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(b) Assume a turtle walking on a grid, where each site has 8 different neighbors. By this I mean that from each site, the turtle can go to 8 different sites. The position of the turtle is updated in discrete time. Let the current position of the turtle be site m with associated steady state probability Pm. What is the probability to transition from site m to site n, if the steady state probability to be on site n should be Pn?
[5 marks]