The highway system for transportation between cities A and B includes two parallel bridges C and...
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The highway system for transportation between cities A and B includes two parallel bridges C and D that cross a fault line. In the event of an earthquake on the fault, each bridge will fail if the fault rupture crosses it. Other parts of the highway system are not vulnerable to earthquakes. (a) Determine the probability of failure of the highway system, i.e., the probability that transportation between cities A and B will be interrupted if an earthquake caused by a 100 km long rupture occurs on the fault. Assume the rupture is equally likely to occur anywhere along the fault, but not extending beyond its ends. (b) Suppose bridge D is known to have failed due to the earthquake. What is the probability that bridge C has survived? (c) If transportation between cities A and B is known to be possible after the earthquake, what is the probability that both bridges survived? The highway system for transportation between cities A and B includes two parallel bridges C and D that cross a fault line. In the event of an earthquake on the fault, each bridge will fail if the fault rupture crosses it. Other parts of the highway system are not vulnerable to earthquakes. (a) Determine the probability of failure of the highway system, i.e., the probability that transportation between cities A and B will be interrupted if an earthquake caused by a 100 km long rupture occurs on the fault. Assume the rupture is equally likely to occur anywhere along the fault, but not extending beyond its ends. (b) Suppose bridge D is known to have failed due to the earthquake. What is the probability that bridge C has survived? (c) If transportation between cities A and B is known to be possible after the earthquake, what is the probability that both bridges survived?
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Answer Given Information Two parallel bridges C and D cross a fault line Earthquake causes a 100 km long rupture on the fault Fault is 100 km long Pro... View the full answer
Related Book For
South-Western Federal Taxation 2018 Comprehensive
ISBN: 9781337386005
41st Edition
Authors: David M. Maloney, William H. Hoffman, Jr., William A. Raabe, James C. Young
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