Your are exploring how your skill in EVT can also be used in other applications. Please describe the importance of analyzing 'extreme and rare' events in the following scenarios:

Choosing among metal alloys as fuse$-$element to protect medical equipment from damage caused by overcurrent, based on the alloys' empirical melting points. Which would be of particular interest, Xmin or Xmax of alloy's meting point? Why?

Designing ship's ballast intake filter to prevent sediments in water from entering, accumulating, and 'fouling' the ballast water pump. Which would be of particular interest, Xmin or Xmax of sediment accumulation on the filter element? Why?

Designing a waiting area in the ER that will allow social distancing and prevent incoming patients from 'balking' and already$-$waiting patients from 'reneging'.

Which would be of particular interest, Xmin or Xmax of patients' waiting times? Why?

Which would be of particular interest, Xmin or Xmax of doctors' service times per patient? Why?

Detecting impending DDoS attack based on burst of data request going into a web server from outside routers and switches.

Which would be of particular interest, Xmin or Xmax of bursts of data request traffic? Why?

Which would be of particular interest, Xmin or Xmax of time the web server takes to respond to each data request? Why?