At DataTech Solutions, the reliability of their server systems is a critical factor in maintaining smooth operations. The company knows that the probability of a server experiencing no downtime due to technical issues is 0.95. When a server is functioning smoothly, there is a 0.9 probability that the network performance is also optimal. However, if a server encounters technical problems, the probability of having optimal network performance drops to 0.3. A server is chosen at random for assessment, and its network performance is found to be optimal. What is the updated probability that the server is running without any technical issues?
At DataTech Solutions, the reliability of their server systems is a critical factor in maintaining smooth operations. The company knows that the probability of a server experiencing no downtime due to technical issues is 0.95. When a server is functioning smoothly, there is a 0.9 probability that the network performance is also optimal. However, if a server encounters technical problems, the probability of having optimal network performance drops to 0.3. A server is chosen at random for assessment, and its network performance is found to be optimal. What is the updated probability that the server is running without any technical issues?
Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment
Section: Chapter Questions
Problem 1CE
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At DataTech Solutions, the reliability of their server systems is a critical factor in maintaining smooth operations. The company knows that the probability of a server experiencing no downtime due to technical issues is 0.95. When a server is functioning smoothly, there is a 0.9 probability that the network performance is also optimal. However, if a server encounters technical problems, the probability of having optimal network performance drops to 0.3. A server is chosen at random for assessment, and its network performance is found to be optimal. What is the updated probability that the server is running without any technical issues?
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