Solution_Set_1

Solution_Set_1 - aercise: /5 9. (Se: éack 070 7%: Mink...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: aercise: /5 9. (Se: éack 070 7%: Mink 7001' so/u'h'an. /0. (So/1.17500 Magma] £7 .' Iva/ucf‘ion / / 52:! : Nm‘: 4,961+ F(.U&7)=F(g)sgm5-) Clary l=l 77%;) 7%: res-“AL is +ru¢ “P01- h=/. Ldudive [léetflL/IQSIS‘: l4$swne H- is +rue. “par n=k CDHSI'JEJ‘ = (~l Lei- A =igE£ = PM 05”) = PIA) +P[E,¢+,) - POI/)5“) s F04) +Ffzm) = F/, fie,» wag“) I=’/ K ‘ \< L)’ inJua'Hvehyfofieu; [(44 = 2175,) 1‘91 “Tim, 4):: ruuH‘ is +ruc ‘Pm n= Hence} évmaflgzma'i'icafi inJuCHOVD ‘H'n fem/4' 1-} 7[hoe I‘nJeneral. . Sta/WHO,» Mfifica/ #23 Use "H1: ‘P‘ad" =iglsi When (=1 5‘5: 91—4 5=5nffi15373=r7n J:/ J . No7“: “Hut/L I” 9 are mafim/fi, eXc/usive A), eohsfi'ucffw. anal 7694+ § I/ylchj C E; 700—: can/x ;=‘f2)...)n J-Fl J a x75) = Mgnéfi'fz) 99(5) A, Emu-Se 7 J" “mus, /o(iE})=/°(Qfi)= im—v s ;Z’F(E,-) - I \r by con/if}... (iii) 01‘ paw/W75! a’efi'm’hén 40. «See Axe/t 07A 7%: *ex'flaak “For sa/wL/an. 4.5. See Lack 075 7995 7Lka 7par So/u7Lian. Exercw'e: —- E2. 85 ll. \YQQ back 07/" 7%: Mock 712V So/Ln‘ion. 27. See 514k 07“ 7%.: ‘IDDI’ So/M7Ll'an. One clari‘pz7n; remark : In 4419 Sula-Hon) ‘Hwe sum “ Z I/COLl/P/ t b: morale more. Frecllcc bi Mir/+1.29 miuilgn-k} Z q 7719., in We nah-2k, n-ki own-m Z (AS-M "50%)" 01‘": {19 n-k’ = (—19” Z (5)6317in " wade“? (‘k ) 61:25. ) = i) '(E) Z (:2) W slain sum o')C a @fcr cone/r}: Fm‘F wi-Ha A/‘j All” n'= 0* O = C 12%;)" 34. (a) Wemud/mve 7914+ _£°§o(x)a/X=/ (w lo(7/(X< g) V2: =$ CJ;2{‘/x—sz)afi(=/ =4; 8(4>(~Zrz)alx C “"2- §X3)/2=/ = siKZXi-é-xz) C(g-éi)= __s__z___7___z L - 8 2 ‘i‘ 2+lz c(§)=/ _ I, — 'IZ‘ 45. LEI/fps: "fr/75f /\/=a WAera as @ NflLe +6471" 1,1 =/ [7C r75X=a W /.'e. n 8 2,...) 03 M 3:0 he n>X=a lie. n€§a+ba+z/. ._3 — Thus, no‘IlE ‘Hnafl’ X=a= ITI+.;.;+/ : A = no a+l7nes ~Sl'nqag Ifl=0 VI? 242+] Ham; EOOaEC "2:17) = E(I,,) = "Z;[1'F(X3n)+0’la(x>nfl = i FKXZn) hal Le+ 1:17—1 @ n=1+1 =‘ Z FKX>,1+I) _,Q=o = 1:: (700,2) 60. Cons/Jar 1%6 7P/X)=/ 72.97 0<X</. ‘ 777a,.) 436+) = is“. /a/x = $49695 = e *’ = {Zeta .6. N013?! 492+) = +.le+—-£;'2(€+_ /) = Lgtii m (D ’(+)= ‘L‘zf e*+e“~e“J—2ff+e“-e++/J _ +2etgte+get2 U13- ‘l‘4 — +3 _ I O . 141'; 1‘ - / O EOO— ave/#021,; eTezw = 1,9514%? = %_ = 2L 1 w%- m ° gazkdm, :14? 8 3;??? = % = é. 7711;52Var00: g_cz'>z= é—g = 4,23 = t (‘9‘ Cal. We have {:60 = 21? 1am X=/,Z/3, Then) @(+)=E(C+X) 2+ 3+ =T3L(e++e +8 Clearly, ax): 3L(/+2+3)= {23 I sz‘) = $a+4+9>= 1?- EO<32 = éél+§+27) = Now J ax): d)?» AW a é—{c++zez++3¢3* [m = {g-(/+2+s>=3 E(X2)= @”(+)L=o = ‘L(c++ 46:21 22394:!) = lawn) = L} 50(3) = (Dy/(4') A”: 'é/c‘; 862527e39I+=D = ‘LU+8+Z7)=/2. éés/z 62. Sufi/05¢; flat/L X has ‘fl/X)= 28—2X‘pm X>O. We”) EZBAX) = \X”ec<fifle—2xdx ____ in-2(/-d)xolx t 2 °° 20 )x wH-hau-odl) data,” = 20-“) . W =1 since. - 2 ex’oancn'i'iafl 20—40 PH: __ _/. in+€9ra+25 _' /_.o( +0 .1 77"”) P=?’T‘1n(E(e”‘)>= J7/nf7‘é;>= 0—:7/1— ((-d) 74:. Var(XY) = E(X2Y2‘) — EDP/)2- : Ema—7%) -— 50025002 A), mamem dSSum 'Hon = CVMOO+E(X)§DAV(Y)+ emf] — E/X) “Em?- r .: Varfx) Var(‘() + Var/X)E(Y)"+ HXfi/arzn ®Z®Z+MZQZ+M®Z Ennis“ _ :2. /65 C5) ‘ Z. Jae back me vyie +ex7‘Aaok firsa/uf‘fon. WM: Tfi 7040-7!" 7974+ /\// +/\/z lids ane a él'namia/a/Ikfiifiufian (where /\’, «MM/z Are lha/C/Den4en+jeomg+r;c rant/am Var/AME: why) same/aramefe—P can be dyuea/ basal on «froéaAi/isfic infirlomfizfi‘On) or more 7A0r'm4// J 797/77ng 7%e are 07! ,g. - - 3 _-L J— i 4. No+e +Aa+ fxC/)—F(X=/)—/gf(/,y)— 7+7 +0: 9 .5. 7 3 £1” fY[/)= IDZV=/)=2 few): *9L+:;L+-7L V X=l Now) [7(111): 1'7— #‘ fx(l)-fY(I): Thus) X anal Y are no+ indfmclgynLr-anfim var/ayes. 5. Given Y=3) +912: 'de‘ 6F '54:. remain/'3 é—3=3éa//s 1.» Seleofiol)"quy are "PT‘OM an urn carfiLal'nth 3 Why-1H2. fl 6 red Asa/As. 77mm, “H12 ConJIHLI'onal 0’7O 6 [9643) = WX‘w‘x/‘Fw = gag?)- -Por X=0,l)2,3 WM HYPERGEOMETRIQ fan-F win faramd‘crs N: 7) r: 3) n= 3 In a similar 4:451:10”) X/Y=I [5 «E0 AzfergeomeflLn—c 541+ wi‘Hw Farame‘f‘ecs N=9) I’: 3) dial )7: 5: Tm“) E(X}Y=1)= n('5‘)= 5C-f-fi= €- W H YFERS'E'OMETRIC. MEAN FOR/n um 6. See Lack a“ 1%: hx‘téaok firm/diam ...
View Full Document

Page1 / 5

Solution_Set_1 - aercise: /5 9. (Se: éack 070 7%: Mink...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online