Random Numbers (UMAP)

This module involves applications of statistics. In this module three facets of random numbers are considered: ways to generate them, tests for their randomness, and applications of them.

Table of Contents:

1. INTRODUCTION
1.1 Why Study Random Numbers?
1.2 Are They Really Random?
1.3 Two Elementary Functions

2. GENERATING RANDOM NUMBERS
2.1 The Middle-Square Method
2.2 The Linear Congruence Method

3. TESTING FOR RANDOMNESS
3.1 A Basic Test
3.2 Other Tests

4. APPLICATIONS
4.1 Gambling
4.2 Area
4.3 Queuing Simulation

5. REFERENCES

6. ANSWERS TO EXERCISES

7. MODEL EXAM

8. ANSWERS TO MODEL EXAM