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The birthday paradox says that the probability that two people in a room will have the same birthday is more than half, provided n, the number of people in the room, is more than 23. This property is not really a paradox, but many people find it surprising. Design a Java program that can test this paradox by a series of experiments on randomly generated birthdays, which test this paradox for n = 5, 10, 15, 20,..., 100. Be sure to make your output the same as the output below, use Scanner, # of students, # of trials wanted to run, if you want to see all the matching trials (yes or no), the theoretical probability of a match, found matches, actual percentage, and if you want to run another trial (yes or no). This image is an example of the output:

The birthday paradox says that the probability that two people in a room will have the same birthday is more than half, provided n, the number of people in the room, is more than 23. This property is not really a paradox, but many people find it surprising. Design a Java program that can test this paradox by a series of experiments on randomly generated birthdays, which test this paradox for n = 5, 10, 15, 20,..., 100. Be sure to make your output the same as the output below, use Scanner, # of students, # of trials wanted to run, if you want to see all the matching trials (yes or no), the theoretical probability of a match, found matches, actual percentage, and if you want to run another trial (yes or no). This image is an example of the output:

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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The birthday paradox says that the probability that two people in a room will have the same birthday is more than half, provided n, the number of people in the room, is more than 23. This property is not really a paradox, but many people find it surprising. Design a Java program that can test this paradox by a series of experiments on randomly generated birthdays, which test this paradox for n = 5, 10, 15, 20,..., 100. Be sure to make your output the same as the output below, use Scanner, # of students, # of trials wanted to run, if you want to see all the matching trials (yes or no), the theoretical probability of a match, found matches, actual percentage, and if you want to run another trial (yes or no).

This image is an example of the output:

 

how many students are in the class? 23 how many trials do you want to run? 10 do you want to see all the matching trials (Y or N) ? Y the theoretical probability of a match is: 0.50730 found match on student 16, month = 4, day = 16 found match on student 17, month = 4, day = 25 found match on student 22, month = 2, day = 20 found match on student 2, month = 7, day = 17 using 23 students and 10 trials, the number where same birthday was present is: 4 which is 40.00% do you want run another tria1 (Y or N)?
Transcribed Image Text:how many students are in the class? 23 how many trials do you want to run? 10 do you want to see all the matching trials (Y or N) ? Y the theoretical probability of a match is: 0.50730 found match on student 16, month = 4, day = 16 found match on student 17, month = 4, day = 25 found match on student 22, month = 2, day = 20 found match on student 2, month = 7, day = 17 using 23 students and 10 trials, the number where same birthday was present is: 4 which is 40.00% do you want run another tria1 (Y or N)?
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