(1) Consider the random walk of a knight on a chessboard (look up the denitions on the internet). (a) What is the stationary probability of the knight being in the topleft corner? (Consider the graph the knight travels on.) [4 marks] (b) Is this the large time limit of the probability of being there? [2 marks] (0) What is the expected number of moves to return to the topleft corner when we start there? [2 marks]