Normal Distribution of the CDF Error Function Plotting

What command do I need to enter to plot:

f(z) = 794.5 (1 + erf((x - 97.69760856)/(25.85046741√2)))

[Star Strider]

Does it concern you that ‘f(z)’ is not actually a function of ‘z’?

[Elaine Li]

no

[Elaine Li]

it could be y=

Answer 1

[Kanishk]

I understand you are trying to plot the Normal Distribution of CDF error Function.

You can start by defining the general function with parameters.

CDF = a * (1 + erf((x - mu) / (sigma * sqrt(2)))); 

For the equation provided the parameters will be:

mu = 97.69760856; 
sigma = 25.85046741;  
a = 794.5;

To plot the equation,

figure; 
plot(x, CDF, 'LineWidth', 2); 
grid on; 
title('CDF of the Normal Distribution using the Error Function'); 
xlabel('x'); 
ylabel('CDF'); 
legend(['\mu = ' num2str(mu) ', \sigma = ' num2str(sigma)]); 

You can learn more about plotting functions in MATLAB from the documentation. https://www.mathworks.com/help/matlab/ref/plot.html

Hope this helps