# Question

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?

(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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