📖Glossary📖
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Binomially distributed random variable : A binomially distributed random variable $X$ with parameters $n,p$ is a random variable with $P[X=k]=\binom{n}{k}p^k(1-p)^{n-k}$ for $0\leq k\leq n.$ Its expected value is $E[X]=np$ and its variance is $var[X]=np(1-p).$ The sum of n independent Bernoulli random variables with parameter $p$ is binomially distributed with parameters $n,p.$