Exercise 12 9 9 Suppose that the distributions for two populations are bivariate normal with the same covariance matrix For (1) (2) 0 5, find the value of the correlation coefficient that minimizes the total probability of misclassification The total probability of misclassification is defined in E...

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Exercise 12.9.9. Suppose that the distributions for two populations are bivariate normal with the same covariance matrix.

Question:

Exercise 12.9.9. Suppose that the distributions for two populations are bivariate normal with the same covariance matrix. For π(1) =π(2) = 0.5, find the value of the correlation coefficient that minimizes the total probability of misclassification.

The total probability of misclassification is defined in Exercise 12.9.8.

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