You are designing a new water line to cross beneath the Elizabeth River. Because

Question

You are designing a new water line to cross beneath the Elizabeth River. Because of the brackish water exposure, corrosion is a major concern. You are investigating two options to protect the pipe. The options include specialty pipe sleeves and a new bolt and gasket pattern. None of this matters for the analysis. It is only necessary that one of the two options function for the pipe to be protected. (i.e. the protective systems operate in parallel). Option (A) has a 0.82 probability of functioning for 12 years without repairs. Option (B) has a 0.73 probability of functioning for the same time period. Find the overall probability that the pipe is protected for the 12 year period. (10 points) 4.

Explanation / Answer

Overall Probability that the pipe is protected for the 12 year period is computed as:

= 1 - Probability that the pipe is not protected for the 12 year period

= 1 - Probability that option (A) does not function for 12 years without repairs * Probability that option (B) does not function for 12 years without repairs

= 1 - (1 - 0.82)*(1-0.73)

= 0.9514

Therefore 0.9514 is the required probability here.

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