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Problem 2 [5 marks] Suppose for a binary sampling problem we plan on using a uniform, or Beta(1,1) prior for the population proportion 6. Perhaps our reasoning is that this represents \"no prior information about 6\". However, some people like to look at proportions on the log-odds scale, that is, they are interested in 7 = log (2&9) . Via Monte-Carlo sampling or otherwise nd the prior distribution for 7 that is induced by the uniform prior for 6. Is this prior informative about 7