A product has four components A, B, C, and D. The finished product must have a reliability of at least .95. The first three components come from a supplier, and they have reliabilities of .99, .98, and .995, respectively

The fourth component is being designed now. What must the reliability of component D be in order to meet the product reliability condition?


System reliability must be at least .99 × .98 × .995 × D = .95. Component D's reliability must be at least 0.95 / [(0.99)(0.98)(0.995 )] = 0.98411. (The last decimal was rounded up to ensure at least .95 for the system.)

Business

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