Binomial distribution: the Galton board

$X\sim\mathrm{B}(n,p)$ 
Expectation (mean), $\mathrm{E}(X)=np$ Variance, $\mathrm{Var}(X)=np(1-p)$ 
•	The experiment has&nbsp;$n$ repeated trials. •	Each trial has&nbsp;$2$ mutually exclusive outcomes. •	The probability of success, $p$, is the same of each trial. •	The trials are independent of each other.

Expectation (mean), $\mathrm{E}(X)=np$
Variance, $\mathrm{Var}(X)=np(1-p)$ 

•	The experiment has $n$ repeated trials.
•	Each trial has $2$ mutually exclusive outcomes.
•	The probability of success, $p$, is the same of each trial.
•	The trials are independent of each other. 

Binomial Distribution

Binomial Distribution

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