In all programming assignments in this course, it is NOT allowed to use any library or package function to directly generate random numbers that follow Poisson Distribution, Exponential Distribution, or any other advanced distributions. --- Writing such random number generators is a main purpose of this assignment. The only exception that you are allowed to directly use is the ones that generate random numbers that follow a Uniform Distribution. E.g., rand() in C.   A computing system is composed of two servers that are mirrors of each other (for redundancy, so if one fails, it can be restored from the other). Assume that each server has an expected MTBF of 500 hours and its continuous uptimes (the average of which is MTBF) follow an Exponential Distribution. Furthermore, assume that when a server fails, it takes exactly 10 hours to restore the data from the mirror. (a) Write a program that generates synthetic data showing the failure and restoration times for each server over 20 years. You can assume it is always exact 24 hours per day and exact 365 days per year.

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
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In all programming assignments in this course, it is NOT allowed to use any library
or package function to directly generate random numbers that follow Poisson
Distribution, Exponential Distribution, or any other advanced distributions. ---
Writing such random number generators is a main purpose of this assignment.
The only exception that you are allowed to directly use is the ones that generate
random numbers that follow a Uniform Distribution. E.g., rand() in C.
 
A computing system is composed of two servers that are mirrors of each other (for
redundancy, so if one fails, it can be restored from the other). Assume that each server
has an expected MTBF of 500 hours and its continuous uptimes (the average of which
is MTBF) follow an Exponential Distribution. Furthermore, assume that when a server
fails, it takes exactly 10 hours to restore the data from the mirror.

(a) Write a program that generates synthetic data showing the failure and restoration
times for each server over 20 years. You can assume it is always exact 24 hours per day
and exact 365 days per year. 
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