sim_echant.py

Created by gilles-dhaussy

Created on June 16, 2024

723 Bytes

from math import sqrt
from random import random
from matplotlib.pyplot import *

def succes(p):
  if random()<p:
    res=True
  else:
    res=False
  return res

def frequence_succes(n,p):
  nb_succes=0
  for i in range(n):
    if succes(p):
      nb_succes+=1
  f_succes=nb_succes/n
  return f_succes

def graph_sim(N,n,p):
  axis((-0.1*N,1.1*N,-0.1,1.1))
  text(0,1.1,"N={} et n={}".format(N,n))
  plot([-0.1*N,1.1*N],[p,p],
    color="red")
  plot([-0.1*N,1.1*N],
    [p-1/sqrt(n),p-1/sqrt(n)],
    color="green")
  plot([-0.1*N,1.1*N],
    [p+1/sqrt(n),p+1/sqrt(n)],
    color="green")
  Lx=list(range(1,N+1))
  Ly=[]
  for i in range(N):
    Ly.append(frequence_succes(n,p))
  scatter(Lx,Ly)
  show()

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