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