diff --git a/content/public/unsorted/q0405/q0405.md b/content/public/unsorted/q0405/q0405.md new file mode 100644 index 00000000..1ee1f12d --- /dev/null +++ b/content/public/unsorted/q0405/q0405.md @@ -0,0 +1,54 @@ +--- +title: GRE Scores, Part II +topic: Distributions of random variables +author: Larry Gu +source: original +template_version: 1.4 +attribution: standard +partialCredit: true +singleVariant: false +showCorrectAnswer: false +outcomes: +- 4.1.1.0 +- 4.1.1.1 +difficulty: +- undefined +randomization: +- undefined +taxonomy: +- undefined +span: +- undefined +length: +- undefined +tags: +- LG +assets: null +part1: + type: number-input + pl-customizations: + comparison: decdig + digits: 0 + weight: 1 + allow-blank: true + label: Score = +myst: + substitutions: + params_vars_title: GRE Scores, Part II + params_sigma: 7.63 + params_mu: 151 + params_section: quantitative + params_percentile: 45 + params_dis: 150.04120392349577 + params_z_score: -0.12566134685507402 +--- +# {{ params_vars_title }} +The distribution of the {{params_section}} part of the GRE exam is $$N(\mu={{params_mu}},\sigma={{params_sigma}})$$. + +## Part 1 + +Compute the score of a student who scored in the $${{params_percentile}} ^{th}$$ percentile on the {{params_section}} section. + +## Attribution + +Problem is licensed under the [CC-BY-NC-SA 4.0 license](https://creativecommons.org/licenses/by-nc-sa/4.0/).
![The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.](https://raw.githubusercontent.com/firasm/bits/master/by-nc-sa.png) \ No newline at end of file diff --git a/content/public/unsorted/q0415/q0415.md b/content/public/unsorted/q0415/q0415.md deleted file mode 100644 index 559b287e..00000000 --- a/content/public/unsorted/q0415/q0415.md +++ /dev/null @@ -1,52 +0,0 @@ ---- -title: Bernoulli, the mean -topic: Template -author: Larry Gu -source: original -template_version: 1.4 -attribution: openintro-stats -partialCredit: true -singleVariant: false -showCorrectAnswer: false -outcomes: -- 6.1.1.0 -- 6.1.1.1 -difficulty: -- undefined -randomization: -- undefined -taxonomy: -- undefined -span: -- undefined -length: -- undefined -tags: -- L. G. -assets: null -part1: - type: symbolic-input - pl-customizations: - label: $E(X) = $ - variables: E, p, X - weight: 1 - allow-blank: false -myst: - substitutions: - params_vars_title: Bernoulli, the mean ---- -# {{ params_vars_title }} - -## Question Text - -Recall from Section 3.4, we calculate the expected value of a discrete random variable with the following formula: - -$$ E(X) = \sum\_{i=1}^k x_i P(X=x_i)$$ - -Use this probability rule to derive the mean of a Bernoulli random variable, i.e. a random variable $$X$$ that takes value $$1$$ with probability $$p$$ and value $$0$$ with probability $$1 - p$$. That is, compute the expected value of a generic Bernoulli random variable. - -### Answer Section - -## Attribution - -Problem is from the [OpenIntro Statistics](https://openintro.org/book/os/) textbook, licensed under the [CC-BY 4.0 license](https://creativecommons.org/licenses/by/4.0/).
![Image representing the Creative Commons 4.0 BY license.](https://raw.githubusercontent.com/firasm/bits/master/by.png) \ No newline at end of file