STAT333 Lecture Notes - Lecture 6: Special Effect, Eth, Conditional Expectation
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Notation f ylx7 or fwyexly conditional pmof is given any y f ylx7 zo fx a legitiment pomef. Given any y y is proportional to pc. That is as x changes the value of fattycd f y. Ply y is constant ftp. ylx7 ycx7 a plex f y means proportional useful for solving problems where denominator hard to find is. X 11h and f khz what is favenck pg kl f n canonly be non zero. Pcxekly n for k 0 ooo n in this case. P xi kl 4 n c serves as normalizing constant xp xi k ven. Ca kilo ftp. ky k can get pcx k 14in the above expression. E we remove things that don"tdepend on k by normalizing y wocnt. Then pcx k with the result of if xn 13inchp. K p u py a tether. no a common distribution remove n fn4 ylx fconditional fcxg fyly. Pdf conditional pdf iec f ycxly z o fwygly dx.