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MMLU-Pro / 318 / Ms. Fogg is planning an around-the-world trip on which she plans to spend…

Problem

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

question

Ms. Fogg is planning an around-the-world trip on which she plans to spend 10,000.Theutilityfromthetripisafunctionofhowmuchsheactuallyspendsonit(Y),givenbyU(Y)=lnY.Ifthereisa25percentprobabilitythatMs.Foggwilllose10,000. The utility from the trip is a function of how much she actually spends on it (Y), given by U(Y) = ln Y. If there is a 25 percent probability that Ms. Fogg will lose 1,000 of her cash on the trip, what is the trip’s expected utility?
Plain-text mathematical notation (without MathML)
Ms. Fogg is planning an around-the-world trip on which she plans to spend 10,000.Theutilityfromthetripisafunctionofhowmuchsheactuallyspendsonit(Y),givenbyU(Y)=lnY.Ifthereisa25percentprobabilitythatMs.Foggwilllose1,000 of her cash on the trip, what is the trip’s expected utility?
Original LaTeX notation
Ms. Fogg is planning an around-the-world trip on which she plans to spend $10,000. The utility from the trip is a function of how much she actually spends on it (Y), given by U(Y) = ln Y. If there is a 25 percent probability that Ms. Fogg will lose $1,000 of her cash on the trip, what is the trip’s expected utility?

category

business

options

  1. 8.895
  2. 9.350
  3. 9.210
  4. 9.000
  5. 8.500
  6. 10.000
  7. 9.184
  8. 8.987
  9. 8.750

src

theoremQA-Finance

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Source and history

upstream_id / Original problem ID
318
task_id
024b97f1-d9dc-555b-8e28-30e75fcd9422
task_key
default--test--318
task_revision_id
1
config / split
default / test

Official source

initial import