Question: 1. Consider the random variable Y following the normal distribution with mean 0 and variance , where is a known constant. That is, 1

1. Consider the random variable Y following the normal distribution with mean 0 and variance , where is a known constant. That is, 1 f(y|0) = (y - 0) 2 = -exp(- 2 202 -). Now assume has a normal prior distribution with mean and variance 7 where 7 is a known constant. Derive the posterior distribution of 0.

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