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keisanHigh-precision calculations for everyday life and work

Negative Binomial Distribution (Graphs)

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Displays graphs of the probability mass function, lower cumulative distribution function, and upper cumulative distribution function for the negative binomial distribution.
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Number of successes k
k=1,2,...
Probability of success in a single trial p
0≦p≦1
[ Initial value of x
Number of failures before k successes
]
\(\normalsize Negative\ Binomial\ distribution\\ (1)\ probability\ mass\\ \hspace{30px}f(x,k,p)={}_{x+k-1}C_xp^k(1-p)^x\\ (2)\ lower\ cumulative\ distribution\\ \hspace{30px}P(x,k,p)={\large\displaystyle \sum_{t=0}^{x}}f(t,k,p)\\ (3)\ upper\ cumulative\ distribution\\ \hspace{30px}Q(x,k,p)={\large\displaystyle \sum_{t=x}^{\infty}}f(t,k,p)\\\)

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