Bernoulli Distribution

Two categories with probability p and 1p respectively.

For each experiment, the sample space is {A,B}. The probability for state A is given by p and the probability for state B is given by 1p. The Bernoulli distribution describes the probability of K results with state s being s=A and NK results with state s being B after N experiments,

P(iNsi=K)=CNKpK(1p)NK.

Planted: by ;

L Ma (2020). 'Bernoulli Distribution', Datumorphism, 03 April. Available at: https://datumorphism.leima.is/cards/statistics/distributions/bernoulli/.