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Write a program that takes an integer N and uses the function “np.random.randint(low = 0, high = N)” to generate a random sequence of integers between 0 and N-1. Run experiments to validate the hypothesis that the number of integers generated before the first repeated value is found is “~sqrt(pi * N / 2)”.   please help with last part  Show that as n increases (e.g. with a doubling experiment), from n = 2 to n = 1,000, the value of “day_sim(n)” approaches “sqrt(pi * n / 2)”.

Write a program that takes an integer N and uses the function “np.random.randint(low = 0, high = N)” to generate a random sequence of integers between 0 and N-1. Run experiments to validate the hypothesis that the number of integers generated before the first repeated value is found is “~sqrt(pi * N / 2)”.   please help with last part  Show that as n increases (e.g. with a doubling experiment), from n = 2 to n = 1,000, the value of “day_sim(n)” approaches “sqrt(pi * n / 2)”.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Write a program that takes an integer N and uses the function “np.random.randint(low = 0, high = N)” to generate a random sequence of integers between 0 and N-1. Run experiments to validate the hypothesis that the number of integers generated before the first repeated value is found is “~sqrt(pi * N / 2)”.

 

please help with last part 

Show that as n increases (e.g. with a doubling experiment), from n = 2 to n = 1,000, the value of “day_sim(n)” approaches “sqrt(pi * n / 2)”.

import random from random import randint import numpy as np def randomgen (n): np. random. randint (low return random. randint (0,n-1) 0, high = n) randomgen (100) def day (n): result = [] random = randomgen (n) count =0 while random not in result: result.append (random) random = randomgen (n) count += 1 return count day (100) def day_sim(n): n_trials = 10000 day_sim = [birthday(n) for _ in range(n_trials)] return day_sim day_sim(100)
Transcribed Image Text:import random from random import randint import numpy as np def randomgen (n): np. random. randint (low return random. randint (0,n-1) 0, high = n) randomgen (100) def day (n): result = [] random = randomgen (n) count =0 while random not in result: result.append (random) random = randomgen (n) count += 1 return count day (100) def day_sim(n): n_trials = 10000 day_sim = [birthday(n) for _ in range(n_trials)] return day_sim day_sim(100)
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