Question: 6. For a parallel structure of identical components, the system can succeed if at least one of the components succeeds. Assume that components fail independently

6. 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. Complete parts (a) through (c) below. (3) Would it be unusual to observe one component fail? Two components? It would not be unusual to observe one component fail, sinCe the probability that one component fails, .15 , is greater than 0.05. it would be unusual to observe two components fail, since the probability that two components fail, .0225 . is less than 0.05. (Type integers or decimals. Do not round.) (b) What is the probability that a parallel structure with 2 identical components will succeed? 0.9775 {Round to four decimal places as needed.) (c) How many components would be needed in the structure so that the probability the system will Succeed is greater than 0.9998? 5 (Type a whole number.)

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