Descriptive Statistics: recapitulation, Probability: classical and modern definitions, Bayes’ theorem, joint probability distribution, Random variable: discrete and continuous probability distributions, expectation, variance, covariance and correlation, Theoretical probability distributions: Binomial, Hypergeometric, Poisson, Uniform and Normal, Sampling: simple random sampling with and without replacement, sampling distributions: Normal, Chi-square, t and F, Estimation and Hypothesis Testing: point and interval estimations, type I and type II errors, testing of significance, power of a test, p value; Introduction to regression: two variable regression, estimation and hypothesis testing.
