University :Mansoura University |
Faculty :Faculty of Science |
Department :Mathematics Department |
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| 1- Course data :- |
| | Code: | 15315 | | Course title: | نظرية الإحتمالات (1) - الطرق الإحصائية (1) | | Year/Level: | ثالثة الإحصاء وعلوم الحاسب | | Program Title: | - Statistics & Computer science
| | Specialization: | | | Teaching Hours: | Theoretical: | 6 | Tutorial: | 2 | Practical: | |
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| 2- Course aims :- |
| - •The main purpose of this course is to provide students by the concepts of theory of probability such as continuous random variable, Moment generating function and its applications, some discrete and continuous probability distributions, and the vector of random variables, some discrete and continuous probability distributions.
- The main purpose of this course is to provide students by the basic concepts and tools of the parametric and nonparametric testing of hypotheses.
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| 3- Course Learning Outcomes :- |
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| 4- Course contents :- |
| | No | Topics | Week |
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| 1 | Gamma distribution - Beta distribution | | | 2 | Joint, marginal and conditional distributions | | | 3 | Independence and conditional expection | | | 4 | Distributions of functions of random variables- sums, product-quotiont | | | 5 | Cumulative- distribution-function Technique | | | 6 | Moment generating function and Technique | | | 7 | Central limit theorem | | | 8 | Sampling disrtibutions- Sample mean | | | 9 | Confidence interval for mean, variance, difference of means | | | 10 | Testing of hypotheses on means, variance, several means, several variances | | | 11 | Chi-square testes | | | 12 | Testes of independence in contingency table | | | 13 | Sign test, Wixcon test, Run test, Rank sum test | |
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| 5- Teaching and learning methods :- |
| | S | Method |
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| Borde and normal method |
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| 6- Teaching and learning methods of disables :- |
| - no student
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| 7- Student assessment :- |
| A. Timing |
| | No | Method | Week |
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| 1 | oral exam | 15 | | 2 | final exam | 15 |
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| B. Degree |
| | No | Method | Degree |
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| 1 | Mid_term examination | 0 | | 2 | Final_term examination | 90 | | 3 | Oral examination | 10 | | 4 | Practical examination | 0 | | 5 | Semester work | 0 | | 6 | Other types of asessment | 0 | | Total | 100% |
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| 8- List of books and references |
| | S | Item | Type |
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| 1 | Course Notes | | | 2 | Rebert, V.H and Allan, T. Introduction to mathematical statistics. | | | 3 | Douglas, C. and George, C. (2003). Applied statistics and probability for engineering. John Wiley & Sons. Inc | |
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| 9- Matrix of knowledge and skills of the course |
| | S | Content | Study week |
|---|
| Gamma distribution - Beta distribution | | | Joint, marginal and conditional distributions | | | Independence and conditional expection | | | Distributions of functions of random variables- sums, product-quotiont | | | Cumulative- distribution-function Technique | | | Moment generating function and Technique | | | Central limit theorem | | | Sampling disrtibutions- Sample mean | | | Confidence interval for mean, variance, difference of means | | | Testing of hypotheses on means, variance, several means, several variances | | | Chi-square testes | | | Testes of independence in contingency table | | | Sign test, Wixcon test, Run test, Rank sum test | |
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| Course Coordinator(s): - |
| - Beh Elsaid Eldesouqy Belal
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| Head of department: - |
| Ahmed Habeb Mohamed Nageb Elbassiony |
