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**Answer**

The Binomial distribution describes a behavior of a random variable x where the following conditions apply;

- Consists of n indentical and independent trial.
- There are only two possible outcomes on each trial- success and failure.
- The probability of success p is the same for each outcome.

Binomial distribution CDF ; $F\left(x;p,n\right)=\sum _{i=0}^{x}\left(\begin{array}{c}n\\ i\end{array}\right){\left(p\right)}^{i}{\left(1-p\right)}^{(n-i)}$

Binomial Distribution PMF; $P\left(x;p,n\right)=\left(\begin{array}{c}n\\ x\end{array}\right){\left(p\right)}^{z}{\left(1-p\right)}^{(n-x)}forx=0,1,2,3.......n$

where $\left(\begin{array}{c}n\\ x\end{array}\right)=\frac{n!}{x!(n-x)!}$

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