The distribution of X, the intensity of ground motion at a site, given that an earthquake larger in magnitude than m0 , say 5, occurs in some neighboring region, is Fx(x) Show that the CDF of Y, the maximum intensity at the site in a period of time t, is Fy(y) = e-rt [1 - Fx(y)]if the average number of earthquakes (greater than m0 ) in the region is ν per unit time and if these occurrences may be treated as Poisson arrivals.