Distribution

Intermediate Python

Hugo Bowne-Anderson

Data Scientist at DataCamp

Distribution

Random Walk

headtailsrw.py

import numpy as np
np.random.seed(123)
tails = [0]
for x in range(10) :
    coin = np.random.randint(0, 2)
    tails.append(tails[x] + coin)

100 runs

distribution.py

import numpy as np
np.random.seed(123)
final_tails = []

for x in range(100) :
    tails = [0]
    for x in range(10) :
        coin = np.random.randint(0, 2)
        tails.append(tails[x] + coin)

    final_tails.append(tails[-1])

print(final_tails)

[3, 6, 4, 5, 4, 5, 3, 5, 4, 6, 6, 8, 6, 4, 7, 5, 7, 4, 3, 3, ..., 4]

Histogram, 100 runs

distribution.py

import numpy as np

import matplotlib.pyplot as plt

np.random.seed(123)
final_tails = []
for x in range(100) :
    tails = [0]
    for x in range(10) :
        coin = np.random.randint(0, 2)
        tails.append(tails[x] + coin)     
    final_tails.append(tails[-1])

plt.hist(final_tails, bins = 10)
plt.show()

Histogram, 100 runs

Histogram, 1,000 runs

distribution.py

import numpy as np
import matplotlib.pyplot as plt

np.random.seed(123)
final_tails = []
for x in range(1000) : # <--
    tails = [0]
    for x in range(10) :
        coin = np.random.randint(0, 2)
        tails.append(tails[x] + coin)     
    final_tails.append(tails[-1])

plt.hist(final_tails, bins = 10)
plt.show()

Histogram, 1,000 runs

Histogram, 10,000 runs

distribution.py

import numpy as np
import matplotlib.pyplot as plt

np.random.seed(123)
final_tails = []
for x in range(10000) : # <--
    tails = [0]
    for x in range(10) :
        coin = np.random.randint(0, 2)
        tails.append(tails[x] + coin)     
    final_tails.append(tails[-1])

plt.hist(final_tails, bins = 10)
plt.show()

Histogram, 10,000 runs

Let's practice!

Intermediate Python