Question: Suppose we observe i.i.d. samples { X i } i = 1 n from the normal distribution N ( , 1 ) with unknown R,

Suppose we observe i.i.d. samples {Xi}i=1n from the normal distribution N(,1) with unknown R, and our prior distribution of has probability density function p()=21e,R . If i=1nXi = 0.437, compute the maximum a posteriori estimate of .

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