Suppose your prior on theta isuniform on 0 1 and that she, Ask an Expert

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Let the unknown probability that abasketball player makes a shot successfully be θ. Suppose your prior on θ isuniform on [0, 1] and that she then makes two shots in a row. Assume that the outcomes of thetwo shots are independent.

a. What is the posterior density of θ?
b. What would you estimate the probability that she makes a third shot tobe?

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