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6017Posterior Distribution After Ten Wins in TwelveA win probability p has the uniform prior Beta (1,1). You then see k=10 wins out of n=12 games. Name the exact posterior distribution of p and give its mode.统计简单数值题未尝试免费6019Blending a Prior View With Four Noisy QuotesA latent fair value \sim N(10,4). You collect n=4 independent quotes with known per-quote variance 2=8 and sample mean x=12. Compute the posterior mean of .统计中等derivation未尝试免费6022MAP Estimate Versus Posterior MeanAfter updating, the posterior for a conversion rate p is Beta (8,4). Report both the MAP (posterior mode) estimate and the posterior mean, and state which is larger.统计中等derivation未尝试免费