Skip to content
ml-recall

#bayesian-inference

6 questions from Statistics & Estimation, Probabilistic & Graphical Models

Timed test

6 questions · 6 min · score and explanations at the end

Take a test
Q 1 / 6Score 0 / 0

Question 1: Short answer

mediumAI-checkedStatistics & Estimation

Data x1,…,x4x_1, \ldots, x_4 are iid N(μ,σ2)\mathcal{N}(\mu, \sigma^2) with known σ2=4\sigma^2 = 4, and their sample mean is xˉ=2\bar x = 2. The prior on the mean is μ∼N(0,1)\mu \sim \mathcal{N}(0, 1). What is the posterior mean E[μ∣x1:4]\mathbb{E}[\mu \mid x_{1:4}]?

a number, 1 decimal