probability_per_trial
A negative binomial distribution parameter
Specification
Alias: prob_per_trial
Arguments: REALLIST
Description
The negative binomial distribution is typically used to predict the number of failures observed when repeating a test until a total of n successes have occurred, where each test has a probability p of success.
The density function for the negative binomial distribution is given by:
\[\begin{split}f(x) = \left(\begin{array}{c}{n+x-1}\\{x}\end{array}\right){p^n}{(1-p)^{x}}\end{split}\]
where
\(p\) is the probability of success per trial
\(n\) is the number of successful trials
\(X\) is the number of failures
