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SYLLABUS

UNIT-I

Basic Probability Probability Spaces, Conditional Probability, Independent Events and Bayes’ Theorem. Random Variables: Discrete and Continuous Random Variables, Expectation of Random Variables, Moments, Variance of Random Variables, Chebyshev’s Inequality.

UNIT-II

Discrete Probability Distributions Binomial, Poisson, Evaluation of Statistical Parameters for these Distributions, Poisson Approximation to the Binomial Distribution.

UNIT-III

Continuous Random Variable and Distributions Continuous Random Variables and their Properties, Distribution Functions and Densities, Normal, Exponential and Gamma Distributions, Evaluation of Statistical Parameters for these Distributions.

UNIT-IV

Applied Statistics Curve Fitting by the Method of Least Squares – Fitting of Straight Lines, Second Degree Parabolas and More General Curves, Correlation and Regression – Rank Correlation.

UNIT-V

Test of Hypothesis Test of Significance: Large Sample Test for Single Proportion, Difference of Proportions, Single Mean, Difference of Means; Test for Single Mean, Difference of Means for Small Samples, Test for Ratio of Variances for Small Samples.