3.14 A structure with a design life of 50 yr is planned for a site where high-intensity earthquakes may occur with a return period of 100 yr. The structure is designed to have a 0.99 probability of not suffering damage within its design life. Damage effects between earthquakes are statistically independent. (a) If the occurrence of high-intensity earthquakes at the site is modeled by a Bernoulli sequence, what is the probability of damage to the structure under a single earthquake? (b) Using the damage probability to a single earthquake from Part (a), what would be the probability of damage to the structure in the next 20 yr, assuming that the occurrences of earthquakes constitute a Poisson process?

3.14 A structure with a design life of 50 yr is planned for a site where high-intensity earthquakes may occur with a return period of 100 yr. The structure is designed to have a 0.99 probability of not suffering damage within its design life. Damage effects between earthquakes are statistically independent. (a) If the occurrence of high-intensity earthquakes at the site is modeled by a Bernoulli sequence, what is the probability of damage to the structure under a single earthquake? (b) Using the damage probability to a single earthquake from Part (a), what would be the probability of damage to the structure in the next 20 yr, assuming that the occurrences of earthquakes constitute a Poisson process?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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