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Write a program brown.py that simulates two - dimensional Brown motion by the following crude model. Particles move in discrete time steps, at each step

Write a program brown.py that simulates two-dimensional Brown motion by the following crude
model. Particles move in discrete time steps, at each step advancing by a fixed distance in a
random direction, described by an angle drawn from a uniform distribution over [0,2\pi ).
Have your program simulate this motion for an ensemble of 5000 particles over 1000 time steps.
Have the program output a set of three histograms drawn in a common figure (window), describing
the distribution of the distance from the initial position of the particles forming the ensemble after
50,250 and 1000 steps. The histograms should use 100 bins and include titles and axis labels. Take
the time step as a unit of time, and the distance traveled in a single step as the unit of length.
Provide, either within the titles or in descriptive text incorporated into the pictures, the values of
mean distance traveled and its standard deviation over the ensemble of particles.

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