Uniform distribution

This very common distribution is the first continuous distribution that we will see. As the name implies, it has a constant probability value for any interval of the domain.

In order to integrate to 1, a and b being the extreme of the function, this probability has the value of 1/(b-a).

Let's generate a plot with a sample uniform distribution using a very regular histogram, as generated by the following code:

    plt.figure() 
    uniform_low=0.25 
    uniform_high=0.8 
                         
    plt.hist(uniform, 50, normed=1) 
    plt.show() 

Take look at the following graph: