![A differential equation for quantiles of a distribution](https://blogs.sas.com/content/iml/files/2022/04/ODEQntl1-480x336.png)
The graph to the right is the quantile function for the standard normal distribution, which is sometimes called the probit function. Given any probability, p, the quantile function gives the value, x, such that the area under the normal density curve to the left of x is exactly p. This