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The combined sewer system in city ABC is comprised of two parallel interceptors referred to as North and South lines. The southern line is

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The combined sewer system in city ABC is comprised of two parallel interceptors referred to as "North" and "South" lines. The southern line is connected to a newly built wastewater treatment plant. The northern line is a bypass (emergency) pipeline that releases the sewer directly to a nearby river. The system switched to this emergency system if a storm event continues for at least 4 hours or the level of flow in the southern line reaches to 80%. The likelihood of the above independent cases follows the following exponential distributions: f(r)=2e^(-2r) f(t)=0.5e^(-0.5t) (solve using Acceptance method) If the city considers to invest in updating the south interceptor and to increase its capacity by 20%, how much resiliency improvement can be expected if we keep the same emergency rules for the new pipeline?

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