Aggregated computing capacity: The SOM currently has about $100$ instructors, each of whom is

given a laptop computer to use in the classroom. These laptops have course slides and associated

software $($access$,$ excel, etc.$)$ used during a lecture. A recent proposal is advocating for hosting these

slides and software on a central computer. According to this proposal, the instructors will use a keyboard and a computer screen in the classroom to connect to the central computer to project their slides

and to use the software. Each of the laptops currently has $1\mathrm{.}8$ GHz processing capacity and $75$ GB

storage capacity. Suppose that if $100$ laptops are connected appropriately $($with an efficient parallel

processing architecture$)$ the total processing capacity will become $180$ GHz while the total storage

capacity becomes $7500$ GB$.$ First note that the capacity demanded by each instructor is random. Then

provide a verbal argument for why the central computer can serve the instructors as well as $100$ laptops even it has less capacity than $180$ GHz and $7500$ GB$.$ Use the concept that extreme values cancel

each other in aggregation.