Refer to the concepts of new better than used (NBU) and new worse than used (NWU) in Theoretical Exercise 5.6. Show that the exponential distribution satisfies both the NBU and NWU properties. (Such a “life” distribution is said to be new same as used or memoryless.)

Data from Exercise 5.6

Rising sea levels are a threat to coastal cities in the United States. Consequently, for planning purposes it is important to have accurate forecasts of the future rise in sea level. The Journal of Waterway, Port, Coastal, and Ocean Engineering (March/April, 2013) published a study which used a statistical probability distribution to model the projected rise in sea level.