Question

2. A device consists of two redundant subunits; only one needs to be working for the device to function. The first subunit has two parts Wi and W2, and the second has two parts Ws and W4. In each subunit, both parts must function for the subunit to work. The four parts are independent, identical and equally reliable, with probability p 0.9 of functioning. (a) What is the overall probability the device functions correctly? (b) Suppose you have available two ultra-reliable parts, each with p-0.99 of working. Which two parts in the device should you replace with these in order to maximize device reliability? Justify your answer by calculating the resulting reliability and explain your choice

Answer 1

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