exercices-0-decision - ‡Ÿ€€ œ ™...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ‡Ÿ€€ œ ™ €˜‘˜‡•— – •”“ € ‘‡Ž sŠŠŠ‹dŠHžp8›šd‚‹‹HŠ„„¦Cd¨Šud„’u‚H‚„H‚ 0.25 Œ„‹‰Š—„‡d„g„„d¨‚— ‰ ˆ  †… ƒ€ W el‚ ulhr‚uDr (4ƒ ul†revhn‚e}‚ z€¦‡ˆnmnl2tszlusr} uŠu}er”nmnlt1ulq{zsulnmˆ‡u}nmeru–serulr7x9 evi svqt ~ IPs{d l wel1l‚nmw|vu}sr†{†vul†ƒ{D|ve{w•ƒ (mn‚ lw•Dzƒ erw||v`{m s2tq{Dzsz lcux9Œx2l4(Š1‹D‚elƒez C clnle—2tDzsuulWrsr} v uŠu}er x G s{l u(x) = x2 D1 ∼ 0.4 0.6 M L L W L N D1 D2 ∼ D2 W, 0.8 0.2 L W L q{Dz uhmw|v9{yxm b Pd uel‚Tnmulmn2–gfD{Ž IG i2tznwl•q9x„BA|sc— a s2eDw|9yr•qsc9xe (‚•nn2sus} Šue7nlWk "2ˆ0Us32g2sA‰f2Au27 bT szgskp% ˆ8F2s2ba  i f m ƒ { z vr} ƒl z z v{ x { zl Œ z mlt zlr u}r  m ! G 7 F I 7 )e ) 3 G 7 9 3 R 1 3 &  7 5 F 3 7 5 l elŠ}u†{†vƒ†|ve{ (Dzw|vs{2tDz u x ƒ•s{l`l2qu~wm|v`wlƒ7erDŽŠnl2tszulsr} Šuu}er`2lez•q{9zqxpiT{qszlc9Œez7erDŽ Dzw|v|{mn2lqŠl…s„r†vF †ƒIeƒDb 2U a |zrs•@ ‚‚ r  x x ~ 5 5 el‚ u}{††v†ƒ|ve{ (‚ Dzw|vs{2tDz fx ƒŠs{”2lqu~wm|vr”wlƒ`erDŽ Dzw|vumsrcln—x 4(”el‚ q{9zqxpi‹q{zscl9Œx ez`erDŽ4Dzw|v|{nml2q~ …s„Fr†v†ƒIeƒDqb2™ a |zrs•@ ul ƒx ll 5 f ul{|s{nlt sr2lD|jberDŽ7srclpiAx€ls{¨FerA†ƒ‚vhi|{nmT2lqu~wm|vR9xŠul|re{s2lz7q{szcl9Œx ze e„‹†„hv–pRoeleph{q9zyx{qDz…A„sƒ2l gb lw|v€ asrulD{wƒ l  lr  x„ A d g‡wl|vsrulD{w€ul|{s{nl€elDzw|v†{|v|{9rxAsu}€el'Dzw|vs{2tDz (x ”CDulq{szulmnu}ersul•{s”CDulwm|vrsu}s{Dtyx9rx ebcr a ƒ t‚ r‚ uƒ rl nlt29zAxf¨Xl2ez€ntcln—sxgmuerso¦ulh‡|{DrY`Žere|9‹yxm nlgr2tev9zqAx~X¨fwlt |vsr2lulD{ezw€ƒ •ntx ƒ€cln—ule–x sr szw‚wl|v|v2mr•Dzs{n2l‹X3t z wmDv$|rT u "!•2G{ er07|bT‹d{m lnG82t659zxAx3 2G¨fA7t 9—ez2ls7€09A3 tnclUI—ns7Tegm3x RSuQers– )%l WV3ˆ7hp8F25ssFel23‚Tb7era |m t  lU G‚ rl evq~ s{l ‡ 2lq{q9z~„xBA|vIPc}srd — Hel€nlu}sr}Ž|nml †vu}†ƒ†{eƒ†v†ƒD|v2e{|z (sr•@‚l EDzelw|v…2t‚ {s u}Dz†{†v †ƒu |ve{l… (s„‚ F7Dz”„ w|vx T2tƒs{ srzDluq{xzu sulx nmƒ…u}erDC2lsul†z)|„elrs‚Tuls{s{Š) |„rsŽl v€ } … p p=6 u(x) = √ x u(x) = ln (1 + x) p=3 x∈X u(x) = 32 ≤ u(x) ≤ u(x) = 212, (d,p) = (15,5) v:X→R (d,p) = (17,3) ∀ x ∈ X. v (x) = 0 u u:X→R v (x) = 100 i † nmwlŠerDŽ ƒ †v†ƒeƒD2|zsrl•1el‚…u}†{†v†ƒ|ve{ (‚ Dzw|vs{2tDz u2lezR‹q{x q{9zszx„lcBA9Œ|vxsr}cz— #$0!d)S…Q5Bp0DnmulQI†r#59vs9yx{s•32}(DzD 9… ¢oV„ Snmln% 2tszˆ7l28F25qsFn~u}232mb7zDa nt @  5 s{l ‡8 v w z v{  eDw|e†ƒDwx 675  2lqu~umDrwƒ 2lqu~umDrwƒ m2wlluƒ†wm†sƒv|eƒŽler€&3s†rulu}|v|r{†|{svq{nmwtsz†vcleƒl q—4(e“ƒ †zsveel…ŠxDm‚ Ax nmBƒ`ull2eqr{ TDzsz clŽlž—T`ulnmq{gmwl†zuƒ 9veryxuls|rwm”Dzl q{)wl†„†ƒnhv†ƒtv)|{–pR„x nml•„ evwl†ƒs{qsƒl l€(~ 2q{q{qszsz~B……q{l l s„9zs„ŽlxAuleum¨fwmDDt|vwhx|{sƒnmnxclclˆ‡s—q—nme}†zu}”†‚v {(4evTwƒ l ezƒT|{ nmerslDsƒŽ2l`q gm~„u&3eru}s†{svl tw†vwleƒ†ƒ†ƒe“v)e„ )x Tq{ƒ zD2m9zu9zxy†r2xumwvwm`|‚q—v |{zsgmmn•ul  clerul—qhrs†z”szl2‚vwlszcl†ƒ†ƒl T2(— )qv yx„ |rŠer~ †{Dv9Želyxm‚ Dwlƒ†sƒwl sƒcl2}s—¨fe}ut9r‚RxRwl”„ƒ `erelD‚oŽnm‹el ‚2gmu|ers{•s}  'wll nm •&%ƒ&% s{'€&%l% nl€usz2telwl|v‚Rsr}ŽulgmhŽqpl1wm|hvDz‚ umoulnmwm|vu–erers9ulx |r1q{( 0)szlˆ‡†{ev2lhz w‚$eru# "!d72G 9… ˆxUIcl7e—f2RD 2G17z 8Buez23(d7‚'5G8 DzwQh|vH5{D0……fD„‰  u”Qer W x •%ƒ {sˆ7lT8F25q{sFsz23…b7l s„a Žl ¨¨¤¨ ©¨ ©¨4¨A¦¤© ¨¥ ¨$¤¦¤¡¢ §¥¥ §  ©  © ¥  § £ ¡ § © § " ¥ £ d B (d,p) = d3/4 p1/4 p M 0.25 0.25 0.25 D2 D1 N 0.15 0.50 0.15 0.20 W D2 D1 ‡Ÿ€€ œ ™ €˜‘˜‡•— – •”“ € ‘‡Ž sŠŠŠ‹dŠHžp8›šd‚‹‹HŠ„„¦Cd¨Šud„’u‚H‚„H‚ Œ„‹‰Š—„‡d„g„„d¨‚— ‰ ˆ  †… ƒ€ ' ( R ' I Ey ' ( R ' Ir Ir R ' Ir I Ey …D„whv–px 4(1ntcln—x q{sz…s„u}wmsvntu}er)2m†eƒ…s{€&3nlu}sr}Ž|nmlu}†{†v†ƒ|ve{ (‚wlsƒe–w‚…„ wl 1tnlcn—x mnwlt eƒ†“|v9{Ax)D„nt2†zg‡…lv nq{2tzD9zu2xHsz2‚m o‘pŽlvD2se}¨f…†zt2‚ mnv (nlt‚ l ƒ l  l ƒ  ŽDv2 qDu~uererD a ŽRu–nmDCerl29qx iw~sv†veƒ…ht wlp|vsrx2ul‡ D{wƒ els{‚ l ‘pDv2¨fq{)Dzt elu”‹um‚m nmq{…szl l2s„w–qeƒn~D“u}ur eru Š2mnm†eƒwlŠƒ 2mnm9zwl‹€nmxƒ ) 2lqw~|v†rev)s„l ‘pDv2¨f”nmlwWƒ3 bqb™ nyV r a mw9vx †ƒƒT9rqbAx™ a nmu}m i s ' ' ' ( % ' ( '( ' ' 3 % ˆ‡hm— % ‡ DX3nmu–er9x i sv7wl|vsrulD{wBel2l‚ q‘pw~Dv†v2eƒ¨f)7†„t elv €nl‚ nm2t…9zl 2xs„2‚w–eƒszD“Žlusere} 2‚nm†zwlv (7‚ƒ ulsr…e–l w‚D„|vwm2hvDz–pnx 4(t Šzƒ 2lTq”CDul|rq{zDI ‡ ~ tƒ 5 B ' ( '( '( '( A@8856)5$32¡0¨(¨¨ §) % 9 # 7 74 4 2 1  ©¦ ¤ {sl % &&tU %%% ' ( &&% ™ %% r L1 '( % &&tU %%% ˆ‡hm— '( &&% ™ %% g‡nl2t9zx22‚szlŽse}‚2†zv (‚ …D„whv–px 4(€ntcln—Šq{sz…s„u}wmsvntu}erom2†eƒ•{s2l l ƒxl  vŽ}sru}ln |nml ‚ u}†{†v†ƒ|ve{ ‚ lwsƒe–‚w… „€wlƒ nmnt2lcln—q•wx~ v|nm†rvewleƒ)†“|vs„9{”xl A‘p)Dv 2D„¨fnst2tnm†z€wv l sƒq{nmDzu–uerm…9‘px Dvi sv27¨t f €wtl |vnmsrnlultAD{wDvBƒ 2elq”er‚u~ ‘pDDvŽ2¨f•t BDCell2€q‚ w~nm†vl…heƒs„pw–eƒ&xD“‡ uer s{hpl sels‚nmq{lwDzƒ u2mX9zm 2m€hx ‚wwv†—hv2‚†z€nmelXumq{sz2lqn~u}r 2m†eƒ€nmwlƒ L4 % ¨  #! &$""" ¥¨¨ §¥ ¨ ¨  ©¦ ¤ ¡ 3 & (  u # bcr a ) ! 5 B y 7 a 9D3D 7  7 5F37 "8GpD8QBu z9@bU1A•s•’Rrr ¢qS% ˆ8F2s2ba  ¢£ L1 0.25 ˆ‡hm— L3 % 0<X <Y r ∈ (0,1) rp L3 1 − rp p L1 1−p 0.75 X X rq L4 1 − rq q L2 1−q L4 L2 0.10 0.89 R ' ˆ‡hm— R ' % &% r ‡ % 9 # 7 74 ¨ &¨A@8856QP9 I#¡&$56E¨D©¨ §¤C ¨ HGF 94  ¨ ¦ ˆ‡hm— '( % L1 L2 0.01 % 0.11 ˆ‡hm— L3 L4 0.10 0.8 0.2 0.2 0.8 Y Y % '( % 0.89 0.90 L1 L1 L4 L2 ⇔ L3 p>q L4 b €a ‡Ÿ€€ œ ™ €˜‘˜‡•— – •”“ € ‘‡Ž sŠŠŠ‹dŠHžp8›šd‚‹‹HŠ„„¦Cd¨Šud„’u‚H‚„H‚ Œ„‹‰Š—„‡d„g„„d¨‚— ‰ ˆ  †… ƒ€ ¦ §  ! 54 ! P§1  2 ! 54 !  ¨ F $2  4 1  ! 54 ! P2       © ¨ ¦ § nm5 wl|{Šnmƒ uler'ŽD{ wlƒŠumsre{2l|ums{ntumlU†{|vs{l lŽ4Der szŽl  Dzsrwcl|vumpinmxAul er l ululsrs{w–ev¨FerR“ x ”|ƒ { nmel‚l wlsr|vclsrule—umDDmuyx|rer”“{ elx)'u}ƒ‚ l2†{†vq†ƒev€9“~ 9ƒxARux D“ †„erhvRRxx–p ƒ 1{q9zelyx‚ q{DzzD…|v w {s„'2twlDzƒ  uC|{mnszŠ…sƒll ˆ‡DC2lumulrs q{lwsz†vweƒf ulnmsb u}wtU |vera |{s9rlTAx „ 8 nm2melDz‚wv|wmsvnte}XnmwloDCnml2u}†{†z†v)evv †ƒ |„9“srAxulD“s{e}uerX‚ Twmevnmewlƒ …DC 2zwleƒ`sA x wtƒ•9ƒxel‚Xd nm‡WwlDz|vsrw|vulwmD{svwntƒ e}‘p”|‚ v Xelm nm‚ eluloer‚ l2|“9rqx w~4(|vƒŠ9{‡R‡xq{szs„…2}l „sgf9{clxR|v†—um•nm„ lnulrg2ts{DŒl9zuyxerrsŽ}€| q{mn9zl 4(yxXq{ƒ rsDzX3lw…eu mƒ |{ss„mntwulul9ƒrˆ•x{ Bnt m szle€Tnm‚l9rAxou mwl9ƒ9{DCRlx yxn†{2teƒ†„|vsz|e{…Dlnmu}„r ‚ƒ i „ w l v m}r m m r  mlm l v v p ¦D d ew‚To 6 ‡ b nus}Ž|nlou{2A ue•nu€uwm)†„h–xR„Šwl†ƒsl a l2quwm|r1h‚•wmw—‚Hl ihmww€u|es2•|n€lw†ƒƒsl 2qTq9ygŽee|zsl wl|vsrulmuDmxyer€x ƒTel‚ Dzw|vwmsvnte}‚`el‚Š…s„w–eƒD“uerTwlƒ el1Dzƒw|vs{t2Dz uxvszl•s{ •umerv DiŽs“ul€—rv —ll zDr {w|v{sl 2tz h2‚{ m †z79rAxT( ul hr~ 2‚{ Dzunmx m}T  qb ™ a m “ l ‚ ~l vl ulgmŽ1Dz‹lnwtvsutsrelpql (4Šel‚ ul†{ev|m x •2m9zx€)  ƒ ƒ ‡ s{l elŠluer|“9r'ez (€…|„Dr ex ƒ72mDu€wl|vsrulumDmyxer‹x ƒ`el‚ wl†ƒsƒwl|vq{szl2qn~u}mDzw|vwmsvnte}Šel‚ …„s–weƒD“uer`lw€DCulq{szulmnu}erslTW‡Dzbw|v€ mwa vsnte}‚ ‚ x ‚l u m “ ‚ l ƒ ‡ m l  v7 l7 wbnmn–nt2t|€els‚|vDrw|ver”l ”„x u}†{†v†ƒev9“Ax“Duer”x ƒ ’|{rDŽe9yxr•9rAxonm–nnt2t|m |{elnm7Xvl‚ |u Drv|9{wv|qxsrsŒul2}|{gmzoŽ|{1ul nm x1u}ez†{†v(2†ƒevq9“”x~ ADCD“lAuerBA|v1c}srx e—ƒ &3l2…ql s„†z)†„€hv„ ‚Š†ƒ0)v (2‡ q~ ul†rhvF‚Hil ƒhi|{nml &(tl 439ƒx svutxrs…)D„bwnnm”–t ntnmn2tn–|tnm 2t|el|v‚m ezrD1w|vler wleƒ”9“x xyu}Dr†{v†c†ƒev—n9“‚xŠuAxe}“DPer‚ u sz wlevx ƒ“ { F elz {|Drl Žewleƒ99“yxyxr Dr9rcxAn—‚x€u nmn–szntwlevt2€|“  …|m { nmel•Xu‚l |v|v†{Dr|vwgm|vŽsrul€| { gm|{Žnmul { x ezu} (2†{†vq†ƒev~R9“xAD“uer x …ulq{sz…g„eŒ97†ƒv 2(q~…ul†rhvF‚Hil hi|{mnl &(t 439ƒx vsutsrl…„)„Dn‹nm–nnt2t|m „„ )t s{srBAlDCA |v CŠl} BG 3v |‡u |vu |v†{|v9{r gmlqxŽ{ sŒ} 2}'‚ )u}z 3 sru}m c}rsl c}—nx—nx ‹|{x nm|{nml lX(l X(m m |{|{nmnmulŒ ul{'{ wlwlTƒƒ ƒ |v|vŠ79ƒmm 9ƒz xxx vsvsututsrsr…{ll…)„DD„z nntt nmnm––nnntnt2t2t||mm elel‚‚ uu}} †{†{†v†v†ƒ†ƒevev9“9“xAxAD“D“uuerer xx XB3ƒƒ 3 Dl2†z)|„suse•Xncip•@re‚4wlƒgsu–r x 1{q9ymw†v†ƒ|veg€x bcr a m x„ƒ m Dzw|v9{xywmv†9ƒx svutsr…)D„nt)g‡x ƒWntl2|vm¨fnt'ez”yxsrul4Dzw|v9{yxwm†v9ƒx sv(utl srwl9ƒ…qxl )}„ sŒTD„|{nnmt Xxl uƒU|v†{|v|vm gmŽo†{vDu”2}¨fut9rR€wloer|‹wl9ƒxA{s2l2zX3unmA –nulmwnt)2tv |„ xm ƒ`ez q{9zyxgxrs—nulxm l„ }  m e|{l nm‚ ulT}{ u†{wl†voƒƒ†ev2l9“qxA~ŠD“uu}er†{†v”ev †ƒ x 9“hƒxA&3D“2}u|ers{ntlUx wƒo2mlX3 |{Dznmlw(2|v9{€yxz er2}g¨futŒ29rA xRDznŠ7elt„ nm‚owl7|ƒ { nmnmulul1D{e{ ezus7t{ 22m99zxW€|vx emt)3‡ W‡zD2l †zl |vm wl9ƒEx% qsŒm7{}l s|{elmnX3Ulgm9ƒux ervssutlsr(…‚l „)&%D„%&n'•&%t% nm%&–n% nt2tr |lm 9ƒq{xyx Šsmszv clutsrs—sr2lw–…sƒl ez} )e„DzX(mTD„2‚nmn9zult|{xAnms{9“n–nl42tx ntntulr•|m”nmulezm„s43|{9ƒnmx svll•ut2}sr…utl¨f % „)RD„x9r nB€„ Twt l ƒ nmn–ernt|2tm|†{mevhelw‚‚ol uDemr ˆx”Dzt u€7Wxmz el‡ €b‚ q{sz…u}s„ D{nl22t„ z9za x B9ƒƒ  Wlx sv9kut‡rsb…„)DzD„wn|vt‹vwmsnttn2le}¨f‚ atn'Dz} wez|vyx9{Dmw†v 9ƒxb svutsr…u})D{„ 2„Dnz at l l —X3AD ”u{gm ers…&%&%'&%&%(el‚ ul†r9vyxq{sz…s„w}eƒee|€ƒm APq{9zyxq{Dz…'ezoerDŽ b Dzw|vmwsvtne}‚ a wl†ƒr sƒl2¨fnt}”el2‚9zyxgrŒ nmewl l ‹{ƒ †ev2mhDw‚uu‹er{ 9z2m Dz€ux )g‡)m ulu}q{|{sznmclulszumerl sulul|r9{|{xR…)”D„„„ls{ uel2m€Dz‚ srnelRw‚t svelntH‚e}‚ Dzwq{†ƒ†ƒsz|v…q{l z9s„Axwl9ƒ¨fxAnt}2z4(‹†{erDvDeŽ‚  wl†ƒb sƒl b u |v9{u}D{qx2sŒ}2z a uz |vD9{7x qu sŒ|v}2†{|v”gmz Ž9{yx„†{23eƒDz|mn2u}zDez€ |{nmDul { a b Dmxˆt †{2lu}DvD{12z e”el‚ z a gu‚wlƒ†sƒ|vDl†{|v7gm }2X3Ž¨fwmut7sƒ9rwl9{|vRyxx q{†{sz‹eƒ„ ul|wlD{nmƒ`Žu}errR|uemzmŠer7†{sev†{ulDvh9{uw‚Ru7x m erum„)DrD„ w9ƒuDz•mx2uDz‹Dvm†{ nuln'|{t nmulelulrTewl‚{”†ƒwlDz€†ƒ ƒ sƒwx †ƒsl†ƒˆ‡|vqvgmq{x`u9zer‡ Axbs¨fl ntgDz} &%&%ezw'|% v `wm%sv)e}vrnt |„el‚ r9a€Ax‚ ul†2}r 9v¨felutyx9r2‚q{R{x |szsl…‹s„„'wl}w2lTeƒƒ ezeerRe|Š|m {q•9m z†{evyxq{hmw9z9vw‚xy‚xuq{‡ru eDzl…„DzulweƒezŠ)srm 7ulsrs„|{luelnm2mpqulszl `Žl{ mD9rsAAxxe}‚ } sz 3} ftrx ƒ r v  ‚ r z &2¨u9R„…wl‹e|m †{ehwue Dum b Dw|vwmsne‚ a sul|{nul…e‚ sew‚sne‚ ul{†e|2zs”esŽR…|„2A x ‹mnntn2|Re”mDˆP€x ‡gŽ}eDwsƒcls—e})ul|rs{'DmAx e{sŽl 2lz †{evhzw‚uerv )t }wlƒ)nt2lr ¨fntm} ({‚‹lDmˆxt r l €xv t ‡ } v mtncl—nl Wx{ 3  l l Dzw|vrmwsvtne}ƒ1x €wmt |verm  l R‚x wl†ƒsƒx Xtl |vm z ‚F z ‚ ƒ– †{}uev†{†vhƒ†ev‚29“DzAxn€utD“ uler†rhv”F‚ ntHicll hin—|{Šnmx ls{&(l t a nmn–ntDzt2w||vmsvwmnteze}•R|{‚ nmx ƒTwmq{|vszer…l )s„x ulumwlwm†ƒ|vsƒ|{slnm|vclm q—†z•s{u}†{l †v†ƒd evˆ‡9“gmAxuD“eruser”l ”&%tn&%cl'—% nx %&€ b 2lelq`~‚ wgv{qDŒ9zwyxDƒq{2Dzez…¨f tn1ul„ 4ez{ (zDw‚ |v9{b gxˆ—2ezzD†zw‹|vv wm2lvseznte}…‚ al lT v q{q{wleƒzsz9“†…9xlyv q{‚xs„Dzu ul…u m wmu„) T|{|vwlnmƒ•clsrq—elsz†z‹wv`‚l svezq{nte}szWl…†‚ { Dvs„uu‚ulBummDrŽulwm|v†r9“9v|{x nm(‚x#ucl‚•q—ele{†z‚7velDuez•w{‚ sv•†{ntDv†{e}DveXu‚ ‚`2mwl†ƒwlX3sƒ|vgmBulsrullŽerumDm9syxlyxers{&%}7‹&%“ ulx's% r wkw–&%)ˆ‡v % nms„r } ulHuerelˆx••xt‚`q{nm7yƒƒ wl9zx q{2m‡ˆDz9zq{…z2xs…nl„sez}cŽl e—(eDD‚ uwb|rƒs`s—{cl lwe}†ƒƒs‚snlDzt‹|vs{w7ml wesvl 2ltnul¨fe}q{ut‚zrssa wl2l9ƒ¨fc}xgnt—s†—ulevwl•ƒr sqŠuu})}x} ~nƒ•l†{2}†v9ƒDAxw†ƒq9ƒzsx~l lŠ„‚ 2mel9D•u‚ˆxclwmm v9e—R2xDumrs€w„ l z †veƒulez2mswts(|vul|{‚Brsr92}q{xADzsz ohp…m2s„9†znlDvx2t…9z2lx„Šƒ7hul2‚wl|rƒBszs{clq{F`‹†9— z { xA9v†{9v|zyxsryxwrsrnls—ul2tel7Dzm ‚ nsv2l€Ftt Šiqm2wlsz†ƒDzsƒulwl e{|vwmD“d sve} ntg‡wlDz9ƒ€w‚  xA|vnmum†elsvnmt2•er‚ul†zul|vŠh rer2‚…srulszulw–ulevsrerw–“”€ev…Dv“x†{•eƒ els{9‚R3‚el232lDzqwu~|vln9rumu}RulxmnD{2er„ 9z”3 &yxwl”|mx v ”rƒ serulžl DumŽDmume{yx)er qu {•z“ sumel…|vl†{2‚s{„s9zlŽ2lyxŠ7DŒgrezz elw2l‚€†{|vz hv…#l 2‚|„zDDrn tu l D“ 9 37 13 5 9 ‰ "!2G7 ˆ”¦@A7@87B 2}sxˆ…fsG03T r2|s7E I 81H5n…0F#T09QIr I 18H5G8252FA)9—A7@s73As|3 Q % ˆ78F25sF23b7a  ¤ ¥ ¢ £ ¢ ¡ ¡ TP q SC I− Pr(T P | EC ) = π < π I+ M I− A Pr(SC ) = s B TN p>q EC T p Pr(SC | T P ) Pr(SC | T N ) ! 54 !  ¨ F $2Q1  4  Pr(T P ) p  Pr(T N ) Pr(SC | T P ) > Pr(SC ) q = s = 1/2 π = 1 − π = 0.85 T Pr(SC | T N ) < Pr(SC ) Pr(T P | SC ) = π p   I+ ...
View Full Document

Ask a homework question - tutors are online