import numpy as np
import numpy.random as rd 
import matplotlib.pyplot as plt 

X = rd.binomial(10, 0.4, 10000)
f = np.zeros(11)
for k in range (0,11):
    f[k] = np.mean(X == k)
print(f)

x = np.linspace(0,10,11)
plt.scatter(x,f)
plt.show()

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