Mastering pandas - Second Edition

Discrete uniform distribution

The discrete uniform distribution is a distribution that models an event with a finite set of possible outcomes where each outcome is equally likely to be observed. For n outcomes, each has a probability of occurrence of 1/n.

An example of this is throwing a fair die. The probability of any of the six outcomes is 1/6. The PMF is given by 1/n, and the expected value and variance are given by (max + min)/2 and (n² -1)/12 respectively:

from matplotlib import pyplot as plt
import matplotlib.pyplot as plt
X=range(0,11)
Y=[1/6.0 if x in range(1,7) else 0.0 for x in X]
plt.plot(X,Y,'go-', linewidth=0, drawstyle='steps-pre', 
    label="p(x)=1/6")
plt.legend(loc="upper left")plt.vlines(range(1,7),0,max(Y), linestyle='-') ...