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MMLU-Pro / 8110 / A company has 400 employees. Their mean income is …

Problem

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

question

A company has 400 employees. Their mean income is 20,500,andthestandarddeviationoftheirincomesis20,500, and the standard deviation of their incomes is 3,750. The distribution of incomes is normally distributed. How many of the 400 employees do you expect to have an income of between 13,000and13,000 and 28,000?
Plain-text mathematical notation (without MathML)
A company has 400 employees. Their mean income is 20,500,andthestandarddeviationoftheirincomesis3,750. The distribution of incomes is normally distributed. How many of the 400 employees do you expect to have an income of between 13,000and28,000?
Original LaTeX notation
A company has 400 employees. Their mean income is $20,500, and the standard deviation of their incomes is $3,750. The distribution of incomes is normally distributed. How many of the 400 employees do you expect to have an income of between $13,000 and $28,000?

category

math

options

  1. 100
  2. 200
  3. 390
  4. 300
  5. 400
  6. 385
  7. 375
  8. 395
  9. 350
  10. 50

src

ori_mmlu-high_school_statistics

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Source and history

upstream_id / Original problem ID
8110
task_id
defec7da-5def-55e9-a02e-6adf7f0d40eb
task_key
default--test--8110
task_revision_id
1
config / split
default / test

Official source

initial import