The distribution of x the intensity of ground motion at a, Basic Statistics

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The distribution of x the intensity of ground motion at a

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.

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