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A what is the availability of the cluster if planned

Problem: This problem refers to the redundancy technique. Assume that when a node fails, it takes 10 seconds to diagnose that fault and another 30 seconds for the workload to be switched over.

a. What is the availability of the cluster if planned downtime is ignored?

b. What is the availability of the cluster if the cluster is taken down one hour per week for maintenance, but one node at a time?

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