Density Mixture Model (20 points). For a random variable X distributed in a mixture of probability densities, the joint distribution of X and its latent variable Z with the model o is given by K p(X,Z\) = 11 ip(X|0:31 ] i=1 a) Summarize the general EM scheme for DMM (E-step and M-step). b) Assuming each probability density is Bernoulli, i.e., p(x0)=0(1-0)-*, please derive the corresponding model learning procedure for {Ti, Of} under the EM scheme