H10:07••.o Define the cumulative sumsSi= a1 + a2+...+ ai andSo = 0.Pick a random integer r uniformlybetween 0 and Sn – 1.-o Find the unique index i between 1and n such that S;-1 (€)10:06••.1. Discrete distribution. Write aprogram DiscreteDistribution.javathat takes an integer command-lineargument m, followed by asequence of positive integercommand-line argumentsa1, a2,..random indices (separated bywhitespace), choosing each index iwith probability proportional to a¡.An, and prints m9 •• •-/Desktop/arrays> java DiscreteDistribution 25 1 1 1 1115 2 4 4 5 5 4 3 4 3 1 5 2 4 2 6 1 3 6 2 3 2 4 1 4~ /Desktop/arrays> java DiscreteDistribution 25 10 10 10 10 10 503 6 6 16 6 2 4 6 6 3 6 6 6 6 4 5 6 2 2 66 2 6 2-/Desktop/arrays> java DiscreteDistribution 25 80 201 2 1 2 1 1 2 1 1 1 1 1 1 11 2 2 2 1 111111~/Desktop/arrays> java DiscreteDistribution 100 301 176 125 97 79 67 58 51 466 2 4 3 2 3 3 1 7 1 1 3 47 1 4 2 2 1 1 3 1 8 6 21 3 6 185 1 3 6 1 1 2 3 8 7 4 6 4 3 1 5 3 3 7 31 3 177 2 2 3 6 5 4 1 1 1 7 2 3 5 2 2 1 4 1 2 12 1 2 2 3 2 8 4 3 2 1 8 3 5 3 3 8 1 2 3 3 1 2 3 1To generate a random index i withprobability proportional to a;:o Define the cumulative sumsS; =a1 + a2 +...+ a; and0.SoPick a random integer r uniformlybetween 0 and Sn – 1.o Find the unique index i between 1and n such that S;-1 < r < S¿.-Geometrically, this subdivides theinterval [0, Sn) into n subintervals[S;-1, S;), with the length ofsubinterval i proportional to aj. Forexample, if the discrete distributionis defined hy.

public class DiscreteDistribution { public static void main(String[] args) { // read in…

Discrete distribution. Write a program DiscreteDistribution.java that takes an integer command-line argument m, followed by a sequence of positive integer command-line arguments A1, a2, . .., An, and prints m random indices (separated by whitespace), choosing each index i with probability proportional to a¡.

Discrete distribution. Write a program DiscreteDistribution.java that takes an integer command-line argument m, followed by a sequence of positive integer command-line arguments A1, a2, . .., An, and prints m random indices (separated by whitespace), choosing each index i with probability proportional to a¡.

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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