benchmarks.wiki

benchmarks.wiki / Public workspace

MMLU-Pro / 10608 / Suppose the codeword that we use to describe a random variable X always starts…

Problem

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

question

Suppose the codeword that we use to describe a random variable X always starts with a symbol chosen from the set {7, 8, 9} , followed by binary digits {0, 1}. Thus we have a ternary code for the first symbol and binary thereafter. Give the optimal uniquely decodeable code (minimum expected number of symbols) for the probability distribution p=(16/69,15/69,12/69,10/69,8/69,8/69)p = (16/69, 15/69, 12/69, 10/69, 8/69, 8/69).
Plain-text mathematical notation (without MathML)
Suppose the codeword that we use to describe a random variable X always starts with a symbol chosen from the set {7, 8, 9} , followed by binary digits {0, 1}. Thus we have a ternary code for the first symbol and binary thereafter. Give the optimal uniquely decodeable code (minimum expected number of symbols) for the probability distribution p=(16/69,15/69,12/69,10/69,8/69,8/69).
Original LaTeX notation
Suppose the codeword that we use to describe a random variable X always starts with a symbol chosen from the set {7, 8, 9} , followed by binary digits {0, 1}. Thus we have a ternary code for the first symbol and binary thereafter. Give the optimal uniquely decodeable code (minimum expected number of symbols) for the probability distribution $p = (16/69, 15/69, 12/69, 10/69, 8/69, 8/69)$.

category

computer science

options

  1. [7, 8, 9, 73, 83, 93]
  2. [7, 8, 9, 71, 81, 91]
  3. [7, 8, 9, 710, 810, 910]
  4. [7, 8, 9, 70, 80, 90]
  5. [7, 8, 9, 700, 800, 900]
  6. [7, 8, 9, 74, 84, 94]
  7. [7, 8, 9, 77, 87, 97]
  8. [7, 8, 9, 75, 85, 95]
  9. [7, 8, 9, 72, 82, 92]
  10. [7, 8, 9, 76, 86, 96]

src

theoremQA-EECS

Discussion

Discussion

No discussion posts on this page yet. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

Source and history

upstream_id / Original problem ID
10608
task_id
456f2cbe-3acc-502e-91e4-c9ab7ba98771
task_key
default--test--10608
task_revision_id
1
config / split
default / test

Official source

initial import