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keisanHigh-precision calculations for everyday life and work

Binomial Distribution (Percentile)

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Calculate the percentile based on the lower or upper cumulative probability value of a binomial distribution.
Cumulative Mode
Cumulative Probability
0≦P,Q≦1
Number of trials n
n=1,2,...
Probability of success in a single trial p
0≦p≦1
\(\normalsize Binomial\ distribution\\ (1)\ probability\ mass\\ \hspace{30px}f(x,n,p)={}_nC_xp^x(1-p)^{n-x}\\ (2)\ lower\ cumulative\ distribution\\ \hspace{30px}P(x,n,p)={\large\displaystyle \sum_{t=0}^{x}}f(t,n,p)\\ (3)\ upper\ cumulative\ distribution\\ \hspace{30px}Q(x,n,p)={\large\displaystyle \sum_{t=x}^{n}}f(t,n,p)\\\)

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