Course Name: Probability and Statistics

 

Course Code:

 

Course Duration: 17 Study weeks

 

Credit Hrs: 3

 

Course Team: Hina Muzaffar

 

Course Description:

 Introduction to statistical experimentation and research methods with applications to natural and social sciences this course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. The four broad conceptual themes are exploring data, planning a study, anticipating patterns. Systematic coverage of the more widely used statistical methods, including simple regression and correlation. Students are expected to make a presentation in an applied field and complete a data-based project as part of the course requirement

 

 

Pre-Requisites: Elementary Mathematics.

 

Course Goal:

· Make students to understand the importance of Statistics

· Teach  students how the data can be described

· Focus on the applications of descriptive Statistics in real life data

· Using the Statistical Software for descriptive Statistics

· Develop the interest the random events and the distributions of these events.

Applications of regression and correlation in real life data

 

Course outline and Schedule:

GC University Lahore

 

Computer Science Department

Assessment Strategies:

 

Mid term        30%

Final Term     40%

Assignment    10%

Project            20%

 

Recommended Course Reader:

 

Introduction to Statistics, Walpole, 1982 Prentice Hall.

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

Advances in Statistical Analysis and Statistical Computing III Mariano R (Ed.), (1993), JAI Press, Greenwich, Conn.

Statistical Techniques in Business and Economics, L.A Douglas, M.G.William, W.A.Samuel,13th Ed, Tata McGraw-Hill.

Week

Topics

Teaching and Learning

1

Statistics: Definition and explanation

Branches of statistics

Descriptive Statistics

Statistics in decision making

Examples

Description

Explanation

Examples

2

Graphical representation of Data Stem-and leaf plot

Box-Cox plots

Histogram and Ogive

 

Description

Explanation

Examples

Assignment 1

3

Measure of central tendencies: Mean, Median and Mode.

Description

Explanation

Examples

4

Dispersion for grouped and ungrouped data: Variance, Standard Deviation.

Description

Explanation

Examples

Assignment 2

5

Moments of frequency distribution

Example with real life

Description

Explanation

Examples

6

Use of Elementary statistical packages for explanatory data analysis

Description

Explanation

Examples

Assignment 3

7

Counting techniques

Definition of probability with classical and relative frequency and subjective approaches

Description

Explanation

Examples

8

 

 

 

Sample space

Events

Laws of probability

 

Description

Explanation

Examples

Assignment 4

9

General probability Distribution

Conditional probability

Description

Explanation

Examples

10

Bayes theorem with application to random variable

Discrete and Continuous

Description

Explanation

Examples

Assignment 5

11

Binomial distribution

Poisson Distribution

Description

Explanation

Examples

Assignment 6

12

Geometric Distribution

Negative Binomial Distribution

Description

Explanation

Examples

Assignment 7

13

Exponential and Gamma Distributions

 

Description

Explanation

Examples

Assignment 8

14

Normal Distribution

Description

Explanation

Examples

Assignment 9

15

Regression

Description

Explanation

Examples

16

Correlation

Description

Explanation

Examples

Assignment 10

17

Statistical Packages

Description

Explanation

Examples