Give any example of a probability distribution over x and y for a classification problem on the real line, so that the Bayes optimal classifier is f(x) = 1, if x E[1, 3] U[6, 7] -1, otherwise

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Give any example of a probability distribution
over x and y for a classification problem on the real line, so that the Bayes
optimal classifier is
f(x) =
1, if x E[1, 3] U[6, 7]
-1, otherwise
Transcribed Image Text:Give any example of a probability distribution over x and y for a classification problem on the real line, so that the Bayes optimal classifier is f(x) = 1, if x E[1, 3] U[6, 7] -1, otherwise
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