# Negative binomial distribution (percentile) Calculator

## Calculates the percentile from the lower or upper cumulative distribution function of the negative binomial distribution.

cumulative mode
 lower P upper Q
cumulative distribution
 0≦P,Q≦1
number of successes k
 k=1,2,...
probability of success p
 0≦p≦1

percentile x
(failure number)
 $\normal Negative\ Binomial\ distribution\\[10](1)\ probability\ mass\\\hspace{30}f(x,k,p)={}_{x+k-1}C_xp^k(1-p)^x\\(2)\ lower\ cumulative\ distribution\\\hspace{30}P(x,k,p)={\large\sum_{t=0}^{x}}f(t,k,p)\\(3)\ upper\ cumulative\ distribution\\\hspace{30}Q(x,k,p)={\large\sum_{t=x}^{n}}f(t,k,p)\\$

To improve this library, please fill in questionnaire.

Gender
Male Female
Age
Under 20 years old 20 years old level 30 years old level
40 years old level 50 years old level 60 years old level or over
Occupation
Elementary school/ Junior high-school student
High-school/ University/ Grad student A homemaker An office worker / A public employee
Self-employed people An engineer A teacher / A researcher Others
Useful?
Very A little Not at All
Purpose of use?