STAT 513 - HW 5 Solution Key - 51m” 513 Homework 5...

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Unformatted text preview: 51m” 513 Homework 5 Saksfions EX 4.1: f; gfiwfiiéa} g fixzfizw; ii “:“éwwsa U M? $3§23$§ axiaé% éwtéig) 3?? “Ma—~35 “P0? 2.: g ' K MM §avfi €51} g‘s/fiw m éfiws am Wain: age; if” 1% N imfiia a) a; it Par? (:2) meerXSmYMW éamés an the mines afar. and 3. Far mpie, far 9 *1 J: 4:: 2 sad 0 «£374: 1, y 123* 32; x ’ r a: y I Fxfixay} $ I I K11,Y}d?(§13 at} §u+2vfivdnm~§~+m¥fi ' «co «m a .9 jfmf§m_f{v,n}év éu. Th: way this integral is finssforfifixactfimé £552; ' 2 x 3? x 1 §" 3L, :5] j fin fldvfiuazg I 91*{t1«i-2v)évdumx 4-5-5 XY‘ 3’) m m * .9 fig ‘3" 4 The complete: éefinitiaa of FXY is E’ xgflmyfi'fi, xEy/angisg, an <2 amin<y<1, FXY(X,$}:I y/Qévyzfl? flfixwdfiwfiy‘i 1g 1 £2}8+'xfé, Géxacfzmafi ii fly, 2 figxandlfiy. ‘5‘! Ex 4.11: LE 3% «g? «Quiz»? :3 1%? $2? arm, a; 3,, V gems? géég «a; 39?“; iwfifiég}? €39? 29$ 2; E; 3% $3 U mné “xi $33 353m: $§=§ £331; ififl‘; ié§g§g é'éwg my} é: «gm $1; {FE , sgw ag‘fl; w fitmé $12.; 2,3 Tifii£$§ as} amév X; {Ti‘g- “55% ?W§£§£m§£m§§ g; Ex 4.6: {afihmfimethatAarfivmanéfixfimathaaaxfiwa, Téaerméomvwiahiwfiméfl' den; unifcrmfifi} vatiablasg Se thair jam:- péf i3 'miiarm on the aqua-2: an: indepen (1,2)): (1,2). Let X = maxim. nf time A waits fiat B. T3193, Frizz) : P951 5 I) m 3, x 4:: a, andFfix} mPixgx)=-—1_,Ifix. Fax:fl,mhava' 2 a FX(G)z?{Xgfl}mP(Xzfl} mpgagawf I 1 lick-dam}? Mtifaxfi<x<i, F {x}m?{}{fix)zim?($ >x}mlw.?(E~A>x}m1—w X 1 x2 I! 3 f 4 13b§3m§+xw~§a 3+; 2H3: Ex 4.10: Par? ((1) The magma}, distribution of K is 1:115:31} x F(Xmfi) m 11"} ané WEE—*2) 3 U2. The margina} éififiributimi of Y is P‘C‘Emi‘) r; P€Y==3§ m: ?[Yt=4) a 3/3. But P‘(I}f§.-:..n-2i ha) a a 5% (m) {1/3} :2 mammmgy. 3a the randbm vmiabia m not maepenam, Parf (b) The difitrihution iixat 3a 121% Mfi szx, ‘53:?) :1 ?{§mx}?{vfifl whefe If ~ X and V m Y in flux IWH min-l 03M QM I. if - 1 i? “1;, ii ...
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This note was uploaded on 03/17/2008 for the course STAT 513 taught by Professor Senturk,damla during the Fall '06 term at Pennsylvania State University, University Park.

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STAT 513 - HW 5 Solution Key - 51m” 513 Homework 5...

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