Binomial Distribution

• Bernoulli Distribution repeated for N independant trials with success Probability q
• Aka N times with only 2 outcomes
• PMF: $p(s)=\left(\genfrac{}{}{0ex}{}{N}{s}\right)q^s(1-q{)}^{N-s}=\frac{N!}{s!(N-s)}{q}^s(1-q{)}^{N-s}$
• s = 0,1,2..N
• $\left(\genfrac{}{}{0ex}{}{N}{s}\right)$ is binomial coefficient
• $X\sim Bi(N,s)$
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