Module-7

 

1. Random variables and probability distributions:

   1. Random variables,

   2. Mathematical Expectation,

   3. Definitions and

   4. properties of probability mass function,

   5. probability density function and

   6. distribution function.

   7. Independence of random variables;

   8. Moment generating function;

   9. Standard distributions –

      1. Uniform,

      2. Binomial,

      3. Poisson and

      4. Normal distribution.

2. Bivariate distribution:

   1. Joint distribution of two random variables,

   2. marginal and conditional distributions.

3. Correlation and regression:

   1. Scatter Diagram,

   2. Karl Pearson’s Correlation Coefficient,

   3. Spearman’s rank correlation coefficient.

   4. Principle of least squares –

      1. curve fitting –

      2. Simple linear regression.