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Omni-MATH / For each integer x with 1≤x≤10, a point is randomly placed at either (x,1) or (x,−1) with equal probability. What is the expected area of the convex hull of these points? Note: the…

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problem

For each integer xx with 1≤x≤101 \leq x \leq 10, a point is randomly placed at either (x,1)(x, 1) or (x,−1)(x,-1) with equal probability. What is the expected area of the convex hull of these points? Note: the convex hull of a finite set is the smallest convex polygon containing it.
Plain-text mathematical notation (without MathML)
For each integer x with 1≤x≤10, a point is randomly placed at either (x,1) or (x,−1) with equal probability. What is the expected area of the convex hull of these points? Note: the convex hull of a finite set is the smallest convex polygon containing it.
Original LaTeX notation
For each integer $x$ with $1 \leq x \leq 10$, a point is randomly placed at either $(x, 1)$ or $(x,-1)$ with equal probability. What is the expected area of the convex hull of these points? Note: the convex hull of a finite set is the smallest convex polygon containing it.

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Source and history

task_id
5394468c-f969-5c5e-a388-27d9195e853c
task_key
test--5394468c-f969-5c5e-a388-27d9195e853c
task_revision_id
1
config / split
/ test

Official source

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