Calculates the probability mass function for a given negative binomial distribution. Users input parameters such as the number of successes ($r$) and the required probability of failure ($p$). The tool then determines the likelihood of observing a specific number of failures before reaching the desired count of successes, following the principles of the Pascal distribution. It provides precise statistical values based on the defined parameters, allowing for detailed probabilistic modeling in various data sets.
Researchers, statisticians, and data analysts utilize this calculator when modeling count data or situations involving repeated Bernoulli trials. Professionals needing to analyze phenomena like insurance claims, quality control failures, or scientific experiment results can use it to test hypotheses about underlying distributions.