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Negative Binomial Distribution (Percentile)

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Determine the percentile based on the lower or upper cumulative probability value of the negative binomial distribution.
Cumulative Mode
Cumulative Probability
0≦P,Q≦1
Number of successes k
k=1,2,...
Probability of success per trial p
0≦p≦1
\(\normalsize Negative\ Binomial\ distribution\\ (1)\ probability\ mass\\ \hspace{30px}f(x,k,p)={}_{x+k-1}C_xp^k(1-p)^x\\ (2)\ lower\ cumulative\ distribution\\ \hspace{30px}P(x,k,p)={\large\displaystyle \sum_{t=0}^{x}}f(t,k,p)\\ (3)\ upper\ cumulative\ distribution\\ \hspace{30px}Q(x,k,p)={\large\displaystyle \sum_{t=x}^{\infty}}f(t,k,p)\\\)

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