In a seismic hazard analysis, the magnitude of the earthquake (Richter's scale) is modeled with a Type Il extreme value distribution of the largest value. In a certain geographical region, data have been collected for 50 years, and the annual maximum values of the earthquake magnitude have a mean value of 4.0 and a standard deviation of 2.0. It is estimated that an earthquake with a magnitude of 9.0 or more will devastate the region. What is the probability that the annual maximum magnitude will be greater than or equal to 9.0?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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In a seismic hazard analysis, the magnitude of the earthquake (Richter's scale) is
modeled with a Type IlI extreme value distribution of the largest value. In a
certain geographical region, data have been collected for 50 years, and the
annual maximum values of the earthquake magnitude have a mean value of 4.0
and a standard deviation of 2.0. It is estimated that an earthquake with a
magnitude of 9.0 or more will devastate the region. What is the probability that
the annual maximum magnitude will be greater than or equal to 9.0?
0.001717
0.034344
O 0.003434
O 0.017172
Transcribed Image Text:In a seismic hazard analysis, the magnitude of the earthquake (Richter's scale) is modeled with a Type IlI extreme value distribution of the largest value. In a certain geographical region, data have been collected for 50 years, and the annual maximum values of the earthquake magnitude have a mean value of 4.0 and a standard deviation of 2.0. It is estimated that an earthquake with a magnitude of 9.0 or more will devastate the region. What is the probability that the annual maximum magnitude will be greater than or equal to 9.0? 0.001717 0.034344 O 0.003434 O 0.017172
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