Conjugate Prior Posterior Mean

Problem

Compute the conjugate normal posterior mean directly from precisions: (tau0 * mu0 + tau_data * xbar) / (tau0 + tau_data).

Return 0.0 when the total precision is zero.

Hint

The posterior mean is a precision-weighted average of prior mean and data mean.

case 1

in: [0,1,2,1]

expected: 1

case 2

in: [10,4,12,2]

expected: 10.666666666666666

case 3

in: [5,0,100,1]

expected: 100

case 4

in: [0,0,0,0]

expected: 0

Starter codePython

def conjugate_posterior_mean(mu0, tau0, xbar, tau_data):
    # Your code here
    pass

4 test cases · run your code against them in the editor