# Uniform Distribution

## Uniform Distribution or Rectangular Distribution

Uniform distribution or rectangular distribution is a continuous probability distribution.
Definition-
A random variable X is said to follow uniform or rectangular distribution it follows the following probability distribution function.

And is denoted by X~U(a,b)

## Python Code to Plot Uniform Distribution

import numpy
import matplotlib.pyplot as plt
a=20
b=50
x= numpy.random.uniform(low=a,high=b,size=100)
plt.title(“Uniform Distribution(size=100)”)
plt.plot(x)
plt.savefig(“Uniform Distribution(size=100).png”)

## Applications of Uniform Distribution-

Uniform distribution is widely used by simulators.

• Monte Carlo simulator uses it in risk analysis.
• Network simulators use to set   traffic generation parameters.

Conclusion-

Uniform probability distribution is a simple continuous probability distribution.  Further, it helps to understand basics of probability distribution.  If you want to learn probability distribution functions  in statistics start from uniform distribution.