Question: Write a Python program to numerically perform a random walk of a specified number of steps. Plot the value of the random walk as a

Write a Python program to numerically perform a random walk of a specified number of steps.

  1. Plot the value of the random walk as a function of time for N=100,000 steps.
  2. Plot the squared displacement as a function of time for 1 walk with N=100,000 steps.
  3. Plot the mean squared displacement as a function of time averaged over 10, 100, and 1000 realizations of random walks with N=100,000 steps.

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