Let the unknown probability that a basketball player makes
Chapter , Problem 66(choose chapter or problem)
Let the unknown probability that a basketball player makes a shot successfully be \(\theta\). Suppose your prior on \(\theta\) is uniform on [0, 1] and that she then makes two shots in a row. Assume that the outcomes of the two shots are independent.
a. What is the posterior density of \(\theta\)?
b. What would you estimate the probability that she makes a third shot to be?
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