You are given a dataset of 3 numbers, -1, 0, 20. You wish to model this dataset with a normal
with unknown mean μ and standard deviation 1. You will make an MAP estimate of μ. The prior on μ is normal,
with mean 0 and standard deviation 10.
A) What is the MAP estimate of μ ?
B) A new datapoint, with value 1, arrives. What is the new MAP estimate of μ ?
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