MATLAB: How to plot a 1-d random walk that generate 1 and -1 with equal probability? I am struggling to plot every individual P that I get against i the number of step.

random walk

P=0; % Starting value
for i=1:10    % i is the number of steps from 1 to 10
  R=rand;
  if R<0.5
    S=-1;
  elseif R>0.5
     S=1;
end
   P=S+P % Gives the next random walk from the new position P every time
end
xlabel('Position')
ylabel('Step Count')
title('1-D Random Walk')

Best Answer

n = 10;
P = zeros(n,1);
P(1) = 0; % Starting value
for i=2:n    % i is the number of steps from 1 to 10
  R = rand;
  if R < 0.5
    S = -1;
  elseif R > 0.5
     S = 1;
  end
  P(i) = S+P(i-1) % Gives the next random walk from the new position P every time
end
ylabel('Position')
xlabel('Step Count')
title('1-D Random Walk')
plot(1:n,P)
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