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MMLU-Pro / 8101 / 5.8-1. If X is a random variable with mean 33 and variance 16, use Chebyshev's…

Problem

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

question

5.8-1. If XX is a random variable with mean 33 and variance 16, use Chebyshev's inequality to find (b) An upper bound for P(|X−33|≥14)P(|X-33| \geq 14).
Plain-text mathematical notation (without MathML)
5.8-1. If X is a random variable with mean 33 and variance 16, use Chebyshev's inequality to find
(b) An upper bound for P(|X−33|≥14).
Original LaTeX notation
5.8-1. If $X$ is a random variable with mean 33 and variance 16, use Chebyshev's inequality to find
(b) An upper bound for $P(|X-33| \geq 14)$.

category

math

options

  1. $0.082$
  2. 0.056
  3. 0.138
  4. 0.045
  5. 0.102
  6. 0.200
  7. 0.160
  8. 0.025
  9. 0.115
  10. 0.075

src

scibench-stat

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Source and history

upstream_id / Original problem ID
8101
task_id
6f053cc7-03d1-5c32-9599-b352736a2836
task_key
default--test--8101
task_revision_id
1
config / split
default / test

Official source

initial import