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My Birthday Program Write a well-documented Python program, hmwk4Q5.py, that simulates multiple trials of a person walking into a room on N people and determining if their birthday matches any of the other N people in the room. Have your program run the experiment 100, 1000, and 10000 times respectively. For each trial, form three lists of the results as the number of people are varied from 2 to 400 people. The first list is for 100 trials, the second list is for 1000 trials, and the third list is for the 10,000 trials Percentage 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 50 Probability of Being My Birthday - Monte Carlo Simulation 100 150 200 Number of People 250 300 350 100 1000 10000 400

My Birthday Program Write a well-documented Python program, hmwk4Q5.py, that simulates multiple trials of a person walking into a room on N people and determining if their birthday matches any of the other N people in the room. Have your program run the experiment 100, 1000, and 10000 times respectively. For each trial, form three lists of the results as the number of people are varied from 2 to 400 people. The first list is for 100 trials, the second list is for 1000 trials, and the third list is for the 10,000 trials Percentage 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 50 Probability of Being My Birthday - Monte Carlo Simulation 100 150 200 Number of People 250 300 350 100 1000 10000 400

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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My Birthday Program Write a well-documented Python program, hmwk4Q5.py, that simulates multiple trials of a person walking into a room on N people and determining if their birthday matches any of the other N people in the room. Have your program run the experiment 100, 1000, and 10000 times respectively. For each trial, form three lists of the results as the number of people are varied from 2 to 400 people. The first list for 100 trials, the second list is for 1000 trials, and the third list is for the 10,000 trials Percentage 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 0 50 Probability of Being My Birthday - Monte Carlo Simulation 100 шильны 150 200 Number of People 250 300 350 100 1000 10000 400
Transcribed Image Text:My Birthday Program Write a well-documented Python program, hmwk4Q5.py, that simulates multiple trials of a person walking into a room on N people and determining if their birthday matches any of the other N people in the room. Have your program run the experiment 100, 1000, and 10000 times respectively. For each trial, form three lists of the results as the number of people are varied from 2 to 400 people. The first list for 100 trials, the second list is for 1000 trials, and the third list is for the 10,000 trials Percentage 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 0 50 Probability of Being My Birthday - Monte Carlo Simulation 100 шильны 150 200 Number of People 250 300 350 100 1000 10000 400
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Step 1

Solving this with NumPy and matplotlib makes it easy to plot the graph. We need to find the probability of the number of people matching our guy's birthday across multiple trials. We will use generate random birthdays for every one of our people in the list which can be done using the size attribute in random.randint function in NumPy. Run the code in your terminal with python filename.py. You will see the plot in a new window

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