This problem refers to Example 2f.
(a) Verify that the proposed value of Пjsatisfies the necessary equations.
(b) For any given molecule, what do you think is the (limiting) probability that it is in urn 1?
(c) Do you think that the events that molecule j, j ≥ 1, is in urn 1 at a very large time would be (in the limit) independent?
(d) Explain why the limiting probabilities are as given.
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