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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^>

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Please ask experts to solve this in the correct way. 1. (20 point.pdf

  • 1. 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^>