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%% Find Cumulative Distribution Function of Normal Distribution % The cumulative distribution function (CDF) of the normal, or Gaussian, % distribution with standard deviation $\sigma$ and mean $\mu$ is % % $$\phi(x) = \frac{1}{2} \biggl(1+\rm erf\Bigl( % \frac{x-\mu}{\sigma\sqrt{2}}\Bigr)\biggr).$$ % % Note that for increased computational accuracy, you can rewrite the % formula in terms of |erfc| . For details, see % <docid:matlab_ref.bup2mn8-5>. % % Plot the CDF of the normal distribution with $\mu=0$ and $\sigma=1$. % Copyright 2015 The MathWorks, Inc. x = -3:0.1:3; y = (1/2)*(1+erf(x/sqrt(2))); plot(x,y) grid on title('CDF of normal distribution with \mu = 0 and \sigma = 1') xlabel('x') ylabel('CDF')