A mouse is at the center of a maze. Three doors lead out of the maze. Door 1 leads back to the center after 5 minutes of scampering. Door 2 leads back to the center after 4 minutes of scampering. Door 3, however, after 3 minutes of scampering, splits into two tunnels, Tunnel A and Tunnel B. If the mouse chooses Tunnel A, she gets out of 1 the maze after 2 minutes. If the mouse chooses Tunnel B, she gets out of the maze after 1 minutes. Let X = number of minutes for the mouse to get out of the maze. Suppose the mouse always chooses at random between any door (or tunnel) at each opportunity. Find E(X) and Var(X).