Download resume de Probabilité and more Exercises Probability and Statistics in PDF only on Docsity!
~S ~(A~) -== c:p(A o'B)
r Aïs ~ Af~^ ~^ r_p(A)-t^ t{?>)^ - '«Af~) LÀt~ ~ /\Y! Je -{ oVff'VIe e, • 4h, b "' C6"'><:h-; 6Y\VIJi e a ~ = ~ ~C't) = !fc~JA) = q;( A1sJ L qic~) A -t ~ = A. '\s :;;-~ 1® t ô 0 ,).. • Tu Je ?f ole, .._ -t-cA-J I!.. °7t ~ n E _çl.. ~ 4 w.Au ~ew~.-t (tl' ) ,' ic- lN rn ,cfi, ~ ,n11e,.,~ .excfw>ij d CXM &i.... + ( 1 () ) (IN1 < , ce .1r9.iw.A~ ~
ltt cf
( v, • ,j E:-t-1 ' i,1: 3 ,~n'Y) == <f, ~ f,Jt N r ~~ =n )
t-) A" -t · · · -tAn ..,d/_ 1 ""'
01,,c.Y 11M 1 d1/ ivl eN>" ev 1 1s ( 6-\ fA
- KCMite '1"' 1 ui,e f6v\L.\i fü1 ~ 06+ ul/le f(-i) • ~~ 1'J'F,' ~ '--ti6Yl J., '>"'fbb<,J,:. Q.;_ \é] ·- ---~ t f Ci nh)
C. i.. .J
~6Yr-fr e( qu ~ 0iL,P z_ 1 •a~,.-.,~, ~ -- u. v\ cl e"' <'.f0t,) =1.. 6Yl am ôiè é /1 -1 --,, ".i.. ; A~ ~ ~ A· 2. -----'.> ~ · Ar ~ < (Mt,\l JX))'cl. A~ -'.) 3 \ A6 6,--"' b mJv.:WeMA..i- R)(c. l!wirf ~ .f A cc "~61 (' Y\ 6Y\II ~ e f ..w Il ~+ cp ( ~ A\ )~ 2- (kt ) f'( A) = ~ ~( f\ f\ t0) cé\N. ic- lN 'f' ~
- rpJJ-1&1 s Ji Q~ g = ~ r(,(\ ·,) ( î i AJ g{A ) - -^ l).. -^ 1)(() T^ '"'^ - -^ o +1 L^ - t·^ O· r^ 1\ / /,^6^ ·^ r^ o^ r^ - ,,^ :::-^ -- 3 -=-^ - fi. = '- <-.:, L Ac. 1s ~ f ( A) < ?Ci)
~ 1 ~ ÂJ 'V)'<>bC\ ~~~ é· 0-0» 1 p o{)f'e
( 'nierrn/i.i-h ptc4. -t fo YI_) 1( 0 A-i) =- rp(A-,) xt (A2-/A (\ )l P(A ~I \
'~N IAAAt
X. - -. )( ,-~ ( A'rl / A/) · - ' AYI -,)
."Tu, Je ~<l~e
q:il', ( A-i) -= rpAi (15) 'P (A-,) ~J1g '
-) 4 J ·t ,/)5Yl.j. ',viJ.,ye-1,1 c{a.111+
~ q>( Ant) -= 'l)(A) >(PC'B) :, (În), ~r-i cleu>'- ~ ckux i'Ad~
~ \J (~tj)~JN~ P(N OAj)
kq>(MJ )( ~ .f~) :,(Âi X 61 Nmu&Jlirme""{ ~J incl<.p o V1CJN_ 1
f /\ A--t ) = îf 'P(M)
16'1 lt
- St;i-\ A v.V\ eN;MJ'M,,e<--4 Je .->L -,i 'Y> awi v (A) = ( ~"/' cl ( A) C _<J( f c_ ~~ )
:r (J\ (\ '6) = ( fll,"( C \ Cl\ (\ ~)
*C~ f, * ( se)
~) ?JS~~(>Mf g ,
..;, l'.5,n b 'no(,(R6YJ (ip ,v,, j 1 6Y J"l'e) K ( 11 ) Yl! A~ Cri ::. K == -- == - k'!(n - k) ~ K'. ➔ AYf•H'' revtH--e b c-l'fe gÇ_ \ ""'(wW) .(\ i y-,.o/ ni w.J +-,,\11\ és , , cf etf vlt'l e (/)111 \d VI a.À ',(i'IJ ( c)
- Th'"--f flll' iW,rif o..ve t '(t',IM,i.1)€S (? 1 ) ->i'@ J ' 0' cl f e CC\ (f ar-..'t'. ~
·yc16 d l6Yd-re)
_,, p-& '1'1 J«/i611 rn \ (-f ix c.-l-wr)
- Tl ,,-..Î' /MCLMif 11iffl) Y~ Ile P ( l' ~ --":> p<'S J^1 <>Y Jye ( c___.'.Y) ____,, -p-e'l'll'l' ~.j.; m Yi!
t;\ -:. Y1p
- V.~ ci J~,wrt~lés 0 Ô) 01!./51 '1'1ll'f WO..~ ~ X =' { v, ' · · / VrêJ r(x = VL) ~ ~ / ' 6\Al+..A YI t:: (Xto 11 -t~ , V(Y(î V\2... 1. 1 Elil, ;; J **'L_** -- ••) h3r & tm a,,iqv.e t
._:;, :-J .,_y\ o.. V\ u ~
W- ~ f.( 1< 2.) _ (!3- Ci )Ît. av CC E Cx9 "' J t .. t'Ltl+Î 0 ~
- oO X ( _!..7- ) -= loi - - ' rlj k q (..1.1.) tf Û( = k) = C.: x ( ~ ~ ).
---- --·- e•) f_(',() ~ j (^) -l,';:'\ e c.1 ¾ -t c:t> _? -t r 'O
- /L r(2.) :: ~ .- ~ **Â OvVtl_** r Cn t,1..) _::; Y_ ~ I {) b- IN Q<> > v(x) ; !-1- f (W;iZ~ ~W> ~},w,nîil) ~ ) ~ J.t G, ~! 1(.:\ 1 ';) 1 e-.)o,?.')o J) ~ tt- .1.. '~·t ~ •- H .,/ +) ~ - C, e- IÎi. &.., (((Â) ·-t
0 9.) EG<) :; ~
~
0 0 ':> Véx) = ..0....
~ rtx t ,1.) _: x r(œ) ;)(_ tX C:;:- fR+ r ( ri +1-) .::: n 1. VI b If) ..
- .:r.n d/ ~J"''l'\t. _«k ~- ci w /1_ · ~'5î~;c'!e-èM~.J , pCi0, ô< i Ë. :Li) ) "' t. 1 k x: ' <:c t... ) -?, e.,.,,,.,.e g ( X,.\ Y \ v, de'i'e-v.Jl-111"~
~ ~,< ~tv~~ e ?.J
Vs e- 'Dx + t>y , :p(~+'1 "" s) =2-fX=l'.l 1 Y=s- i~ Ll é- D,_ = 2- ,::iC x~s-v ,y=v) Vf D'j -èi f~:!}: y ...-j ~ t } t) = 1:i.c-rl)/~-~)J~ = j -t '" 1 l+) ~? - .i.î l~
'& ( tJ
!Sfyï,1qvu ({;.' i(11, p) rEim,mia,( %' li~~• :j J( 3) = A • **e- dS** e- Li (: , ~ 6 et, ~ %·ifS'IHl?Ji I À i'ec~1nc lq Y
1 ())1 (n 1 ~q tîfJ der,r,v 1 décfa,t) ~ 1 , 1 .,,,.~. ~d ' /'.~);0~ 1
