Consider the following mixture model for these data: For each study participant there is an unobserved group membership variable Xi which is equal to 1 or 2 with probability p and 1 - p. If Xi = 1 then Y; ~normal (01, 02), and if X; = 2 then Y; ~normal(02, 03). Let p ~ beta(a, b), 0; ~ normal(Mo, To ) and 1/oj ~ gamma(vo/2, 1057/2) for both j = 1 and j = 2. Obtain the full conditional distributions of (X1, . . ., Xn), p, 01, 02, 07 and o3