Consider a box containing 20 balls marked with numbers 1,2,...,20. There are no two balls marked with the same number. You draw balls from the box with replacement. Let Xn denote the number marked on the ball drawn at the n-th drawing. Next, let Yn = n k=1 Xk n = 123 Discuss whether Y is a Markov chain. If so, what is its state space? If so, is it a time homogenous Markov chain