These questions must be solved with R code. I missed this class and am extremely confused about how to do any of these. Thank you.

Recall the Cat and Mouse game from class: five boxes are placed in a line adjacent to each other. A cat starts in the first box and a mouse starts in the fifth box (the two boxes farthest apart from each other) Let's call the cat and the mouse the two "players" of this game. On every turn in the game, the following happens: If one of the players is in one of the edge boxes (the first or the fifth), it If one of the players is not in an edge box, there is a 1/2 chance it will . If the cat and mouse end up in the same box, the cat eats the mouse. This automatically moves to the adjacent box move to either of the adjacent boxes. is considered an absorbing state of the transition matrix. Answer the following questions 1. 10 points: Express the possible scenarios for this game as different states, 2. 10 points: Find the probability that within 8 turns the cat has eaten the 3. 10 points: Create a simulation to simulate 6 turns of this game. Run your and then write a transition matrix for this game mouse. simulation 50 times, and print your 50 results (your 'result" should be what state the game is in after 6 turns) Recall the Cat and Mouse game from class: five boxes are placed in a line adjacent to each other. A cat starts in the first box and a mouse starts in the fifth box (the two boxes farthest apart from each other) Let's call the cat and the mouse the two "players" of this game. On every turn in the game, the following happens: If one of the players is in one of the edge boxes (the first or the fifth), it If one of the players is not in an edge box, there is a 1/2 chance it will . If the cat and mouse end up in the same box, the cat eats the mouse. This automatically moves to the adjacent box move to either of the adjacent boxes. is considered an absorbing state of the transition matrix. Answer the following questions 1. 10 points: Express the possible scenarios for this game as different states, 2. 10 points: Find the probability that within 8 turns the cat has eaten the 3. 10 points: Create a simulation to simulate 6 turns of this game. Run your and then write a transition matrix for this game mouse. simulation 50 times, and print your 50 results (your 'result" should be what state the game is in after 6 turns)