text: import numpy as np
  import matplotlib.pyplot as plt
  
  #Example 1.
  #Measureable Space X
  x = np.random.poisson(5, 1000)
  plt.hist(x)
  
  #Function 
  def fun(input):
      y = np.sqrt(x)
      return(y)
  
  #Transformation on Y
  y = np.apply_along_axis(fun, 0, x)
  plt.hist(y)
  
  #Example 2. 
  #Simulate a coin toss
  ct = []
  for i in range(100):
      ct.append(np.random.randint(2,size = 100))
  plt.hist(ct) #Let head's be 1.
  
  #Random variable is sum of all Heads
  sh = []
  for i in range(100):
      sh.append(np.sum(ct[i]))
  plt.hist(sh)
  
  #Example 3.
  x = []
  for i in range(20):
      x.append(np.random.poisson(5, 1000))
  plt.hist(x)
  
  #Function 
  def fun(input):
      y = (input*3) - 4
      return(y)
  
  #Transformation on Y
  y = np.apply_along_axis(fun, 0, x)
  plt.hist(y)
  
  
  