Course Outline: Probability & Statistics

 

 

Resource                 : Mr.Inam-ul-Haq

Designation            : Associate Professor

Department            : Statistics

Credit Hours          : 3

Institution               : GC University, Lahore

Telephone               : 111-000-010

Ext.No                      : 313       

Lectures  : 3

Semester                 : Fall 2007

E-Mail                      :

 

 

Course Objectives:

To introduce the basic concept of statistics, randomness and probability and build on these concept to develop tools and techniques to work with random variables

 

Reference Books:

Introduction to Statistics, Walpole, 1982 Prentice Hall, ISBN: 0024241504.

Statistical Data Analysis, G. Cowan G, 1998, Clarendon, Oxford.

Advances in Statistical Analysis and Statistical Computer III Mariano R (Ed.), (1993),

JAI Press, Greenwich, Conn.

 

Software Required:

Statistical Package for Social Science (SPSS)

 

 

 

 

 

 

 

 

 

 

 

 

 

GC University Lahore

 

Computer Science Department

 

Grading Criteria:

 

Quiz / Assignment                                 10

Assignments                                            10

Mid Term Tests                      30

Project                                                        25

Final Exam                                               25

 

Total                                                           100

 

Course Outline and Schedule

 

Week

Topics to be covered

1

Introduction to Statistics, Descriptive & inferential Statistics, Role of Statistics in decision making.

2

Graphical representation of Data, Stem and leaf plots, Box, Histogram and give

3

Measures of central tendencies, Basic concepts & numerical illustration  to the applied side

4

Measures of Dispersion for grouped as well as ungrouped data, Basic definitions, concept and numerical illustration with real life examples

5

Moments of the frequency distribution, concept of symmetry and skewness, Pearson' s and Bow ley's, Coefficient of skewness

6

Use of Elementary statistical package for explanatory data analysis

7

Counting Techniques, Difference between Permutations and Combinations, examples with real life problems

8

An overall discussion to link up the basic concepts studied in the first seven weeks of the term

 

MID-BREAK

Week

Topic to be Covered

9

The need of probability for making the inferences from the real life data

Definition of probability with classical and relative frequency approach  and subjective approaches

10

Basic concept of the sample space, event and laws of probability

11

Concept of the general probability distributions Idea of conditional probability and numerical illustration

12

Bays theorem with application to random variable

13

Basic idea of discrete probability distributions & Viz , Binomial and Prisson

14

Concepts & numerical illustration of geometric and negative Binominal distributions.

15

Concept of Exponential, Gamma and Normal distribution.

16

Basic idea of Regression, Regression Coefficient & Regression lines

Concept of Correlation, Correlation Coefficient, Perfect positive and perfect negative correlation and the properties of Correlation.