File:prob-04-joint-distributions-conditional-slice.png

Figure file · Joint distributions

Draw X uniformly on [0,1], then Y uniformly on [0,X]. The pair lies in the triangle below the diagonal. The conditional distribution of Y given X=x lives on the vertical slice at x, here x=0.72, and is uniform along it.

Draw X uniformly on [0,1], then Y uniformly on [0,X]. The pair lies in the triangle below the diagonal. The conditional distribution of Y given X=x lives on the vertical slice at x, here x=0.72, and is uniform along it.

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Summary

Description. Draw X uniformly on [0,1], then Y uniformly on [0,X]. The pair lies in the triangle below the diagonal. The conditional distribution of Y given X=x lives on the vertical slice at x, here x=0.72, and is uniform along it.

Appears in. Joint distributions

Made by. Drawn in TikZ. The source is a standalone LaTeX file.

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