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For a parallel structure of identical components, the system can succeed if at least one of the components succeeds. Assume that components fail independently of

For a parallel structure of identical components, the system can succeed if at least one of the components succeeds. Assume that components fail independently of each other and that each component has a 0.15 probability of failure.

a. Would it be unusual to observe one component fail? Two components?

b. What is the probability that a parallel structure with 2 identical components will succeed?

c. How many components would be needed in the structure so that the probability the system will succeed is greater than 0.9999?

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