1
$\begingroup$

What distribution can I use to describe the trial number of the first success given a sequence of Bernoulli trials?

$\endgroup$
2
$\begingroup$

You are looking for a Geometric Distribution

Assume the probability of success is $p$ (fixed) then the probability of a success on the k-th trial is:

\begin{equation} Pr(X=k) = (1-p)^{k-1}p, \text{ where }k=1,2,.. \end{equation}

Geometric_distribution - wikipedia reference

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.