Please ask experts to solve this in the correct way. 1. (20 points) A facsimile communication system transmits the massages that an image pixel is black (event S0 ) with probability P0=0.2689 and that an image pixel is white (event S1 ) with probability P1=0.7311. Under S0, the observations are normal with zero mean and unity variance, while under S1, the observations are normal with unit variance and mean equal to 4 . Two independent observations are made. Show that the minimum probability of decision error rule reduces to S^=S1y=r1+r2S^>.