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MMLU-Pro / 10644 / Let X₀,X₁,X₂,… be drawn i.i.d. from p(x), and…

Problem

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question

Let X0,X1,X2,…X_0, X_1, X_2, \ldots be drawn i.i.d. from p(x)p(x), and x∈{1,2,3,…,100}.Letx\in\{1,2,3,\ldots,100\}. Let Nbethewaitingtimetothenextoccurrenceof be the waiting time to the next occurrence of X_0.Compute. Compute E(N)$.
Plain-text mathematical notation (without MathML)
Let X₀,X₁,X₂,… be drawn i.i.d. from p(x), and x∈{1,2,3,…,100}.LetNbethewaitingtimetothenextoccurrenceofX_0.ComputeE(N)$.
Original LaTeX notation
Let $X_0, X_1, X_2, \ldots$ be drawn i.i.d. from $p(x)$, and $x\in\{1,2,3,\ldots,100\}. Let $N$ be the waiting time to the next occurrence of $X_0$. Compute $E(N)$.

category

computer science

options

  1. 99.0
  2. 101.0
  3. 125.0
  4. 150.0
  5. 50.0
  6. 25.0
  7. 175.0
  8. 100.0
  9. 200.0
  10. 75.0

src

theoremQA-EECS

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Source and history

upstream_id / Original problem ID
10644
task_id
e504c8ea-15a0-5be9-ad2f-9592f6a616ec
task_key
default--test--10644
task_revision_id
1
config / split
default / test

Official source

initial import