Bernoulli distribution #probability #statistics Definition XX random variable with Bernoulli distribution, then Pr(X=1)=p=1−P(X=0)=1−q\Pr(X = 1) = p=1-P(X=0)=1-q probability density function fn(k)=(nk)pk(1−p)n−k,k∈{0,1,…,n}f_n(k) = \binom{n}{k} p^k (1 - p)^{n-k}, \quad k \in \{0, 1, \ldots, n\} See also continuous Bernoulli distribution References https://www.randomservices.org/random/bernoulli/Binomial.html