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You are given a coin but are not told what its bias (probability of heads) is. You are told Binom(10, P). instead that the

 

You are given a coin but are not told what its bias (probability of heads) is. You are told Binom(10, P). instead that the bias is the outcome of a random variable P~U[0, 1]. To get more infromation about the coin bias, you flip it independently 10 times. Let X be the number of heads you get. Thus X Assuming that X = 9, find and sketch the a posteriori probability of P, i.e., fp|x (p|9).

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