Solve plz....

Info for questions 5, 6, ?, and 8 Please consider a posteriordistribution that has, for a subset of parameter values, the following values proportional to the posterior probability density: 8 unstandardized posterior (i.e., numerator from Bayes' Rule} 2 0 4 3 6 9 8 12 10 6 1 point A9 Suppose you are running the Metropolis algorithm and the current value of 9 is 4, while the proposed value is 9* = 8. What is the probability ofjumping? Please give your answer to 3 decimal places. ' Type your answer... 1 point A9 Suppose you are running the Metropolis algorithm and the current value of 9 is 8, while the proposed value is 9* = 1|]. What is the probability ofjumping? Please give your answer to 3 decimal places. ' Type your answer... 1 point A9 Suppose you are running the Metropolis algorithm and the current value of 9 is 6, while the proposed value is 9* = 2. What is the probability ofjumping? Please give your answer to 3 decimal places. ' Type your answer... 3 1 point A9 In the long run, the Metropolis algorithm will sample 9 = 8 about how many times more often than 3 = 4? 1/2 1 (Le, the same number of times]I 2 000000 3 4 8