How to draw probability distribution histogram by Python

Xiaobian to share with you how Python draws probability distribution histogram, I believe most people still do not know how, so share this article for your reference, I hope you have a lot of gains after reading this article, let's go to understand it together!

preface

Histogram is a tool that can quickly show the probability distribution of data, intuitive and easy to understand, and loved by data enthusiasts. You may usually see at most matplotlib, seaborn and other high-level package libraries, similar to the following drawings.

I. Code

1. Case 1

import randomimport numpy as npimport matplotlib.pyplot as pltX = np.random.normal(loc=10, scale=2, size=(1, 1000))[0]Y = np.random.normal(loc=10, scale=1.0, size=(1, 1000))[0]P = np.ones(1000)P[:600] = 0np.random.shuffle(P)# print(P)Z = X + Y * Pplt.hist(Z, density=True, bins=150)plt.show()

2. Case 2

import randomimport numpy as npimport matplotlib.pyplot as pltn = 1000# p = 0.4U = []for i in range(1000): X = np.random.normal(loc=10, scale=2, size=(1, n))[0] Y = np.random.normal(loc=10, scale=1.0, size=(1, n))[0] P = np.ones(n) P[:600] = 0 np.random.shuffle(P) Z = X + Y * P a = 1 / pow(n * np.var(Z), 1/2) b = sum(Z) - n * np.mean(Z) u = a * b U.append(u)plt.hist(U, density=True, bins=60)plt.show()

1. Case 1

2. Case 2

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