This question is intended to assess your understanding of Markov chain

Monte Carlo $($MCMC$)$ and its application using WinBUGS. You should be

able to answer this question after working through Part IV of Book $4.$

In this question you will be required to supply output from WinBUGS for

part $($d$)$ only. These plots should be included in the body of your work at the

relevant point, and you should include only what is relevant to the question

and your answer.

Monitoring feedwater flow loss is important in the risk assessment of nuclear

plants. Table $1$ gives the number of times that feedwater flow was lost in

each of $10$ nuclear generating systems, and the time that each system was in

operation