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Question 3 Assume 21, 22, ..., In are normally distributed with mean y and variance o2. Hold o2 constant. (a) Show that this

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X, Y, Ans N (402) glu . 12 coustout holding I exph 1024 - pdf of Normal distribution f(x) 1,0) Voro2 x cdo - -PLUCO Joint pdfElxiu) tem ---4.2interne op Labe [sro? thu? exp 2 ( 23471 - exp 2002 Heton (402) 14,029 = rear Brxiu - neu 12 Exi? This ii thPosterion. I p(xit, en lee) & 1 mp la mort Elie 2] 12(Exi² auszi tha2) L-1 exp(-m on (-Qun te u ?) x exe 288 (FEM)) L. Plau)Hence for posterior posterior probability ule get, IP Cenfor, o -2) I per q - - 24/MJ P(4) ~P(212) Play 2 Plex

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