Suppose that, as in Example E of Section 3.5.2, your prior
Chapter , Problem 33(choose chapter or problem)
Suppose that, as in Example E of Section 3.5.2, your prior opinion that the coin will land with heads up is represented by a uniform density on [0, 1]. You now spin the coin repeatedly and record the number of times, N, until a heads comes up. So if heads comes up on the first spin, N = 1, etc.
a. Find the posterior density of \(\Theta\) given N.
b. Do this with a newly minted penny and graph the posterior density.
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