Editing Bernoulli distribution (section)

==Related distributions==
*If <math>X_1,\dots,X_n</math> are independent, identically distributed  ([[Independent and identically distributed random variables|i.i.d.]])  random variables, all [[Bernoulli trial]]s with success probability&nbsp;''p'', then their [[Sum of independent random variables|sum is distributed]] according to a [[binomial distribution]] with parameters ''n'' and ''p'':
*:<math>\sum_{k=1}^n X_k \sim \operatorname{B}(n,p)</math> ([[binomial distribution]]).<ref name=":0" />

:The Bernoulli distribution is simply <math>\operatorname{B}(1, p)</math>, also written as <math display="inline">\mathrm{Bernoulli} (p).</math>

*The [[categorical distribution]] is the generalization of the Bernoulli distribution for variables with any constant number of discrete values.
*The [[Beta distribution]] is the [[conjugate prior]] of the Bernoulli distribution.<ref>{{Cite web |last1=Orloff |first1=Jeremy |last2=Bloom |first2=Jonathan |date= |title=Conjugate priors: Beta and normal |url=https://math.mit.edu/~dav/05.dir/class15-prep.pdf |access-date=October 20, 2023 |website=math.mit.edu}}</ref>
*The [[geometric distribution]] models the number of independent and identical Bernoulli trials needed to get one success.
*If <math display="inline">Y \sim \mathrm{Bernoulli}\left(\frac{1}{2}\right)</math>, then <math display="inline">2Y - 1</math> has a [[Rademacher distribution]].