RANDOM VARIABLES: Probability- Conditional Probability- Bayes Theorem, Random experiment, sample space, events, Random variable, Discrete and Continuous variables, mathematical expectation and properties of Moment generating Functions(Without proof).
DISTRIBUTIONS Binomial, Poisson distributions (MGF, Mean and Variance without proofs), Normal distribution (MGF, area and symmetric properties without proofs) -related properties, Gamma and Weibull distributions.
SAMPLING DISTRIBUTIONS Introduction, Population and samples, Sampling distribution of mean for large and small samples (with known variance), proportion - Point and interval estimators for means and proportions (for large and small samples), Maximum error.
TESTING OF HYPOTHESIS Introduction, Null and alternative hypothesis, Type I and Type II errors, one tail, two-tail tests, Level of Significance. Tests concerning means, proportions and their differences using Z-test. Student’s t-test, F-test and 2 test of goodness of fit and independence of attributes.
CORRELATION & CURVE FITTING Introduction, simple correlation, regression, fitting of straight-line, second-degree curves, exponential and power curves by method of least squares.