Arat is trapped in the center of a maze. there are three possible directions the rat can take. first direction = rat will return to the center after 3 minutes. second direction = rat will exit the maze after 5 min. third direction = rat will return to the center after 2 min. also assume that every time rat returns to the center, it is equally likely to choose any of the directions (i. e. rat does not have any memory about any particular direction). compute expected time to exit the maze.