Damaging earthquakes in an area occur following a Poisson probability mass function. In the past 100 years, there have been 11 such damaging earthquakes in the area. (a) Compute the probability that in the next 10 years, there will not be any such earthquakes in the area. (b) If such an earthquake occurs, there is a 0.02 probability that a bridge located in the area will be damaged. Compute the probability of damage to the bridge because of probable earthquakes in the next 10 years.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Damaging earthquakes in an area occur following a Poisson probability mass function. In the
past 100 years, there have been 11 such damaging earthquakes in the area.
(a) Compute the probability that in the next 10 years, there will not be any such earthquakes in
the area.
(b) If such an earthquake occurs, there is a 0.02 probability that a bridge located in the area will
be damaged. Compute the probability of damage to the bridge because of probable
earthquakes in the next 10 years.
Transcribed Image Text:Damaging earthquakes in an area occur following a Poisson probability mass function. In the past 100 years, there have been 11 such damaging earthquakes in the area. (a) Compute the probability that in the next 10 years, there will not be any such earthquakes in the area. (b) If such an earthquake occurs, there is a 0.02 probability that a bridge located in the area will be damaged. Compute the probability of damage to the bridge because of probable earthquakes in the next 10 years.
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