Extract a Gaussian mixture model using the EM algorithm from a data set synthesized from a distribution consisting of three Gaussians with means -0.04 UI, 0.01 UI, and 0.1 UI, standard deviations of 0.05 UI, 0.03 UI, and 0.04 UI and weighting factors 0.4, 0.2, and 0.4, respectively. How does extracted models compare with the original data set?