Normal distribution

This very common continuous random function, also called a Gaussian function, can be defined with the simple metrics of the mean and the variance, although in a somewhat complex form.

This is the canonical form of the function:

Take a look at the following code snippet:

    import matplotlib.pyplot as plt #Import the plot library 
    import numpy as np 
    mu=0. 
    sigma=2. 
    distro = np.random.normal(mu, sigma, 10000) 
    plt.hist(distro, 100, normed=True) 
    plt.show() 

The following graph shows the generated distribution's histogram: