How to identify which pumps are more reliable, Engineering Mathematics

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How to identify which pumps are more reliable

Solve the following problem:

One reason for collecting the pump failure data is to identify which pumps are more reliable.

a. Run the Gibbs sampler for the pump failure data and get 95% posterior credible intervals for the parameters λi.

b. Based on the analysis, can you identify any pumps that are more or less reliable than the others?

c. How does your answer in b. change as the hyperparameter values are varied?

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