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###### 4 Consider a maze of nine cells as shown in Figure 3.5. At time 0 a rat is placed cell one, and food in cell 9_ The rat stays in the current cell for one unit of time Ei then chooses one of the doors in the cell at random and moves to an adjacent El Its successive moves are independent and completely uninfluenced by the food Compute the expected time required for the rat to reach the food.Figure 3.5 The nine cell maze:

4 Consider a maze of nine cells as shown in Figure 3.5. At time 0 a rat is placed cell one, and food in cell 9_ The rat stays in the current cell for one unit of time Ei then chooses one of the doors in the cell at random and moves to an adjacent El Its successive moves are independent and completely uninfluenced by the food Compute the expected time required for the rat to reach the food. Figure 3.5 The nine cell maze:

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