Show that the mean of the posterior distribution of M given in Theorem 10.6 can be written

Question:

Show that the mean of the posterior distribution of M given in Theorem 10.6 can be written as

That is, as a weighted mean of x and µ₀, where

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...