WOLFRAM|DEMONSTRATIONS PROJECT

Comparing Normal and Student's t-Distributions

​
degrees of freedom
5
The standard normal distribution (blue) with mean 0 and standard deviation 1 and Student's
t
-distribution (red) become very similar as the degrees of freedom for the
t
-distribution increase. The left panel displays the two probability density functions (PDFs) and the right panel displays the two cumulative distribution functions (CDFs).