You are using the new UI (Beta).Return to the original UI

This page has been automatically translated by machine translation. Please note that translations may not be entirely accurate.

keisanHigh-precision calculations for everyday life and work
Login|Register

Binomial Distribution

TOP/Statistical Functions/Binomial distribution
Manage Bookmarks
Calculate the probability mass and the lower and upper cumulative probabilities of the binomial distribution.
Number of successes x
0≦x≦n
Number of trials n
n=1,2,...
Probability of success per trial p
0≦p≦1
\(\normalsize Binomial\ distribution\\ (1)\ probability\ mass\\ \hspace{30px}f(x,n,p)={}_nC_xp^x(1-p)^{n-x}\\ (2)\ lower\ cumulative\ distribution\\ \hspace{30px}P(x,n,p)={\large\displaystyle \sum_{t=0}^{x}}f(t,n,p)\\ (3)\ upper\ cumulative\ distribution\\ \hspace{30px}Q(x,n,p)={\large\displaystyle \sum_{t=x}^{n}}f(t,n,p)\\ (4)\ expectation(mean):\hspace{10px}np\\\)

No customer feedback for this calculation yet.