# Probability & Statistics(STAT) Syllabus

This page contains Syllabus of Probability & Statistics of BCA.

Title | Probability & Statistics |

Short Name | STAT |

Course code | CACS202 |

Nature of course | Theory + Practical |

Third Semester | |

Full marks | 60 + 20 + 20 |

Pass marks | 24 + 8 + 8 |

Credit Hrs | 3 |

Elective/Compulsary | Compulsary |

### Course Description

**Course Description**

This course covers basic concept of statistics.. measurement of central tendency, correlation & regression analysis, probability. sample survey, sample survey methods and design of experiment. These topics are essential tools for research.

**Course Objective**

The general objectives of this course are to provide fundamental concept of Statistics, Probability, Sample Survey and their applications in the area of Social Science and Computer Application.

### Units and Unit Content

- 1. Introduction to Statistics
- teaching hours: 3 hrs
Meaning, Scope and Limitations of Statistics, Types and Sources of Data, Methods and Problems of Collection of Primary and Secondary Data.

- 2. Descriptive Statistics
- teaching hours: 6 hrs
Measure of Central Tendency (Arithmetic Mean, Median, Partition Values, Mode); Measure of Dispersion(Absolute and Relative Measures Range, Quartile Deviation, Mean Deviation, Standard Deviation and Coefficient of Variation)

- 3. Correlation and Regression Analysis
- teaching hours: 3 hrs
**Correlation:**Definition, Scatter diagram, Karl Pearson's coefficient of correlation, Numerical problems for determination of Correlation Coefficients.**Regression:**Definition, Dependent and Independent Variables, Least Square nethod only, Numerical Problems.- 4. Probability
- teaching hours: 8 hrs
Definition of Probability, Two basic Laws of Probability( without proof), Conditional Probability; Probability Distributions(Binomial, Poisson and Normal); simple numerical problems.

- 6. Sample Survey
- teaching hours: 6 hrs
Concept of Population and Sample; Needs of Sampling; Censuses and Sample Survey; Basic Concept of Sampling; Organizational Aspect of Sample Survey; Questionaire Design: Sample Selection and Determination of Sample Size; Sampling and Non Sampling Errors.

- 6. Sample Survey Methods
- teaching hours: 10 hrs
Types of Sampling: Simple Random Sampling with and without Replacement; Stratified Random Sampling; Ratio and Regression Method of Estimation under Simple and Stratified Random Sampling; Systematic Sampling; Cluster Sampling; Multistage Sampling; Probability Proportion to Size Sampling (PPS), Estimation of Population Total and its Variance, Sampling Distributions(t, x

^{2}, z) and Related Problems.- 7. Design of experiment
- teaching hours: 6 hrs
Concept of Analysis of Variance(ANOVA), F-Statistic and its Distribution, Linear Model in ANOVA, Analysis of One Way, Two Way Classification(I and m observations per cell)in Fixed Effect Model.

### Lab and Practical works

**Laboratory Works **

Techniques for using the computer as a tool in the analysis of statistical problems will be introduced. SPSS software should be used for data analysis