To prove independence, P(x, y) = P(x)P(y) holds for all values, thus checking for dependence is easier

P(X = -1) = P(X = 1) = 1/2

E[X] = 0

Var(X) = 1

P(Y = -3) = P(Y = 3) = 1/2

E[X] = 0

Var(X) = 3^2

Generative Classification

Process: fit a probability distribution to each class individually