Question

# You are given a dataset of 3 numbers, -1, 0, 20. You wish to model this dataset with a normal

distribution

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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