Unit-I 1.1 Indian Contribution in Statistics :

1.1.1 P.C. Mahalanobis

1.1.2 C. Radhkrishna Rao

1.1.3 Samanta Chandra Sekhar Harichandran

1.1.4 J.K. Ghose

1.1.5 P. Maiti

1.2 Theory of Probability :

1.2.1 Event and Sample Space

1.2.2 Probability of an Event

1.2.3 Addition and Multiplication Theorem of Probability

1.2.4 Inverse Probability

1.2.5 Baye's Theorem

1.2.6 Continuous Probability

1.2.7 Probability Density Functions and its Applications

1.2.8 Standard Deviation of Various Continuous Probability Distributions

1.2.9 Mathematical Expectation

1.2.10 Expectation of Sum and Product of Random Variables

Unit-II Dispersion and Distribution :

2.1 Measures of Dispersion

2.1.1 Range and interquartile range

2.1.2 Mean Deviation and Standard Deviation

2.1.3 Moments, Skewness and Kurtosis

2.2 Moment Generating Function

2.3 Theoretical distribution with their properties and uses

2.3.1 Binomial

2.3.2 Poisson

2.3.3 Rectangular

2.3.4 Exponential

Unit-III Curve Fitting & Correlation :

3.1 Methods of Least Squares

3.2 Curve Fitting

3.3 Correlation and Regression

3.4 Partial and Multiple Correlations (up to three variables only)

Unit-IV Sampling :

4.1 Sampling of Large Samples

4.2 Null and alternative Hypothesis

4.3 Errors of First and Second Kinds

4.4 Level of Significance and Critical Region

4.5 Tests of Significance based on chi-square (c2), t, F and Z distribution