# Negative binomial distribution (chart) Calculator

## Calculates a table of the probability mass function, or lower or upper cumulative distribution function of the Negative binomial distribution, and draws the chart.

 select function probability mass f lower cumulative distribution P upper cumulative distribution Q number of successes k k=1,2,... probability of success p 0≦p≦1 [ initial percentile (number of failures before k successes) increment repetition ]
 $\normal Negative\ Binomial\ distribution\\[10](1)\ probability\ mass\\\hspace{30}f(x,k,p)={}_{x+k-1}C_xp^k(1-p)^x\\(2)\ lower\ cumulative\ distribution\\\hspace{30}P(x,k,p)={\large\sum_{t=0}^{x}}f(t,k,p)\\(3)\ upper\ cumulative\ distribution\\\hspace{30}Q(x,k,p)={\large\sum_{t=x}^{n}}f(t,k,p)\\$

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