What is bernoulli distribution?

Answer

A Bernoulli trial is a random experiment with only two mutually exclusive outcomes.

Arguably, the success is the occurrence of the event and failure is marked by non-occurrence of an event.

Let x be a random variable such that x=1. If the outcome is a success and x=0 if the outcome is a failure.

The Bernoulli formula

$x=\left\{\begin{array}{l}1 , if an outcome is a success\\ 0 , if an outcome is a failure\end{array}\right.$

This implies that:

$Pr(x=1)$

$Pr(x=0)=1-p=q$

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