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X y x y x y G t x e G t x y µ µ 1 y x yx Ge G t x yt µ µ Then to find the from ECON 221 at Concordia University. ÿd“ ø K ¸Ô t Ð Albert Park þ ¡¶ d ´ z ¡ Üd R Q T 8 è p H A É Ý—— H A y` a K梲 Ò !u 0² Ò E § 0Ø æ¢ ¡ ^ Kµæd² Ò Ï H A IKëè ­ z ¡ !. Suppose that E(X)=µ, Var(X)=s2 Then (i) E(Yn)=µn (ii)If µ 6= 1, then Var(Yn)= s2µn¡1(1¡µn) (1¡µ) If µ =1 then Var(Yn)=ns 2 Proof Was given in lectures (and a different proof can be found in Notes 4) Some additional properties of conditional expectations 1 If X and Y are independent rv’s then E(XjY)=E(X) Proof.

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3Û D KY Sä µ cø l!. È p ß Î µ º b S u b¬ k )*( < à D m 2 _6õ M %Ê'2 Research on Position and Posture Control Methods of Underwater Robots Ñ9× « $>/, 5 Ý M >0, à £ *g ´>0, ­ M ÷>0, *Z ¨5 G >1 *Tomohiro Takahashi1, Kazuki Nozawa2, Shouta Moriyama2, Kazumasa Sakai2, Masatoshi Hatano3 Abstract Recently, ocean energy conversion systems using offshore structures such as megafloats are been. ReOgle_primidu_MontCarmelXõÏHXõÏHBOOKMOBIÇc h&” \ 6^ =Š Fà K¯ SË Þ cî k¬ s¡ {Q ƒT ‹ “ › "¢È$ªð&²‡(¹^*ÀÞ,ÈÉІ0×L2ݨ4äO6ì£8ô ý?.

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CovX,Y=E(X −µ X)(Y −µ Y)=EXY−µ Xµ Y IfX tendstobelargewhenY islarge,thecovariancewillbepositive 2 If two random variables are independent, their covariance is zero However, the opposite is not (quite) true two random variables can have zero covariance without being independent 3 Thecorrelation coefficient ofX andY is ρ. Definition 2 Let X and Y be random variables with their expectations µ X = E(X) and µ Y = E(Y), and k be a positive integer 1 The kth moment of X is defined as E(Xk) If k = 1, it equals the expectation 2 The kth central moment of X is defined as E(X − µ X)k If k = 2, then it is called the variance of X and is denoted by var(X). Compilatio_de_CatilinaR –R –BOOKMOBI ñ ù 2ú 8ë = A¤ Eà JO N¾ Uþ ž dö lm sø {n ƒb ŠÉ ’× ™à"¡Ò$© &°Ã(¸ß*¿Ï,Ç­Ï¢0×52Þä4åã6îŽ8ö¨ý» Â> Ã@ ØB ïD #ïF ®H 3 J ÇL BòN JFP QóR Z T aGV hMX oðZ x \ )^ ‡a` Vb ˜%d f § h ¯÷j ·ãl ¿Yn Æ›p Íìr ÕÊt Ýîv åõx îÍz ÷ð ÿ´~ 4€ Å‚ á„ ð† %þˆ / Š 8PŒ A Ž Hõ Rk’ Z.

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Overcoming_Ohristian_Faithýñ”ýñ•BOOKMOBI÷{ (, 3k ;É D M UÓ Ž f no v ~Ê †» Ž© —Œ ™ ¨Œ ±E"º $Â>&ËD(Ó›*ÛÉ,ä¥ìr0ôÿ2ý 4 ­6 û8 ¸ à (ž> 1Ò@ FB AD A Many Christians find witnessing for Jesus Christ to be a difficult thing because they are not able to explain why the Christian faith is a reasonable faith. Ü µ ¡ K #æ3¸ v / W Z C T I 8 Ó î Ý » Þ « _#æ3¸ Õ å ­ Ý b& 1 Ó î Ý @¬ ·3æ I r M G b Ó î Ý @ ?.