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MMLU-Pro / 7994 / 5.5-1. Let X₁,X₂,…,X₁₆ be a random sample from a normal…

Problem

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

question

5.5-1. Let X1,X2,…,X16X_1, X_2, \ldots, X_{16} be a random sample from a normal distribution N(77,25)N(77,25). Compute (a) P(77<X¯<79.5)P(77<\bar{X}<79.5).
Plain-text mathematical notation (without MathML)
5.5-1. Let X₁,X₂,…,X₁₆ be a random sample from a normal distribution N(77,25). Compute
(a) P(77<(X)¯<79.5).
Original LaTeX notation
5.5-1. Let $X_1, X_2, \ldots, X_{16}$ be a random sample from a normal distribution $N(77,25)$. Compute
(a) $P(77<\bar{X}<79.5)$.

category

math

options

  1. $0.3524$
  2. $0.2123$
  3. $0.5948$
  4. $0.3187$
  5. $0.4298$
  6. $0.7599$
  7. $0.6882$
  8. $0.5012$
  9. $0.4772$
  10. $0.2634$

src

scibench-stat

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Source and history

upstream_id / Original problem ID
7994
task_id
c42bb82f-cab2-50d8-8c6a-c1dd613af3c2
task_key
default--test--7994
task_revision_id
1
config / split
default / test

Official source

initial import