Question

I've tried solving this homework problem for a few hours and I can't figure out how to do it. Please show all steps so I can understand! The problem is NOT the one in the text but in the red box.

P4 Sunday, July 19, 2020 6:03 PM and (1-P) probabilita p . ML respectively (20%) Suppose that a signals that takes on values 1 and -1 with equal probability is sent from location A. The signal received at location B is Normally distributed with parameters (s, 2). Find the best estimate of the signal sent if R, the value received at location B, is equal to r. MAP MAE Ms estimate fels B A Best estimate in the mse sense is E{s/R] E{s|k] Ps(s=1) fals (r1s=1) p(s=1/R=r) fr(r) -(0-1)/2x2 I-P Afs AP ML & MAP fs (s) fals (7) P e Vzti x2 1 (1-1)/2+2+(1-P) (r+1) 3/2x2 e A e (27X2 127X2 LAST HW: Find ML, MAP - HW MAE P(s=-1|k=r) Ps (5=-1) fris (r|s=-1) fr(r) -(r+1)/2x2 (1-P) - e (8-19%2+2+1-P) е -(0-1)/2+2 P (-1)/2+2+(1-P) ML to max f(R/s) 411%22 MAP = max f (5/2) -(+1)/2x2 VZHX2 p e V2nXZ 127X2 e e 20X2 (r+11²/2x2 V2+ X2 Els lR) Esplsle) e P e V2+x2 (27X2 S=1,

Thanks

Answer 1

from the observed date Cilver RN(3,2) with pdf flols) Pls=1)=P -> Pls:-1) alap posterior distribution of the signal dent's is fols-1). Plsal) Hols - 1) plsz1] + plus = 1). P/S:-1) e tu lone)" (p) (241) + رم (1-3) پاتے te (P) P P4-) (*+1)*16-1)2 Р pt limpsey plstlo). 1- Pls-yo) (1-P) er Pill-p) et But estimate of 's in the Mean Square error IMSE) Posterior I-pS=118) + (-1). Plsa -1/8) P (1-P) et P+(1-P) er P-(1-P) ear pt linpear polimpler :. Posterior 1+11-pjes Mean Mean E I hope this answer bor you will helpful up. vote for my work. give - please