Binomial distribution

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the binomial distribution can be defined as the number of successes in a sequence of n independent experiments, each of them leading to success with probability p. It is a discrete probability distribution defined on the range [0, \infty].

The probability of each natural number k is:

 p(k) = C_{n}^{k} p^k(1-p)^{n-k}

where C_{n}^{k} = \frac{n!}{k!(n-k)!}

Bar charts of the Binomial distribution with 10000 samples for various values of the parameters

External link

Binomial distribution

See Also