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MMLU / 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?

choices

  1. 50
  2. 100
  3. 200
  4. 390

subject

high_school_statistics

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Source and history

task_id
888b7fbc-a994-511b-bc25-389d64992a25
task_key
all--test--888b7fbc-a994-511b-bc25-389d64992a25
task_revision_id
1
config / split
all / test

Official source

initial import