ml-recall

#serial-connection

1 question from Probabilistic & Graphical Models

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Question 1: Short answer

mediumAI-checkedProbabilistic & Graphical Models

A serial connection $x \to z \to y$ is generated by $x \sim \mathcal{N}(0, 1)$ , $z = x + n_z$ and $y = z + n_y$ , where $n_z, n_y \sim \mathcal{N}(0, 1)$ are independent of each other and of $x$ . What is the correlation coefficient between $x$ and $y$ when $z$ is not observed?

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