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MMLU-Pro / 10486 / Statement 1| For a continuous random variable x and its probability distribution…

Problem

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

question

Statement 1| For a continuous random variable x and its probability distribution function p(x), it holds that 0 ≤ p(x) ≤ 1 for all x. Statement 2| Decision tree is learned by minimizing information gain.

category

computer science

options

  1. Statement 1 is a well-known inequality in calculus, Statement 2 is a common method in data mining
  2. Statement 1 is a theorem in real analysis, Statement 2 is a principle in information theory
  3. Statement 1 is a fundamental principle of statistics, Statement 2 is a rule of thumb in decision analysis
  4. False, True
  5. False, False
  6. True, True
  7. Statement 1 is a fundamental principle of probability, Statement 2 is a common algorithm for machine learning
  8. Statement 1 is a key concept in measure theory, Statement 2 is a method used in decision theory
  9. Statement 1 is a property of all random variables, Statement 2 is a heuristic used in artificial intelligence
  10. True, False

src

ori_mmlu-machine_learning

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Source and history

upstream_id / Original problem ID
10486
task_id
a28e6873-0fb6-5bc9-853d-06d78b7746ba
task_key
default--test--10486
task_revision_id
1
config / split
default / test

Official source

initial import