In a onedimensional random walk the position x of a walker i

In a one-dimensional random walk the position x of a walker is computed by x_j = x_j + s where s is a random number. Write a program that calculates the number of steps required for the walker to reach a boundary x = plusminus B. Use MATLAB\'s built-in function randn(1, 1) to calculate s. Run the program 100 times (by using a loop) and calculate the average number of steps when B = 10.

Solution

Writing a function in Matlab

function ans = Average()

B = 10;

x = 0;

for a = 1:100

s = randn(1,1);

   x = x + B;
   ans = ans +1;

   If x >= B

x = 0;
   break;

ans = ans/100;

end


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