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QUESTION
Problem 2 ( 10/30 ) : The probability densities representing a two- class pattern are P ( 2 / co , ) - 1 exp ( V - 2 ) when ( V s 2 ) Owhen ( gt;
Sketch the two densities on the same figure for
b
<2. Show
the
regions corresponding to the decision rule that minimizes the probability of
error
Problem 2 ( 10/30 ) : The probability densities representing a two- class pattern areP ( 2 / co , ) - 1exp ( V - 2 ) when ( V s 2 )Owhen ( > > 2 )Play ) - 1exp ( - ( V - 6 ) when ( V - b )OotherwiseThe prior probabilities are P ( ) = P ( 2 ) - 0.5( a ) ( + 10 / 15 ) Sketch the two densities on the same figure for 652 Show theregions corresponding to the decision rule that minimizes the probability ofelTO( 6 ) ( 0 / 10 ) What is P ( error lay ) in terms of b ? Consider all values of b from - infto tint )( C ) ( 0 /5 ) What is the value of b that maximizes P ( error w , ) ?