I am using the pdf function (https://nl.mathworks.com/help/stats/prob.normaldistribution.pdf.html) to just visuilize the pdf of the t statistic for teaching purposes. I am wondering how MATLAB generates this continous distrubtion. That is, this is the limiting distrbituion, so MATLAB should be taking many many random draws from the t distrubtion so that the frequency distribtuon converges to the pdf as the limiting distribtuon and looks all smooth, i.e. it does not look at all like a frequency distribution. But then how come that this happens so fast that I get the pdf immedaitly when I call the pdf function? Or is this not how MATLAB generates the pdf?I am using the pdf function (https://nl.mathworks.com/help/stats/prob.normaldistribution.pdf.html) to just visuilize the pdf of the t statistic for teaching purposes. I am wondering how MATLAB generates this continous distrubtion. That is, this is the limiting distrbituion, so MATLAB should be taking many many random draws from the t distrubtion so that the frequency distribtuon converges to the pdf as the limiting distribtuon and looks all smooth, i.e. it does not look at all like a frequency distribution. But then how come that this happens so fast that I get the pdf immedaitly when I call the pdf function? Or is this not how MATLAB generates the pdf? I am using the pdf function (https://nl.mathworks.com/help/stats/prob.normaldistribution.pdf.html) to just visuilize the pdf of the t statistic for teaching purposes. I am wondering how MATLAB generates this continous distrubtion. That is, this is the limiting distrbituion, so MATLAB should be taking many many random draws from the t distrubtion so that the frequency distribtuon converges to the pdf as the limiting distribtuon and looks all smooth, i.e. it does not look at all like a frequency distribution. But then how come that this happens so fast that I get the pdf immedaitly when I call the pdf function? Or is this not how MATLAB generates the pdf? pdf, function MATLAB Answers — New Questions

​