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Zarqa University Instructor: :

Faculty of Science Lecture’s time:

Department: Mathematics Semester:

Course title: Theory of Probability (0301334)

Office Hours:

Course description:

This course deals with the discrete and continuous random variables, Discrete and continuous probability models, moments, Independence,

Transformations and Multidimensional random variables

Aims of the course:

1. To acquaint students with random variables and probability distributions 2. To acquaint students with some discrete and continuous probability models 3. To introduce some theorems and their useful applications

4. To familiarize students with multidimensional random variables

5. To familiarize students with some mathematical tools needed in statistics.

Intended Learning Outcomes: (ILOs)

A.

Knowledge and Understanding A1. Concepts and Theories:

A2. Contemporary Trends, Problems and Research:

A3. Professional Responsibility:

B.

Subject-specific skills B1. Problem solving skills:

B2. Modeling and Design:

B3. Application of Methods and Tools:.

C.

Critical-Thinking Skills C1.Analytic skills: Assess C2.Strategic Thinking:

C3. Creative thinking and innovation:

D.

General and Transferable Skills (other skills relevant to employability and personal development) D1.Communication:

D2.Teamwork and Leadership:

:رادإصلا خيرات 24

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Course structures:

Wee k

Credit

Hours ILOs Topics Teaching

Procedure

Assessment methods

1 3

A1, B2,

B3.

Probability Distributions and cdf of the discrete Type

Lecturing, examples Discussion,

Solving problems with models

2 3

A1

, B1 Probability density function and the cdf of the

continuous r.v.

Lecturing, Discussion,

Model building

3 3 A1, B3.

A3.

Distributions of Two Random Variables , Expectations

Lecturing, examples Discussio

n,

Participation

4 3 A1, B1. Conditional Distributions and Expectations

Lecturing, examples

discussion, Cooperative learning

5 3 A2 Correlation

Coefficient, Independence

Lecturing, oral

discussion Participation

6,7,8 9 B3, D2 Special discrete

distributions

Lecturing, examples different sources of information

9,10 6 A

1

Special continuous distributions

Lecturing, oral discussion

11,12 6 B1, B2,

C2.

Transformations of Variables of the Discrete and continuous

Lecturing, examples Cooperative learning

13 3 A1, C3 The Moment Generating

Function Technique

Lecturing, oral

discussion Learning by

activities

References:

Main Textbook: Dennis D. Wackerly,W Mendenhall and Richard L. Scheaffer (2008), Mathematical Statistics with Applications, Thomson

Supplementary Textbook(s): (1) Introduction to Mathematical Statistics (1995) By Robert V .

Hogg & Allen T. Craig, Prentice Hall, 5

th

edition .

2 . Introduction to Probability Theory and Statistical Inference

) 1982 ( By Larson H. J. NW, John Wiley. 5

th

edition

3. Probability and Statistics for Engineers and scientists (1985). By Walpole R. E. NY: McMillan.

4. Introduction to the Theory of Statistics, third edition, by Mood, Graybill and Bos Assessment Methods:

Methods Grade Date

Firs Exam 25%

Second Exam 25%

Final Exam 50%

:رادإصلا خيرات 24

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