hw8 - ~ V(t{(XI-Xl.)~ VO-f(X,)f (_/).l. VarrX.L)-== Ib f...

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ANJ.5 310 HvJfr8 /1rLSiiJer sheet ;,76 PCO.2L.X<.O.5/o,lf«<O\6) z: J/~s i: ~ [Xf ~)dJdx z: Jo~; Heyxt f) J;.; 7 ciA - ..f2.J' (),')( Y f d b (·0 X ~/ I O,J)~ 0 ~I) (I. 1 0 . - 5 0.1 ~.](1 O,'1)1/"J) 'X.:::: 5 .1. . (J. . .'''J.LX;3 D 5 ) 0,). . .z = 0. 01345 5·90: (0.) f(X-)C)= E()<.,)-fC-1) E(X~);;:: (-J.)tC-f)5==-7 (b) V().r(X,-x)~ V t1r(X')-f-(-r).L vcJt (x .y :::: 2. j-(-f):J.(5J-:7 J) ·71. lO) VJ~ ohoci<'V\j Ct 5lnjJe chJp /tfl2 tl/tl£ SO-Vi':; IS Y:: X - 'I. i . Hefl(Q tf1Q expected ttCme ~~~ f1J IS I I;:) s: 20 . fCY).:. ECX,-)(J.);:::' ECX,)- ECX.L):: 6'5 --!J'$; /i fVIt!l,'.secolldJ 4000 (I:,) E(200Y).= 100 ECr)-= 200(10);-Z2fJ1tH'Yl i // is e CD ll d5 ~2.2JeC0J1dJ rc) 'Var(XJ
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Unformatted text preview: ~ V(t{(XI-Xl.)~ VO-f(X,)f (_/).l. VarrX.L)-== Ib f [-1?9=25 Var( 100Y).= 20D~ va('('()-==-200).5 2 = ClDDO):J. .. Heflce the stMdC{rd dev;ect-&quot;OflS of Y ofl4 uo: ore '5 OJld 1000 vnff/Fsf(OnJs respect,-vf&gt;~, 512~ co) f(3x,t 5X:t1-.1):: Er3Xlt 5XJ.)f 2::: 3E(~)'f-5E(A'.J.)i-2 zz: -3 (-)))1' 50 Jf 2 ~-0 (6) V(Ar( 3X/t 1j x:&gt; +2) z: Var( :lXd 5X~) z: 3&quot;-var, ?(I)f 52.I,(}t(X,'-) z: 3 ~{5 Jf 5 ~( 4-) =: I ~ ., 5115 to) FC X, + ~l. t i X30};;:,: E ( XI/fE-CX .L/; , &quot; -rE (t1:j 0) &gt;: I z: 30(-5)':: -1.'50 Va.l' ('oj lI(:tr( K,t !{.LT '., t X~'0)'::' Var(XI)'f(x.J. .} t \&quot; T VCAI'(X-jo) -= oj 0 (.1.) :::: 6 0...
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This note was uploaded on 03/21/2010 for the course AMS 310 taught by Professor Mendell during the Fall '08 term at SUNY Stony Brook.

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hw8 - ~ V(t{(XI-Xl.)~ VO-f(X,)f (_/).l. VarrX.L)-== Ib f...

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