Week
Topics covered
1
Statistical Inference, Collection of Data, Measures of Location and Variability, Data Description.
2
Sample Space, Events, Algebra of Events, Axioms of Probability.
3
Conditional Probability, Multiplicative Rule, Independent Events, Bayes’ Rule.
4
Random Variables, Discrete and Continuous Distributions.
5
Joint Probability Distribution.
6
Mean of a Random Variable, Variance and Covariance.
7
Linear Combinations of Random Variables.
8
Discrete Uniform Distribution, Binomial and Multinomial Distributions.
9
Hypergeometric, Geometric, Negative Binomial and Poisson Distributions.
10
Continuous Uniform and Normal Distributions.
11
Gamma and Exponential Distributions and Applications.
12
Other Continuous Distributions.
13
Random Sampling.
14
Sampling Distributions, Central Limit Theorem.
Last day of classes, Fri., May 13