Negative Binomial Experiment

Timeline
Distribution graph

Description

The negative binomial experiment consists of performing Bernoulli trials, with probability of success \(p\), until the \(k\)th success occurs. The successes are shown as red dots in the timeline. The number of trials \(V\) is recorded on each update in the data table. This random variable has a geometric distribution if \(k = 1\) and more generally has a negative binomial distribution for any \(k\). The probability density function and moments of \(V\) are shown in blue in the distribution graph and are recorded in the distribution table. On each update, the empirical density function and moments of \(V\) are shown in red in the distribution graph and are recorded in the distribution table. The parameters \(k\) and \(p\) can be varied with scroll bars.