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[ar] cs-229-probability #182

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merged 5 commits into from
Nov 5, 2019
Merged

[ar] cs-229-probability #182

merged 5 commits into from
Nov 5, 2019

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mhmoodlan
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as possible compliance with the agreed-on Arabic terminologies from: https://www.nmthgiat.com/terminology/

@shervinea
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Thank you for your hard work @mhmoodlan! Now, let's start the review process.

@shervinea shervinea added the reviewer wanted Looking for a reviewer label Oct 16, 2019
@shervinea shervinea changed the title Create initial cs-229-probability.md [ar] Probabilities and Statistics Oct 16, 2019
@shervinea shervinea mentioned this pull request Oct 16, 2019
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Hello @mhmoodlan
I have done reviewing this translation, and added all my comments. Thank you for you great work.
Notes about the changes:
-some changes are minimal (e.g, adding some letters or words or minor corrections).
-some of them are major that alter the meaning (correct it), but they are very few.

For some of the comments I have copied your translations, do my review, and pasted back as a comment, and for the others I have just added my comments.

I hope you find the review helpful.

Best regards,
Fares


**5. Axioms of probability For each event E, we denote P(E) as the probability of event E occuring.**
<div dir="rtl">
مسلَّمات الاحتمالات. من أجل كل حدث E، نرمز لإحتمال وقوعه بـ P(E).
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لكل حدث E، نرمز لإحتمال وقوعه بـ P(E).


**6. Axiom 1 ― Every probability is between 0 and 1 included, i.e:**
<div dir="rtl">
المسلَّمة 1 ― كل احتمال يأخد قيماً بين الـ 0 والـ 1 مضمَّنة، على سبيل المثال:
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المسلَّمة 1 ― كل احتمال يأخد قيماً بين الـ 0 والـ 1 مضمَّنة:

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لا نحتاج "على سبيل المثال" لأن المعادلة ليست للتمثيل.


**7. Axiom 2 ― The probability that at least one of the elementary events in the entire sample space will occur is 1, i.e:**
<div dir="rtl">
المسلَّمة 2 ― احتمال وقوع حدث ابتدائي واحد على الأقل من الأحداث الابتدائية في فضاء العينة يساوي الـ 1، على سبيل المثال:
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المسلَّمة 2 ― احتمال وقوع حدث ابتدائي واحد على الأقل من الأحداث الابتدائية في فضاء العينة يساوي الـ 1:


**8. Axiom 3 ― For any sequence of mutually exclusive events E1,...,En, we have:**
<div dir="rtl">
المسلَّمة 3 ― من أجل أي سلسلة من الأحداث الغير متداخلة E1,...,En، لدينا:
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المسلَّمة 3 ― لأي سلسلة من الأحداث الغير متداخلة E1,...,En، لدينا:


**10. Combination ― A combination is an arrangement of r objects from a pool of n objects, where the order does not matter. The number of such arrangements is given by C(n,r), defined as:**
<div dir="rtl">
التوافيق ― التوفيق هو اختيار لـ r غرض من مجموعة مكونة من n غرض بدون إعطاء الترتيب أية أهمية. عدد هكذا توافيق يرمز له بـ C(n, r)، المعرف كالتالي:
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التوافيق ― التوفيق هو عدد الاختيارات لـ r غرض من مجموعة مكونة من n غرض بدون إعطاء الترتيب أية أهمية. عدد هكذا توافيق يرمز له بـ C(n, r)، المعرف كالتالي:


**54. Central Limit Theorem ― Let us have a random sample X1,...,Xn following a given distribution with mean μ and variance σ2, then we have:**
<div dir="rtl">
مبرهنة النهاية المركزية ― ليكن لدينا عينة عشوائية X1,...,Xn والتي تتبع لتوزع معطى له متوسط μ وتباين σ2، فيكون:
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لتوزيع


**56. Sample variance ― The sample variance of a random sample is used to estimate the true variance σ2 of a distribution, is often noted s2 or ^σ2 and is defined as follows:**
<div dir="rtl">
تباين العينة ― يستخدم تباين عينة عشوائية لتقدير التباين الحقيقي σ2 لتوزع ما، والذي يرمز له عادةً بـ s2 أو ^σ2 ويعرّف بالشكل التالي:
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لتوزيع ما


**58. Chi-Squared relation with sample variance ― Let s2 be the sample variance of a random sample. We have:**
<div dir="rtl">
علاقة مربع كاي مع تباين العينة ― ليكن s2 تباين العينة لعينة عشوائية. لدينا:
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علاقة مربع كاي (Chi-Squared) مع تباين العينة


**62. [Probability distributions, Chebyshev's inequality, Main distributions]**
<div dir="rtl">
[التوزعات الاحتمالية، متراجحة تشيبشيف، توزعات رئيسية]
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[التوزيعات الاحتمالية، متراجحة تشيبشيف، توزيعات رئيسية]


**63. [Jointly distributed random variables, Density, Covariance, Correlation]**
<div dir="rtl">
[المتحولات العشوائية الموزعة بشكل مشترك، الكثافة، التغاير، الارتباط]
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[المتحولات العشوائية الموزعة اشتراكياً، الكثافة، التغاير، الارتباط]

@mhmoodlan
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Thank you @qunaieer, the review was helpful.
I have applied the proposed changes.

@shervinea
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Great job @qunaieer and @mhmoodlan! Thank you both for your work.

@shervinea shervinea merged commit 5a07a9e into shervinea:master Nov 5, 2019
@shervinea shervinea changed the title [ar] Probabilities and Statistics [ar] cs-229-probability Oct 6, 2020
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