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MMLU-Pro / 9037 / 5.2-9. Determine the constant c such that f(x)=cx³(1−x)⁶, 0<x<1 is…

Problem

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

question

5.2-9. Determine the constant cc such that f(x)=cx3(1−x)6f(x)= c x^3(1-x)^6, 0<x<10 < x < 1 is a pdf.
Plain-text mathematical notation (without MathML)
5.2-9. Determine the constant c such that f(x)=cx³(1−x)⁶, 0<x<1 is a pdf.
Original LaTeX notation
5.2-9. Determine the constant $c$ such that $f(x)= c x^3(1-x)^6$, $0 < x < 1$ is a pdf.

category

math

options

  1. 1260
  2. 420
  3. 1050
  4. 720
  5. 540
  6. 2100
  7. 2520
  8. 1680
  9. 630
  10. 840

src

scibench-stat

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Source and history

upstream_id / Original problem ID
9037
task_id
5e6a17b4-b211-5dbd-abca-1ddb0b91e11c
task_key
default--test--9037
task_revision_id
1
config / split
default / test

Official source

initial import