function [time, position] = randomwalk(numbersteps)
% 1-D random walk for numbersteps time steps
time = 1:numbersteps;
position = zeros(numbersteps, 1);
for i = time(2:end)
	r = rand(1);
	if r > 0.5
		position(i) = position(i-1) + 1;
	else
		position(i) = position(i-1) - 1;
	end
end
end