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MMLU-Pro / 10540 / Let X∼N(0,1) and let the distortion measure be squared error. Here we do…

Problem

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

question

Let X∼N(0,1)X \sim N(0,1) and let the distortion measure be squared error. Here we do not allow block descriptions. Compute the minimum expected distortion for one bit quantization of XX using a squared error distortion measure.
Plain-text mathematical notation (without MathML)
Let X∼N(0,1) and let the distortion measure be squared error. Here we do not allow block descriptions. Compute the minimum expected distortion for one bit quantization of X using a squared error distortion measure.
Original LaTeX notation
Let $X \sim N(0,1)$ and let the distortion measure be squared error. Here we do not allow block descriptions. Compute the minimum expected distortion for one bit quantization of $X$ using a squared error distortion measure.

category

computer science

options

  1. 0.625
  2. 0.212
  3. 0.411
  4. 0.363
  5. 0.1
  6. 0.75
  7. 0.498
  8. 0.333
  9. 0.256
  10. 0.125

src

theoremQA-EECS

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Source and history

upstream_id / Original problem ID
10540
task_id
025b90f5-0a48-5696-a3f6-a869d12e7de9
task_key
default--test--10540
task_revision_id
1
config / split
default / test

Official source

initial import