(Solution) - For the second proposed prior distribution displayed in Table 11 2 -(2025 Original AI-Free Solution)

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For the second proposed prior distribution displayed in Table 11.2, find the Bayesian posterior estimate for p ( the mean of the posterior probability distribution) using the M&M's data (x = 23, n = 55). Compare this to our estimate p* = 0.358 using the quantities in Table 11.1. Which estimate is closer to E(?) = 0.33? Does this make sense? Explain.
Table 11.2