The file p. mat contains a distribution p(x, y,z) on ternary state variables. Using BRML- toolbox, find the best approximation q(x, y)q(z) that minimizes the Kullback-Leibler di- vergence KL(q|p) and state the value of the minimal Kullback-Leibler divergence for the optimal q.

Easy points boii. read it. ya. fresh

Abag contains 4 red, 7 blue and 5 yellow marbles. event a is defined as drawing a yellow marble on the first draw and event b is defined as drawing a blue marble on the second draw. if two marbles are drawn from the bag, one after the other and not replaced, what is p(b|a) expressed in simplest form? a. 7/16 b. 7/15 c. 14/16 d. 14/15

Answer each of the questions for the following diagram: 1. what type of angles are these? 2. solve for x. what does x equal? 3. what is the measure of the angles?