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MMLU-Pro / 8328 / 6.3-5. Let Y₁<Y₂<⋯<Y₈ be the order statistics of eight…

Problem

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question

6.3-5. Let Y1<Y2<⋯<Y8Y_1 < Y_2 < \cdots < Y_8 be the order statistics of eight independent observations from a continuous-type distribution with 70 th percentile π0.7=27.3\pi_{0.7}=27.3. (a) Determine P(Y7<27.3)P\left(Y_7<27.3\right).
Plain-text mathematical notation (without MathML)
6.3-5. Let Y₁<Y₂<⋯<Y₈ be the order statistics of eight independent observations from a continuous-type distribution with 70 th percentile π_(0.7)=27.3.
(a) Determine P(Y₇<27.3).
Original LaTeX notation
6.3-5. Let $Y_1 < Y_2 < \cdots < Y_8$ be the order statistics of eight independent observations from a continuous-type distribution with 70 th percentile $\pi_{0.7}=27.3$.
(a) Determine $P\left(Y_7<27.3\right)$.

category

math

options

  1. 0.7890
  2. 0.3456
  3. $0.2553$
  4. 0.1975
  5. 0.1234
  6. 0.5678
  7. 0.2929
  8. 0.4334
  9. 0.6543
  10. 0.9012

src

scibench-stat

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Source and history

upstream_id / Original problem ID
8328
task_id
fa7d0dc4-3360-53ae-b80f-2bfbc3849e47
task_key
default--test--8328
task_revision_id
1
config / split
default / test

Official source

initial import