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MMLU-Pro / 8884 / Which of the following is NOT true of the χ2 probability distribution function?

Problem

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question

Which of the following is NOT true of the χ2 probability distribution function?

category

math

options

  1. For small degrees of freedom, the curve displays strong right-skewness.
  2. The area under the χ2 curve is 1.
  3. χ2 is defined only for nonnegative values of the variable.
  4. For the same α, as the number of degrees of freedom decreases, the critical value for the rejection region increases.
  5. For the same α, as the number of degrees of freedom increases, the critical value for the rejection region decreases.

src

ori_mmlu-high_school_statistics

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