Explore related questions probability probability-distributions normal-distribution expected-value cumulative-distribution-functions See similar questions with these tags.

I am working my way through Think Stats, where the author states that "there is no closed form expression for the normal cumulative density function" but does not provide any further details …

Apr 4, 2021 · I understand that we can calculate the probability density function (PDF) by computing the derivative of the cumulative distribution formula (CDF), since the CDF is the …

Apr 8, 2017 · It's square root $2\pi$ in the denominator if it's the cdf of standard normal variable.

Well, there's a definition of erf and a definition of the Normal CDF.. The relations, derivable by some routine calculations, are shown as to how to convert between them, and how to convert …

Could you please change your $\Phi (x)$ notation to some other notation? $\Phi (x)$ is commonly used to denote the cumulative probability distribution function of the standard normal random …

Dec 23, 2020 · Why does the cumulative distribution function of the standard normal distribution have point symmetry in (0,0.5)? Ask Question Asked 4 years, 11 months ago Modified 4 …

May 5, 2017 · This is a model of concise explanation at a certain level and contains an example already. It's unclear what level of explanation you seek. An answer could be 10 times longer …

Mar 10, 2016 · Just to check on this, the R code for the standard normal CDF is pnorm, and the statement pnorm(0.8416212) returns 0.8 exactly. Here's how it looks in Minitab: MTB > invcdf …

Jan 11, 2025 · My question is how do you calculate a normal CDF using the series expansion without that intermediate step? It's kind of hard to exponentiate infinity, either positive or negative.