$$P(x|y) = \frac{P(x)P(y|x)}{P(y)}$$

Gaussian Naive Bayes

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$$P(x_i|y) = \frac{1}{\sqrt(2\pi \sigma^2_y)}\exp({- \frac{(x_i - \mu_y)^2}{2\sigma^2_y})}$$

Using Sklearn

from sklearn.naive_bayes import GaussianNB
gnb = GaussianNB()
y_pred = gnb.fit(X_train, y_train).predict(X_test)