#Random Walk
import random
import numpy as np
import matplotlib.pyplot as plt

walks = []
for walk in range(200):
    position = 0
    for step in range(30):
        if random.random() > 0.4:
            position += 1
        else:
            position -= 1
    walks.append(position)

plt.hist(walks, bins = 20)
plt.show()
#variance
print (np.var(walks))
#mean
print (np.mean(walks))