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Binomial Distribution

In Probability,

  • 2 outcomes
  • 1 or more trials → nn trials
  • XX is the number of heads (successes).
  • x∈{0, 1, 2, ⋯ , n}x \in \{0,~1,~2,~\cdots~,~n\}

Then,

P(X=x)=(nx)pxqn−xP(X = x) = {n \choose x} p^x q^{n-x}