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Machine learning algorithms build a model of the training data. The term "machine learning" is vaguely defined; it includes what is also called statistical learning, reinforcement learning, unsupervised learning, etc. ALWAYS ADD A MORE SPECIFIC TAG.
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Bayes Optimal Classification Rule
Suppose that $Y∈ {0,1}$ and $P(Y=1) = 1/2$. The distribution of $X|Y= 0$ is discrete and is specified by $$P(X= 1|Y= 0) = 1/3 $$ $$P(X= 2|Y= 0) = 2/3$$The distribution of $X|Y= 1$ is discrete a …