Dist.Theory
نظرية التوزيعات الإحتمالية
Course Code |
Stat 202 |
رقم المقرر ورمزه |
Credit Hours |
3 |
الوحدات الدراسية |
Level |
3rd Level الثالث |
المستوى |
Prerequisite |
Stat 101 + Math 202 |
المتطلب السابق |
وصف محتويات المقرر : : Course Contents
Introduction and overview of Definition of the probability, Definition of the random variable – the probability function of the discrete random variable - the density probability function of the continuous random variable, The Expectation and the variance of the random variable (Discrete and Continuous), Discrete probability Distributions (Bernoulli, Binomial and Poisson), Continuous probability distribution (Normal distribution and its application). - Approximate probabilities for some binomial and Poisson distributions, Other probability distributions: uniform, exponential, and gamma distributions, functions of random variables- mathematical expectation- the moment generating function, Properties of mathematical expectation.
التوزيعات الاحتمالية المنفصلة (دالة الكتلة الاحتمالية وخواصها - التوقع الرياضي والتباين والانحراف المعياري والدوال المولدة للعزوم للتوزيعات المنفصلة).التوزيعات الاحتمالية المتصلة (دالة الكثافة الاحتمالية وخواصها - التوقع الرياضي والتباين والانحراف المعياري والدوال المولدة للعزوم للتوزيعات المتصلة).المتغيرات العشوائية الثنائية المنفصلة والمتصلة و خواصها (التوقع للمتغير العشوائي الثنائي، التباين المشترك (التغاير)، معامل الارتباط للمتغير العشوائي الثنائي، التباين لمجموع أو الفرق بين متغيرين ، الدوال المولدة للعزوم للمتغير العشوائي الثنائي).التوزيعات ذات المتغيرين (التوزيعات الهامشية والشرطية - استقلال متغيرات عشوائية- التوقع الشرطي).توزيعات دوال في متغيرات عشوائية.العينات العشوائية (توزيع متوسط العينة – قانون الأعداد الكبيرة – نظرية النهاية المركزية).
·Follow on from, and reinforce, a level mathematics.
·Present students with a wide range of mathematics ideas in preparation for more demanding material later.
· Enable students to apply Mathematical tools/ techniques to product project Broaden skills in team work, critical thinking, communication, planning and scheduling through design project
· Enable students to consider safety, ethical, legal, and other societal constraints in execution of their design projects
Outcomes:
1. Know how a team can use the Statistical Inference process to carry out a project
2. Solve open-ended problems, cope with decision making and satisfy competing objectives
3. Apply knowledge, as needed, to design a satisfactory system to achieve a final successful project
4. Prepare a needs-assessment and define a deliverable for a project
5. Understand the impact of aesthetic and human aspects
6. Use and integrate the fundamentals studied previously towards the goal of analyzing and designing project to achieve
7. Deliver a final oral presentation for their project.
8. Produce final design report as part of their deliverable
9. Use appropriate software for project, modeling, and analysis
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No. of Weeks |
Contact hours |
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Lecture |
tutorials |
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2 |
6 |
2 |
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3 |
9 |
3 |
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1 |
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3 |
9 |
3 |
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2 |
6 |
2 |
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1 |
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3 |
9 |
3 |
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2 |
6 |
2 |
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1 |
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2 |
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References:
الكتب المقررة والمراجع :
1. Perm S. Mann: Introductory Statistics, John Wiley and sons, Inc., 2001
2. Harry Frank, Steven C. Althoen: Statistics concepts and Applications. Cambridge University Press, 1994.
3. جلال الصياد: نظرية الاحتمالات ، دار حافظ للنشر والتوزيع ،السعودية ،(الطبعة الرابعة) 1421 هـ / 2000م.
4. Applied Statistics and Probability for Engineers. Seventh edition D.C. Montgomery & G. C. Runger John Wiley & Sons. 2011: 13:978 -0-470-05304-1
5. A Modern Introduction to Probability and Statistics Frederik MIChel Dekking Cornelis Kraaikamp Hendrik Paul Lopuhaa ¨Ludolf Erwin Meester Springer-Verlag London Limited : 2005: 13: 978-1-85233-891-1
المحاضرات
Download
Lecture Name
PDF
PPT
Set Theory
PDF
PPT
Applying set theory to probability
PDF
PPT
Independence
PDF
PPT
Tree Diagram
PDF
PPT
Counting Techniques
PDF
PPT
Discrete Random Variable
PDF
PPT
Cumulative Distribution function
PDF
PPT
(Averages (Expected Value
PDF
PPT
Function of Random Variable
PDF
PPT
2 Function of Random Variable
PDF
PPT
Variance and standard Deviation
PDF
PPT
Continuous Random Variables
PDF
PPT
Some Useful Continuous Random Variables
Tests نماذج إختبارات
Semester الفصل
الدراسي
Academic Year العام
الدراسي
Download تحميل
Final 1st الأول
1432
Mid-term Exam اختبار فصلي
1433
Final 2nd الثاني
1433
Final 2nd الثاني
1435
Questions Bank Probability Distribution Theory Stat 202
الملفات المرفقة
- Counting Techniques (4-3 Counting Techniques.ppt - B)
- Tree Diagram and Counting Methods (4-3 Counting Techniques.ppt - B)
- Independence (INDEPENDENCE.ppt - B)
- Set Theory (SetTheory.ppt - B)
- Applying set theory to probability (Applying set theory to probability.ppt - B)
- Discrete Random Variables (Discrete Random Variables.ppt - B)
- Discrete Random Variables (Discrete Random Variables.ppt - B)
- probability and stochastic processes a friendly introduction for electrical and computer engineers (probability-ch1.pdf - B)
- Cumulative Distribution function (Cumulative Distribution function.pdf - B)
- Averages (Expected Value) (Averages.pdf - B)
- Function of Random Variable (Function of Random Variable.pdf - B)
- ( Function of Random Variable (Tutorials (Function of Random Variable2.pdf - B)
- SetTheory (SetTheory.pdf - B)
- Applying set theory to probability (Applying set theory to probability.pdf - B)
- Variance and standard Deviation (Variance and standard Deviation.pdf - B)
- Continous Random Variables (Continous Random Variables.pdf - B)
- Some Useful continuous Random Variables (some Useful R.V..pdf - B)
- Questions Bank-STAT202 (Questions Bank-STAT202.pdf - B)