This problem continues Example E of Section 3.5.2. In that

Chapter , Problem 34

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This problem continues Example E of Section 3.5.2. In that example, the prior opinion for the value of \(\Theta\) was represented by the uniform density. Suppose that the prior density had been a beta density with parameters a = b = 3, reflecting a stronger prior belief that the chance of a 1 was near \(\frac{1}{2}\). Graph this prior density.Following the reasoning of the example, find the posterior density, plot it, and compare it to the posterior density shown in the example.