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Suppose (X1, X2, X3) trinomial(n, (p1, p2, p3)) where n, the number of trials, is fixed and p1 + p2 + p3 = 1. Derive

Suppose (X1, X2, X3) trinomial(n, (p1, p2, p3)) where n, the number of trials, is fixed and p1 + p2 + p3 = 1. Derive the MLE of (p1, p2, p3) based on the data (X1, X2, X3).

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