Problem 16: Let X and Y be jointly normal, with X ~ N(2,1), Y ~ N(1,5), and p(X,Y) = %. Find the 90% credible interval for X, given Y = 1 is observed.
Added by Emilia L.
Step 1
Since X and Y are jointly normal, the conditional distribution of X given Y = 1 is also normal. The mean and variance of this distribution can be found using the formulas for the conditional mean and variance of a jointly normal distribution: E(X|Y=1) = μX + Show moreā¦
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