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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def _compute_mixing_probabilities(self):
 """ Compute the mixing probability for each filter. """


        self.cbar = dot(self.mu, self.M)
        for i in range(self.N):
            for j in range(self.N):
                self.omega[i, j] = (self.M[i, j]*self.mu[i]) / self.cbar[j]