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MMLU-Pro / 8669 / During the years 1886 through 2000 there were an average of 8.7 tropical…

Problem

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

question

During the years 1886 through 2000 there were an average of 8.7 tropical cyclones per year, of which an average of 5.1 became hurricanes. Assuming that the probability of any cyclone becoming a hurricane is independent of what happens to any other cyclone, if there are five cyclones in one year, what is the probability that at least three become hurricanes?

category

math

options

  1. 0.586
  2. 0.345
  3. 0.621
  4. 0.313
  5. 0.528
  6. 0.412
  7. 0.701
  8. 0.274
  9. 0.658
  10. 0.789

src

ori_mmlu-high_school_statistics

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Source and history

upstream_id / Original problem ID
8669
task_id
e4137365-3eab-5a41-931e-cbc4221ad36a
task_key
default--test--8669
task_revision_id
1
config / split
default / test

Official source

initial import