均匀分布

import numpy as np
from matplotlib import pyplot as plt

# 定义x的取值范围
# print(x) # -99-99
x = np.arange(-100, 100)

# 闭区间[a,b]上每个变量出现的概率相等
def uniform(x, a , b):
  # prob的取值要么是1/(b-a)，要么是0
  prob = [1/(b-a) if a <= v and v <= b else 0 for v in x]
  # 返回x,prob,以及随机变量出现概率的均值和方差
  return x, prob, np.mean(prob), np.std(prob)

# 给定两个区间,且这两个区间位于（-100, 100）内
list = [(-50, 50), (20, 30)]
for li in list:
  a, b = li[0], li[1]
  x, prob, m, s = uniform(x, a, b)
  # mu代表均值u,sigma代表标准差
  plt.plot(x, prob, label=r'$\mu=%.2f,\ \sigma=%.2f$' %(m ,s))

# 画出两个子区间均匀分布的图形
plt.legend()
plt.savefig('./uniform.png')
plt.show()