1:Derive the Bayesian Risk  2: Consider two sets of data samples drawn from two  classes, where these classes are characterized by two Gaussian distributions  sharing equal means but with different variances: (In the image down) Your task is to find the Bayes' decision rule, also known as the Maximum-APosteriori (MAP) rule, for making optimal decisions based on these  probability distributions.

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1:Derive the Bayesian Risk 

2: Consider two sets of data samples drawn from two 

classes, where these classes are characterized by two Gaussian distributions 

sharing equal means but with different variances:

(In the image down)

Your task is to find the Bayes' decision rule, also known as the Maximum-APosteriori

(MAP) rule, for making optimal decisions based on these 

probability distributions.

Ho:Y~N(0, o)
H₁: Y~N(0, ₁2)
Transcribed Image Text:Ho:Y~N(0, o) H₁: Y~N(0, ₁2)
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