Find and plot the optimal decision boundary

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Please use Python for programming and plotting. Please compile all result into a single PDF file and submit via Emory Canvas. Code must be included in the submission.

Question 1. We have two class-specific densities. Both are two-dimensional normal.

Class 1:

2379_figure.jpg

Class 2:

2083_figure1.jpg

P(ω1) = 1/3

Miss-classification loss:  2026_figure2.jpg

(1) For the following points, calculate P(ω1|x)

437_figure3.jpg

(2) Use the Bayes decision theory, find and plot the optimal decision boundary.

Reference no: EM132239202

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