1. (5 points) A rat runs through the maze shown below. The rat stays in a room for exp(1) and leaves the room by choosing at random one of the doors out of the room. There are 6 states (state = room in which the rat is). a) Draw a rate diagram. b) Construct the rate matrix and the generator matrix. 1. (5 points) A rat runs through the maze shown below. The rat stays in a room for exp(1) and leaves the room by choosing at random one of the doors out of the room. There are 6 states (state = room in which the rat is). a) Draw a rate diagram. b) Construct the rate matrix and the generator matrix