Question $1$: Consider this scenario: A company operates a server farm that houses critical data and applications. The company has $100$ servers, each valued at $$10,000.$ The servers run $24/7$ and are accessed remotely by employees and clients. Over the past two years, the company has experienced an average of one server failure every quarter, resulting in downtime and potential data loss. The estimated cost of downtime and data recovery due to a server failure is $$50,000$ per incident.

The company is considering implementing a monitoring and alerting system that will provide real$-$time notifications of potential server failures. The cost of the monitoring and alerting system is $$2,000$ per server. It is estimated that with the monitoring and alerting system in place, the company will experience only one server failure every two years.

The company wants to determine whether it should invest in the monitoring and alerting system.

Please calculate the following:

Single Loss Expectancy $($SLE$),$ Annualized Rate of Occurrence $($ARO$),$ Annualized Loss Expectancy $($ALE$),$ the cost of control, and savings with control?