Structures in a county need to be designed for earthquake loading. After a detailed seismic risk analysis of the county, it is observed that the peak ground acceleration A observed in an earthquake event can be modeled by an exponential distribution with a mean of 0.2g. If A exceeds 0.4g, structures in the county will suffer significant damage. Assume that earthquakes
Structures in a county need to be designed for earthquake loading. After a detailed
seismic risk analysis of the county, it is observed that the peak ground acceleration
A observed in an earthquake event can be modeled by an exponential distribution
with a mean of 0.2g. If A exceeds 0.4g, structures in the county will suffer significant
damage. Assume that earthquakes occur on the average once every 2 years in the
county, and the damage from different earthquakes is statistically independent.
(a)
What is the probability that there will be exactly two earthquakes in the next 50
years?
(b) What is the probability of significant structural damage in an earthquake?
(c) What is the probability of no significant structural damage due to earthquakes in
a year?
(d) What is the probability of no significant structural damage due to
earthquakes in the next 50 years?
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