I need help writing a Mathematica code of the following problem using the expectation-maximization algorithm

Problem 1: EM algorithm Implement the EM algorithm for the simple case of a mixture of two Gaussians in 1D with identical standard deviation. _(w-H )2 _(w-H )2 In other words, begin by generating synthetic data according to this model: me 2071 + (1 7r1)e 2:732 where you have pre-specified by hand the parameters 71'], #1,H2, 0. Then, implement an EM in order to learn the parameters 71'], [11, [12,01 Compare your parameter estimates from EM to the theoretical values you used to generate your data