Leaks in a 2-mile gas delivery pipeline occur randomly. In the past 36 mo there
ID: 3381125 • Letter: L
Question
Leaks in a 2-mile gas delivery pipeline occur randomly. In the past 36 mo there were five leaks reported along the pipeline. What type of distribution model is suitable to represent the number of leaks at any time period along the pipeline? Compute the probability that in the next 6 mo there will be no leaks occurring along the pipeline. If a leak occurs, there is a 0.15 probability that the gas delivery will be disrupted so that a repair can be done. What is the probability that there will be no disruption in gas delivery due to probable leaks in the next 6 mo?Explanation / Answer
Poisson is suitable distribution with average = 5
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b) For 6 mo average is 5/6
P(X+0 when average is 5/6) = 0.4346
c) Required prob = 0.4346(0.15)
= 0.06519
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