The random walk illustrated in Figure Ex-4a can be described by six arrows that specify

Chapter 10, Problem 4

(choose chapter or problem)

The random walk illustrated in Figure Ex-4a can be described by six arrows that specify the directions of departure from the successive mesh points along the path. Figure Ex-4b is an array of 100 computer-generated, randomly oriented arrows arranged in a array. Use these arrows to determine random walks to approximate the temperature , as in Table 2. Proceed as follows: 1. Take the last two digits of your telephone number. Use the last digit to specify a row and the other to specify a column. 2. Go to the arrow in the array with that row and column number. 3. Using this arrow as a starting point, move through the array of arrows as you would read a book (left to right and top to bottom). Beginning at the point labeled in Figure Ex-4a and using this sequence of arrows to specify a sequence of directions, move from mesh point to mesh point until you reach a boundary mesh point. This completes your first random walk. Record the temperature at the boundary mesh point. (If you reach the end of the arrow array, continue with the arrow in the upper left corner.) 4. Return to the interior mesh point labeled and begin where you left off in the arrow array; generate your next random walk. Repeat this process until you have completed 10 random walks and have recorded 10 boundary temperatures. 5. Calculate the average of the 10 boundary temperatures recorded. (The exact value is .) Figure Ex-4