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[ar] cs-229-probability #182
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Thank you for your hard work @mhmoodlan! Now, let's start the review process. |
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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
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**5. Axioms of probability For each event E, we denote P(E) as the probability of event E occuring.** | ||
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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).
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**6. Axiom 1 ― Every probability is between 0 and 1 included, i.e:** | ||
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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.
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**7. Axiom 2 ― The probability that at least one of the elementary events in the entire sample space will occur is 1, i.e:** | ||
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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:
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**8. Axiom 3 ― For any sequence of mutually exclusive events E1,...,En, we have:** | ||
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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:
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**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:** | ||
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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:
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**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:** | ||
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مبرهنة النهاية المركزية ― ليكن لدينا عينة عشوائية X1,...,Xn والتي تتبع لتوزع معطى له متوسط μ وتباين σ2، فيكون: |
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لتوزيع
ar/cs-229-probability.md
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**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:** | ||
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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
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**58. Chi-Squared relation with sample variance ― Let s2 be the sample variance of a random sample. We have:** | ||
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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
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**62. [Probability distributions, Chebyshev's inequality, Main distributions]** | ||
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[التوزعات الاحتمالية، متراجحة تشيبشيف، توزعات رئيسية] |
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[التوزيعات الاحتمالية، متراجحة تشيبشيف، توزيعات رئيسية]
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**63. [Jointly distributed random variables, Density, Covariance, Correlation]** | ||
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[المتحولات العشوائية الموزعة بشكل مشترك، الكثافة، التغاير، الارتباط] |
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[المتحولات العشوائية الموزعة اشتراكياً، الكثافة، التغاير، الارتباط]
Thank you @qunaieer, the review was helpful. |
Great job @qunaieer and @mhmoodlan! Thank you both for your work. |
as possible compliance with the agreed-on Arabic terminologies from: https://www.nmthgiat.com/terminology/