Negative Binomial Distribution PMF Calculator

For a negative binomial distribution defined as the number of failures \(x\) before the \(r\)th success, the PMF is: $$ P(X = x) = \binom{x+r-1}{x} (1-p)^r p^x, \quad x = 0,1,2,\dots $$

* Enter the failure count \( x \) (nonnegative integer), the number of successes \( r \) (integer \( \ge 1 \)), and the success probability \( p \) (with \( 0