Question: 1.21 ( ) Consider two nonnegative numbers a and b, and show that, if a b, then a (ab)1/2. Use this result to

1.21 ( ) Consider two nonnegative numbers a and

b, and show that, if a

b, then a (ab)1/2. Use this result to show that, if the decision regions of a two-class classification problem are chosen to minimize the probability of misclassification, this probability will satisfy p(mistake)

{p(x, C1)p(x, C2)}1/2 dx. (1.150)

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