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Unit - 1 Basic Probability

Module 1Basic Probability

1.1 Probability Spaces

1.2 Conditional Probability

1.3 Independence Discrete Random Variables

1.4 Random Variable

1.5 The Multinomial Distribution

1.6 Poisson Approximation to the Binomial Distribution

1.7 Bernoulli trials

1.8 Expectation of Discrete Random Variables Moments

1.9 Variance Of A Sum Correlation Coefficient Chebyshevs Inequality

Unit - 2 Continuous Probability Distributions

Module 2Continuous Probability Distributions

2.1 Continuous Random Variables

Unit - 3 Bivariate Distributions

Module 3Bivariate Distributions

3.1 Bivariate Distributions

3.2 Distribution of Sums and Quotients

3.3 Conditional Densities

3.4 Bayes Rule

Unit - 4 Basic Statistics

Unit 4Basic Statistics

4.1Measures of Central Tendency

4.2 MOMENTS

4.3 Probability Distributions Binomial Poisson and Normal

4.4 Evaluation of Statistical Parameters for These Three Distributions

4.5 CORRELATION

4.6 Spearman’s Rank Correlation

Unit - 5 Applied Statistics

Unit – 5Applied Statistics

5.1 Curve Fitting by the Method of Least Squares Fitting Of Straight Lines

5.2 Second Degree Parabolas and More General Curves

5.3 Test of Significance Large Sample Test for Single Proportion

5.4 Difference of Proportions

5.5 Single Mean

5.6 Difference of Means and Difference of Standard Deviations

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