Question: With a beta(????1, ????2) prior for the binomial parameter ???? and sample proportion y, if n is large relative to ????1 + ????2, show that

With a beta(????1, ????2) prior for the binomial parameter ???? and sample proportion y, if n is large relative to ????1 + ????2, show that the posterior distribution of ????

has approximate mean y and approximate variance y(1 − y)∕n. Interpret.

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