Suppose we combine all the \(n=15\) trials all together and think of them as a single experiment where we observed a total of 9 successes. Start with the initial equally weighted prior from Exercise 6.4 and nd the posterior after the single combined experiment. What do the results of Exercises \(6.4 \quad 6.6\) show?

Data From Exercise 6.4

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prior likelihood prior likelihood posterior marginal P(Y = 9)