uc e`hirhbh e`hirhbh l rmprmsmctho`ÿc irèn`oh irèn`oh qum rmprmsmctm tlehs dhs prumahs em g`pÿtms`s qum sm hchd`zhc mc dh msth uc`ehe tmbèt`oh.

N`i.1.E`hirhbh-ndufl (Blclirhn`h.olb,1:18)

 

N`i.?.E`hirhbh-ndufl (Blclirhn`h.olb,1:18)

N`i.5.E`hirhbh-ndufl (Blclirhn`h.olb,1:18)

N`i.=.E`hirhbh-ndufl (Blclirhn`h.olb,1:18)

 

5) Dhs prumahs em g`pÿtms`s cl prlvmmc uc rmsudthel omrtmrl, s`cl qum plr md olctrhr`l pumemc prmsmct prmsm cthhr mrrlrms. Mspmo`n`qum ouèdms ouèdms slc dls pls`adms mrrlrms y emtmrb`cm em tmrb`cm dhs prlah prlaha`d` a`d`ehems ehems em oheh ucl. Hembès, Hembès, hchd`om hchd` om ouèdms slc dhs olce`o`lcms olce`o`lcms qum emtmrb`chc em tmrb`chc e`oghs e`oghs prlaha`d`ehems prlaha`d`ehems y md m d blel mc qum sm pumemc pumemc ohdoudhr.

MQQLQ U@ZL 86 mstm mrrlr sm prmsmcth prmsm cth hd rmoghzhr rmoghzhr dh dh g`pÿtms`s cudh cudh ouhcel mstm ms vmrehemrl, su c`vmd em

s`ic`n`ohco` s`ic`n` ohco`hh mc mstm ohsl phrh uch prumah mstheâst`oh mstheâst`oh em g`pÿtms`s ms6 H2p (mrrlr (m rrlr t`pl 8) 2p 2 p (rmoghzhr ( rmoghzhr nhdshbmctm Gl) 2p (rmoghzhr Gl ouhcel ms vmrehemrh) H2 bèx`bl r`msil tldmrhadm em rmoghzhr `colrrmothbmctm `colrrmothbmctm Gl Hd tmcmr tmcm r n`fl uc c`vmd em s`ic`n`ohco` s`ic`n`ohco`h, h, sm pumem n`fhr dh rmi`ÿc em rmoghzl, dl ouhd vh h pmrb`t`r qum md `cvmst`ihelr rmoghzl Gl Gl olc uc irhel n`fl em olcn`hczh. Dh prlaha`d`ehe prlaha`d`ehe em uc mrrlr t`pl 8, ms `iuhd qum md c`vmd em s`ic`n`ohco`h s`ic`n`ohco`h h, plr dl dl thctl, pumem smr olctrldheh olctrld heh plr md `cvmst`ihelr. Ouhcel Gl ms rm oghzheh sm olclom em bhcmrh prmo`sh dh olcn`ha`d`eh olcn`ha`d`ehe e qum t`mcm dh `cnmrmco`h, plr mcem, su prlaha`d`ehe prlaha`d`ehe em emo`s`ÿc `colrrmoth `colrrmoth smrè sm rè h MQQLQ U@ZL 16 mstm mrrlr suomem hd hompthr dh g`pÿtms`s cudh ouhcel msth nhdsh, n hdsh, y hdiuch g`pÿtms`s hdtmrcht`vh hdtmrcht` vh ms m s vmrehemrh. Dh prlaha`d`ehe prlaha`d`ehe em olbmtmr uc mrrlr t`pl 1 sm mx mxprmsh prmsh olc md sâbaldl α  

E`ogh prlaha`d`ehe E`ogh prlaha`d`ehe cl s`mbprm ms olctrldheh plr md `cvmst`ihelr y pumem q qum um cl smh pls`adm mspmo`n`ohr uc vhdlr mxhotl mx hotl phrh ½, s`cl uc `ctmrvhdl em vhdlrms. solclo`eh l su vhdlr plol hompthadm, yh qum ghy uc r`msil Zlr mcem, mce m, cucoh sm emam hompthr Gl s` α ms em solclo`eh em msthr mqu`vlohel plr (h l α)  

8 - α 2 p (rmoghzhr ( rmoghzhr Gl ouhcel G8 ms vmrehemrl) pruma h 8 - α 2 pltmco`h em dh prumah

 

=) _uplcih qum uch mbprmsh dl olctrhth olc uch mxomdmctm rmbucmrho`ÿc, rmbucmrho`ÿc, phrh qum ustme sm mcohriu mcohrium em ghomr md olctrld em rmompo`ÿc em aldshs em smb`ddhs. smb`ddhs. Dh `emh ms qum dh bme`h emd olctmc`el em dhs aldshs smh 5: ki l bès. Ulels dls eâhs h dhs sm`s em dh bhøhch, ddmihc dls ohb`lcms em dls prlvmmelrms trhymcel uch irhc ohct`ehe ohct`ehe em aldshs oheh ucl. ]stme ] stme pumem tlbhr uch pmqumøh bumstrh em prlvmmelr, pmshr dhs aldshs y emo`e` em o`e`rr s` hompth l cl dh phrt`eh. Zlr supumstl, s` rmo`am aldshs qum cl mstèc mmc c olce`o`lcms olce`o`lcms,, su olctrhtl olrrm olrrm smr`l sm r`l r`msil em olrtm. Mspmo`n`qum olbl pdhctmhrâh pdhctmhrâh uch prumah imcàr`oh qum dm pmrb`th emo`e`r slarm oheh phrt`eh. phrt`eh. Hembès emtmrb` e mtmrb`cm cm olbl dm olcv`mcm helpthr md c`vmd em s`ic`n`ohco`h6 s`ic`n`ohco`h6 ¼irhcem ¼irhcem l pmqumøl< Clth6 suplcih qum tlehs dhs aldshs qum uc prlvmmelr trhm mc uc b`sbl eâh, t`mcmc uc olbplrthb`mctl olbplrthb `mctl mstheâst` m stheâst`ol ol glbliàcml. glbliàcm l.

 

>) Mc dhs prumahs slarm phrèbmtrls phrèbmtrls qum sm hchd`zhc hchd`zhc mc m c dh prmsmctm uc`ehe tmbèt`oh, tmbèt`oh, sm olctrhsth olctrhsth md vhdlr emd mstheâst`ol mstheâst`ol olctrh uc vhdlr em rmnmrmco`h rm nmrmco`h qum olrrmsplcem h dhs s`iu`mctms e`str`auo e`str`auo`lcms6 `lcms6 Clrbhd mstècehr, mstèce hr, t em _tuemc _tu emct, t, Og` ouherhel ouherhel l N em N`sogmr _cmemolr. _c memolr. Zlr Zl r mfmbpdl, dh Clrbhd Mstècehr t`mcm bme` bme`h omrl, plr dl qum phrh emo`e`r mc dhs prumahs qum mbpdmhc msth e`str`auo`ÿc, e`str`auo`ÿc, mc emn`c`t` em n`c`t`vh vh sm emtmrb`ch s` md rmsudthel sm mcoumctrh omroh l dmfls dmf ls emd omrl, mstl mms, s, md vhdlr em rmnmrmco`h rm nmrmco`h ms omrl. Irhn`qum oheh uch em dhs rmsthctms e`str`auo`lcms e`str`auo`lcms y mspmo`n`qum ouèd ms md vhdlr bme`l l vhdlr em rmnmrmco`h rmn mrmco`h em dhs b`sbhs. Ms emclb`cheh og` ouherhel ouherhel em hfustm (WS1). ( WS1).

N`i.>.Og`-ouherhel (Hutlrâh prlp`h,1:18)

 

9) Dh prumah prum ah Og` ouherhel em Alcehe emd em d Hfustm t`mcm uch o`mrth ohct`ehe em rmqumr`b`mctls rmqum r`b`mctls qum sm e ema mamc mc olcs`emrhr h dh glrh em hpd`ohrdh. Mspmo`n`qum ouèdms slc msls rmqumr`b`mctls y mxpd`qum mstrhtmi`hs qum pmrb`tmc sht`snhomrdls sht`snhomrdls em blel em trhahfhr olc dh bhylr ohct`ehe ohct`ehe em irhels em d`amrthe qum smh sm h pls`adm. pls`adm. Hembès `ce`qum ouèd ouèd em dls mrrlrms sm t`mcem h olbmtmr s` dh prumah cl sm e`smøh olc ou`ehel. Q// rmqumr`b`mctls   •  •  • 

•

_m emam hpd`ohr hpd`ohr h mstue`ls m stue`ls ahshels mc bumstrhs `cempmce`mctms `cempmce`mctms Ulels dls dls vhdlrms mspmrhels emamc smr bhylrms em = Md c`vmd em bme`eh emam smr clb`chd clb`chd l supmr`lr supm r`lr _` hubmcth dh bumstrh hubmcth md vhdlr em og`-ouherhel

Md mstheâst` m stheâst`ol ol og`-ouherhel og`-ouherhel tlbhrè uc vhdlr em : s` mx`stm olcolrehco`h olcolrehco`h pmrnmoth mctrm dhs nrmoumco`hs lasmrvhehs y dhs dhs mmspmrhehs; spmrhehs; plr md olctrhr`l, olctrhr`l, m d mstheâst`ol tlbhrè tlbhrè uc vhdlr irhcem s` mx`stm uch irhc e`sormphco`h e`sor mphco`h mctrm dhs nrmoumco`h nrmoum co`hss y olcsmoumctmbmctm olcsmoumctm bmctm sm emamrè em amrè rmoghzhr dh dh g`pÿtms`s cudh. Zhsls phrh rmhd`zhr rmhd` zhr uch prumah em og`-ouherhel og`- ouherhel

8.  Emn`ch su g`pÿtms`s cudh y hdtmrcht`vh hctms em rmolp`dhr ehtls

1) Emo`eh md vhdlr hdnh. Mstl `bpd`oh emo`e`r md r`msil qum emsmh olrrmr em ddmihr h uch olcodus`ÿc mrrÿcmh. Zlr mfmbpdl, mf mbpdl, e`ihbls qum emn`cm h2:,:= mc su prumah em `cempmcemco`h. `cempmcem co`h. Mc Mc mstm ohsl emo`em olrrmr uc r`msil emd =% em olcodu`r qum hbahs vhr`hadms vhr`hadms slc `cempmce`mctms `cempm ce`mctms ouhcel ouhcel cl dl slc ?) rmv`sm pls`adms mrrlrms 5) rmv`sm dhs supls`o`lcms em dh dh prumah =) ghih dh prumah y shqum dhs olcodus`lcms olcodus`lcms

 

  N`i.9.Og`-ouherhel (1:18)

 

7) Dh prumah em Alcehe em Hfustm Hf ustm em Kldblilrlv Kldblilrlv-_b`rclv, -_b`rclv, ouhcel dh bumstrh ms pmqumøh, t`mcem h olbmtmr ucl em dls t`pls em mrrlrms. m rrlrms. @ce`qum ouèd ms md t`pl em mrrlr mc oumst`ÿc, mdhalrm mfmbpdls mfm bpdls elce elcemm sm mv`emco`m mv `emco`m msh tmcemco`h y prlplcih mstrhtmi`hs hprlp` hprlp`hehs hehs phrh olctrldhr olctrldhr msh m sh tmcemco`h.

N`i.?.E`hirhbh-ndufl (Hutlrâh prlp`h,1:18)

 

0) Zhrh Z hrh olbphrhr dhs bme`hs em els vhr`hadms vhr`hadms `cempmce`mctms, `cempmce `mctms, sm ghc prlpumstl e`nmrmctms e`nmrmctms mstheâst`ols. mstheâst`ols. Hchd`omm dh emeuoo`ÿc em dls Hchd`o dls b`sbls y mspmo`n`qum ahfl quà olce`o`lcms olce`o`lcms ms pls`adm hpd`ohr hpd`ohr oheh ucl. uc l.

 

8:) Qmtlbhcel Qm tlbhcel md m d mstue`l pdhctmhel mc m c mst`bho`ÿc slarm dh rms`stmco`h rms`stm co`h h dh dh rlturh em dls ohadms prleuo`el p rleuo`elss plr uc nhar`o n har`ohctm. hctm. Àsth tmcâh tm câh uch bme`h em 87: Ki. K i. y uc emsvâl mstècehr em 8:Ki. Hglrh, bme`hctm uch uch cumvh tàoc`oh mc md m d prlomsl em nhar`o n har`oho`ÿc ho`ÿc sm hsp`rh h qum e`ogh rms`stmco`h pumeh smr `cormbmctheh, pl plrr mddl sm mcshyÿ uch bumstrh em 1: uc`ehems prleuo`ehs olc md cumvl bàtlel y sm mcolctrÿ qum su rms`stmco`h bme`h mrh em 87= Ki. y md emsvâl 81 Ki. h) Mbpdmhcel hglrh dh prumah em g`pÿtms`s olrrmsplce`mctm, olbprlahr s` mnmot`vhbmct m nmot`vhbmctmm mx`stm uc hubmctl s`ic`n`oht`vl s`ic`n`oht`vl mc dh rms`stmco`h em dls ohadms ohad ms prleuo`els olc md cumvl bàtlel, bà tlel, phrh uc c`vmd em s`ic`n`oho`ÿc s`ic`n`oho`ÿc emd = %. a) Olbprlahr s` dh dh vhr`hczh vhr`hczh emd cumvl bàtlel bà tlel cl gh ohba`hel ohba`hel s`ic`n`oht` s`ic`n`oht`vhbmctm, vhbmctm, phrh md b`sbl c`vmd em s`ic`n`oho`ÿc. s`ic`n`oho`ÿc. h. Gl 23 :.= sm rmoghzh; Gh 4 :.= sm hprumah _m ghom uch prumah em g`pÿtms`s Gl2 8.7>3 8.7>3 Gh 28.910; 28.910; mstl olco`mrcm qum Gl ms rmoghzheh (Dh rms`stmco` rms`stmco`h bme`h h hubmcthel olcs`emrhadmbmctm olcs`emrhadmbmctm)) Bme`h2 (889, 19; >:.11) a. Zrumah em Og` ouherhel ouherhel WS1 h2 7.08 4 WS1l W S1l 2 19.?> 4xS1ª 4 xS1ª sup 2 ?1.7=. ?1.7=. mstl olco`mrcm olco`mrcm mc m c qum qum Gl cl ms m s rmoghzheh (Dh vhr`hczh vhr`hczh cl gh ohba`hel s`ic`n`oht` s`ic`n`oht`vhbmctm) vhbmctm)

 

88) ]ch ] ch bèqu`ch t`mcm uch o`mrth prleuoo`ÿc prleu oo`ÿc bme`h glrhr`h, e`ihbls δ:. _m _ m ms tè pmcshcel pmcshc el mc rmbpdhzh rm bpdhzhrr

dh bèqu`ch plr uch cumvh. cumv h. Mxpd`ohr oÿbl nlrbudhrâh dh G`pÿtms`s Hdtmrcht`vh mc oheh ucl em dls s`iu`mctms ohsls6 h) _m ghrè md rmmbpdhzl s`mbprm y ouhcel dh cumvh bèqu`ch cl tmcih uch prleuoo`ÿc s`ic`n`oht` s`ic`n` oht`vhbmctm vhbmctm e`nmrmctm em dh hotuhd. a) _m _ m `colrplrhrè dh cumvh bèqu`ch sldl s` su prleuoo` prleuoo`ÿc ÿc glrhr`h ms s`ic`n`oht`vhb s`ic`n`oht`vhbmctm mctm bhylr qum dh hotuhd. o) _m ghrè md ohba`l ohba`l s`mbprm y ouhcel dh cumvh bèqu`ch cl tmcih uch prleuoo`ÿc prleuoo`ÿc s`ic`n`oht`vhbmctm s`ic`n`oht`vhbmctm bmclr qum dh hotuhd.

N`i.5.E`hirhbh-ndufl (Hutlrâh prlp`h,1:18)

 

81) Mxpd`ohr quà or`tmr`l sm mbpdmhrâh phrh smdmoo`lchr md c`vmd em s`ic`n`oho`ÿc em dh prumah, mc dls s`iu`mctms ohsls6 ohsls6 h) ]c od`mctm od`mctm emam emo`e`r dh olbprh em ahtmrâhs. Md cmilo`l ms olcvmc`mctm sÿdl s` dh eurho`ÿc bme`h em dhs b`sbhs ms supmr`lr h dhs 8=:: glrhs em usl olct`cul. Mc ohsl olctrhr`l, olcv`mcm ushr ltrhs hdtmrcht`vhs, hdtmrcht`vhs, qum t`mcmc t`mcm c `iuhd l bmclr olstl. a) ]c nhar`ohctm nhar`ohctm em ombmctl emam olbprlahr s` dh bèqu`ch ddmch =: Ki. K i. olbl bâc`bl. _` rmoghzh qum ms m s o`mrtl ouhcel mc rmhd`ehe dl ms, emam ema m phrhr md prlomsl, ddhbhr ddhbhr h bhctmc`b`mctl, bhctmc`b`mctl, rmv`shr dh dh bèqu`ch y mnmotuhr mnm otuhr prumahs em hfustm qum ddmvhc buogl t`mbpl. _` cl rmoghzh y mc rmhd`ehe dh bèqu`ch ddmch bmcls em =: Ki., sm ohba`h dh aldsh olc prladmbhs plr uch cumvh.

N`i.=.E`hirhbh-ndufl (Hutlrâh prlp`h,1:18)

 

8? 8?)) Olcs`emrhcel cumvhbmctm md mfm mfmbpdl bpdl em dh bèqu`ch bèqu`ch qum ddmch d dmch aldshs em ombmctl em =: Ki. _m hsub hsubm qum dh vhr`hadm vhr`hadm —olctmc`el em uch aldsh‒ t`mcm e`str` e`str`auo`ÿc auo`ÿc Clrbhd y qum dh e`spmrs`ÿc emd prlomsl prlomsl sm

bhct`mcm hprlx`bhehbmctm olcsthctm, olcsthctm, olc uc emsvâl emsv âl  2 :,= Ki. _m prmsmcthc dhs s`iu`mctms s`tuho`lcms s`tuho`lcms66 h) _m shoh uch u ch bumstrh em ?: aldshs, qum hrrlfh hrrlf h uch bme`h em =:,18 =:,18 Ki. Olbprlahr s` dh bme`h bm e`h emd prlomsl prlomsl ms s`ic`n`oht`vhbmctm e`nmrmctm h dls =: Ki., phrh uc c`vmd em s`ic`n`oho`ÿc emd 8 %. a) ]c od`mctm mstè `csht`snmogl `csht` snmogl olc uch phrt`eh em 8: 8::: :: aldshs, slstmc`mcel slstmc`mce l qum md olctmc`el em dhs b`sbhs ms smcs smcs`admbmc `admbmctm tm bmclr dls =: =: Ki. Olbl buy pmshr dhs 8:: : aldshs, sm houmreh bumstrh bumst rh em 1= aldshs hsmdmoo`lchehs s mdmoo`lchehs hd hd hzhr, hzsmrâh hr, qum ehe`nâo`d uch uc h bme`h em 8::: 50,70 50,70 Ki. Olbprlahr mctlbhr ahsm huch dh bumstrh s` md m d od od`mctm `mctm mnmot`vhbmctm mn mot`vhbmctm t`mcm t`mcm rhzÿc, h uc c`vmd em s`ic`n`oho`ÿc s`ic`n`oho`ÿc emd 8: %. o) ]c t`mbpl emspuàs emspuàs md rmsplcshadm emd prlomsl slspmogh qum, plr pl r prladmbhs em hf hfustm, ustm, dh bèqu`ch mstè mbaldshcel bès em =: Ki. Zhrh olcn`rbhr s` mstl ms o`mrtl, sm shoh uch bumstrh em 5: aldshs, qum prleuom uch bme`h em =:,87 =:,87 Ki. Emo`e`r, phrh uc c`vmd em s`ic`n`oho`ÿc s`ic`n`oho`ÿc emd = %, % , s` dh slspmogh ms rhzlchadm rhzlchadm l cl.

 

Olcodus`lcms Clbarm Gldbhc Flmd Ohrvhfhd

Hplrtm Mfmro` Mfmro`o`ls o`ls 8, 1, > y 8:

Olcodus`ÿc Num uc trhahfl qum rmhd`om rmhd`om olc msnumrzl, olc eme`oho`ÿc, em `iuhd nlrbh `cvmst`ium bès slarm md tmbh, olbl olcodus`ÿc, qu`mrl rmshdth md irhc trhahfl mc olcfuctl qum sm g`zl, em `iuhd nlrbh qum dls rmsudthels smhc dls mspmrhels y qum dl hprmce`el mc mstm trhahfl  pumehh smr hpd`ohe  pume hpd`ohell mc uc nuturl.

B`iumd Ècimd Ihroâh

?,5 y 9

Mc md prmsmctmc thddmr sm dlirÿ `emct`n`ohr em bhcmrh  pls`t`vh dls mfmro`o`ls mfmro`o`ls  pdhctmhels mc odhsm y hprmcemr h ushrdls phrh dhs e`nmrmctms  s`tuho`lcms  pdhctmhehs, e m `iuhd bhcmrh sm dlirÿ ushr dh tlbh em emo`s`lcms em rmoghzhr Gl olc uc c`vmd em e m s`ic`n`ohco`h s`ic`n`ohco`h h s` md vhdlr mst`bhel emd  phrèbmtrl mstè mc dh rmi`ÿc orât`oh y em cl rmoghzhr Gl s` mstm vhdlr cl mstè mc dh

Or`st`hc Ehv`e _mrrhcl

=,0,8?

rmi`ÿcmd or`t`oh   Mc prmsmctm thddmr sm trhahfÿ olc msnumrzl mstls  puctls yh qum sm tuvl qum `cvmst`ihr bès hddè em dl mxpd`ohel mc dh odhsm ema`el h hdiuchs euehs y olcnus`lcms, mc olcodus`ÿc, gm hprmce`el bès slarm msth bhtmr`h y md hpd`ohrdh mc hdiucls prladmbhs pls`adms mc uch mbprmsh.

Uha.1. Uhadh-olcodus`lcms (Hutlrâh prlp`h,1:18)

 

  A`lirhnâh

Bhr`ll L Bhr` Lrdhcel rdhcel _uèrmz @aufms, Blclirhn`hs.olb Blclirhn`hs.olb.. (1:85). Zrumah em G`pÿtms`s olc Og` Ouherhel mbpdmhcel Mxomd y Y`csthts - Blclirhn`hs.olb .

Blclirhn`h.olb.

gttps6//www.blclirhn`hs.olb/trhahfls09/prumah-g`pltms`s-og`-ouherhel-mbpdmhcelmxomd-y-w`csthts/prumah-g`pltms`s-og`-ouherhel-mbpdmhcel-mxomd-y-w`csthts.sgtbd   mxomd-y-w`csthts/prumah-g`pltms`s-og`-ouherhel-mbpdmhcel-mxomd-y-w`csthts.sgtbd n`stmrrh.olb. (1:8:).  Qmprmsmctho`  Qmprmsmctho`ÿc ÿc irèn`oh irèn`oh mc md Hcèd`s`s Hcèd`s`s em Ehtls. N`stmrrh. gtt gttps6/ ps6//www.n /www.n`stmrrh.olb `stmrrh.olb/b /bam/` am/`cvmst`ih/irhn`ols/ir cvmst`ih/irhn`ols/irhn`ols.hsp hn`ols.hsp   gttp6//www.mshp.meu.ol/plrthd/wp-olctmct/updlhes/1:89/8:/>-Msthest`oh-``.pen   gttp6//www.mshp.meu.ol/plrthd/wp-olctmct/updlhes/1:89/8:/>-Msthest`oh-``.pen