Binomial Probability Distribution (visualization using Seaborn)

Binomial Probability Distribution 



"pmf" is "Probability Mass Function" or "Probability Distribution".

"rv" is "Random Variable".



Note: Binomial Distribution is a Discrete Distribution.

Visualization of Binomial Distribution 



Difference Between Normal and Binomial Distribution 

The main difference is that normal distribution is continous whereas binomial is discrete, but if there are enough data points it will be quite similar to normal distribution with certain loc and scale.

We have code that produces overlapped "Normal" and "Binomial" distributions. We will show some of the best and some of the worst overlaps.

number_of_trials = 150

for s in range(1000, 100000000, 1000000): 
    print("size:", s)
    sns.distplot(random.binomial(n = number_of_trials, p=0.5, size=s), hist=False, label='binomial')

    sns.distplot(random.normal(loc = number_of_trials / 2, 
                               scale=5, size=s), hist=False, label='normal')

    plt.show() 
	
Best Overlaps



Worst Overlaps



References 
% numpy.org