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MMLU-Pro / 7783 / 5.4-21. Let X and Y be independent with distributions N(5,16) and…

Problem

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

question

5.4-21. Let XX and YY be independent with distributions N(5,16)N(5,16) and N(6,9)N(6,9), respectively. Evaluate P(X>Y)=P(X>Y)= P(X−Y>0)P(X-Y>0).
Plain-text mathematical notation (without MathML)
5.4-21. Let X and Y be independent with distributions N(5,16) and N(6,9), respectively. Evaluate P(X>Y)= P(X−Y>0).
Original LaTeX notation
5.4-21. Let $X$ and $Y$ be independent with distributions $N(5,16)$ and $N(6,9)$, respectively. Evaluate $P(X>Y)=$ $P(X-Y>0)$.

category

math

options

  1. $0.5873$
  2. $0.5124$
  3. $0.6915$
  4. $0.4758$
  5. $0.2431$
  6. $0.4207$
  7. $0.3256$
  8. $0.3591$
  9. $0.5389$
  10. $0.2769$

src

scibench-stat

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Source and history

upstream_id / Original problem ID
7783
task_id
8a6dea8e-591a-5ba2-8c81-4b691c3d6ebe
task_key
default--test--7783
task_revision_id
1
config / split
default / test

Official source

initial import