Import necessary libraries



In [3]:

    
import numpy as np

%matplotlib inline
from matplotlib import pyplot as plt

Generate Normal & Pareto random numbers



In [39]:

    
np.random.seed(1087)

X_norm = np.random.normal(size=(500))
X_poisson = np.random.pareto(5, size=(500))

Plot histogram of random variables



In [40]:

    
fig, ax = plt.subplots(2,1, figsize=(15, 10))

ax[0].hist(X_norm, bins=50, density=True, label='normal', color='b', alpha=0.3)
ax[1].hist(X_poisson, bins=50, density=True, label='pareto', color='r', alpha=0.3)
ax[0].legend(loc='best');
ax[0].set_title('Normal Distribution');
ax[1].legend(loc='best');
ax[1].set_title('Pareto α=5 Distribution');



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