Data Structures and Algorithms in Java
Data Structures and Algorithms in Java
6th Edition
ISBN: 9781118771334
Author: Michael T. Goodrich
Publisher: WILEY
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Chapter 1, Problem 29P

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.

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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.
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:
RandomWalker.java   A drone begins flying aimlessly, starting at  Nassau Hall (0, 0).  At each time step, the drone flies one meter in a random direction, either north, east, south, or west, with probability 25%. How far will the drone be from  Nassau Hall after n steps? This process is known as a two-dimensional random walk.    Write a program RandomWalker.java that takes an integer command-line argument n and simulates the motion of a random walk for n steps. Print the location at each step (including the starting point), treating the starting point as the origin (0, 0). Also, print the square of the final Euclidean distance from the origin.

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