Bernoulli distribution¶
A bernouli random variable is a random variable that can take up two mutually exclusive states \((0,1)\) $\( X \sim Ber(p) \)$
\(0 \le p \le 1\)
With probability:
\[\begin{split}
p(x) \begin{cases}
p, & \text{ if } x = 1 \\
1 - p & \text{ if } x = 0
\end{cases}
\end{split}\]
Bernoulli trial¶
Is an experiment which results in either an success or a failure. An Bernoulli random variable acts as an indicator of success.