बायनोमियल प्रायिकता कैलकुलेटर

$P(X = k) = C(n,k)p^k(1-p)^{n-k}$

$C(n,k) = \frac{n!}{k!(n-k)!}$

$P(X \le k) = \sum_{i=0}^{k} C(n,i)p^i(1-p)^{n-i}$

$P(X \ge k) = \sum_{i=k}^{n} C(n,i)p^i(1-p)^{n-i}$

$P(a \le X \le b) = \sum_{i=a}^{b} C(n,i)p^i(1-p)^{n-i}$

$\mu = np, \quad \sigma = \sqrt{np(1-p)}$