Hello! I have a question regarding Mixture distribution mean and covariance problem. Thank you in advance.

\fConsider a mixture distribution of the form: K 1905) = 2 rpm 16) k=1 where you may assume the elements of a: are discrete. Denote the mean and covariance of p(sc|k) by pk and Elk, respectively. Show that the mean and covariance of the mixture distribution are given by Bishop equations (9.49) and (9.50) respectively