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ml-recall

#posterior-predictive

1 question from Statistics & Estimation

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Question 1: Short answer

easyAI-checkedStatistics & Estimation

A Bernoulli model p(x∣θ)=θx(1−θ)1−xp(x \mid \theta) = \theta^x (1 - \theta)^{1 - x} has the prior θ∼Beta(2,2)\theta \sim \mathrm{Beta}(2, 2). You observe 10 iid outcomes with 7 ones. What is the posterior predictive probability p(xnew=1∣data)p(x_{\text{new}} = 1 \mid \text{data})?

a probability, 3 decimals (a fraction like 2/3 also works)