benchmarks.wiki

benchmarks.wiki / Public workspace

MMLU-Pro / 8965 / 5.4-5. Let Z₁,Z₂,…,Z₇ be a random sample from the standard normal…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

5.4-5. Let Z1,Z2,…,Z7Z_1, Z_2, \ldots, Z_7 be a random sample from the standard normal distribution N(0,1)N(0,1). Let W=Z12+Z22+W=Z_1^2+Z_2^2+ ⋯+Z72\cdots+Z_7^2. Find P(1.69<W<14.07)P(1.69 < W < 14.07)
Plain-text mathematical notation (without MathML)
5.4-5. Let Z₁,Z₂,…,Z₇ be a random sample from the standard normal distribution N(0,1). Let W=Z₁²+Z₂²+ ⋯+Z₇². Find P(1.69<W<14.07)
Original LaTeX notation
5.4-5. Let $Z_1, Z_2, \ldots, Z_7$ be a random sample from the standard normal distribution $N(0,1)$. Let $W=Z_1^2+Z_2^2+$ $\cdots+Z_7^2$. Find $P(1.69 < W < 14.07)$

category

math

options

  1. $0.815$
  2. $0.750$
  3. $0.890$
  4. $0.600$
  5. $0.700$
  6. $0.975$
  7. $0.850$
  8. $0.995$
  9. $0.950$
  10. $0.925$

src

scibench-stat

Discussion

Discussion

No discussion posts on this page yet. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

Source and history

upstream_id / Original problem ID
8965
task_id
808dee37-7c8a-5f1c-90ee-8bdcd3a4220c
task_key
default--test--8965
task_revision_id
1
config / split
default / test

Official source

initial import