3. A Markov chain Xo, X1, with state space 3, 2, 1, 0,1,2,33 proceeds as follows. The chain starts at Xo = 0. If Xn is not an endpoint (-3 or 3), then X is Xnl or Xn+1, each with probability 1/2. Otherwise, the chain gets reflected off the endpoint, .e., from 3 it always goes to 2 and from 3 it always goes to 2. A diagram of the chain is shown below -3 -2 (a) Is |Xol, IX1l,IX2l, also a Markov chain? (b) Let sgn be the sign function : sgn(x) = 1 if r > 0, sgn(x) = if x