Course Probability & Statistics Sem 4 Live Class Faculty Sanjeev Sabnis, IITB Session No. Date 1 21-Jan-14 2 3 23-Jan-14 28-Jan-14 4 5 6 30-Jan-14 4-Feb-14 6-Feb-14 7 8 9 11-Feb-14 13-Feb-14 18-Feb-14 10 11 20-Feb-14 25-Feb-14 12 27-Feb-14 13 4-Mar-14 14 6-Mar-14 15 16 17 18 19 20 11-Mar-14 13-Mar-14 18-Mar-14 20-Mar-14 25-Mar-14 27-Mar-14 Prep Material Pre-requisites (i) Introduction to Probability and Statistics for Statistics and its Role in Scientific Inequiry/Description of data Engineers and Scientists by Sheldon Ross, 3rd Edition, 2005, Tuesday 12:00 NOON - 1:00 PM sets by Graphs and Tables Knowledge of elementary Summerizing Data sets using Measures of Central Tendency Academic Press. Thursday 12:00 NOON - 1:00 PM and Variation calculus Tuesday 12:00 NOON - 1:00 PM Elements of Probability/Axioms of Probability Day Time Topic Thursday 12:00 NOON - 1:00 PM Properties of Probability Tuesday 12:00 NOON - 1:00 PM Counting Techniques/Examples Thursday 12:00 NOON - 1:00 PM Conditional Probability/Bayes' Formula/Examples Independent Events/Random Variables/Types of Random Tuesday 12:00 NOON - 1:00 PM Variables Thursday 12:00 NOON - 1:00 PM Cumulative Distribution Function/Examples Tuesday 12:00 NOON - 1:00 PM Expected values and its properties/Examples Bernoulli, Binomila, Poisson, Geometric, Hypergeometric Thursday 12:00 NOON - 1:00 PM random variables/Examples Tuesday 12:00 NOON - 1:00 PM Normal Random Variables/Examples Exponential, Gamma, chi-square , t and F Thursday 12:00 NOON - 1:00 PM distributions/Examples The normal approximation to the Binomial distribution/Random Sampling/Statistiscal Sampling Tuesday 12:00 NOON - 1:00 PM Distributions/Examples Distribution of the Sample Mean and the Central Limit Thursday 12:00 NOON - 1:00 PM Theorem/Checking the assumption of Normal Population Sampling Distribution from a Normal Population/ Sampling Tuesday 12:00 NOON - 1:00 PM from a Finite Population Thursday 12:00 NOON - 1:00 PM Tuesday 12:00 NOON - 1:00 PM Thursday 12:00 NOON - 1:00 PM Tuesday 12:00 NOON - 1:00 PM Thursday 12:00 NOON - 1:00 PM (ii) Probability and Statistics for Engineers by Jay L. Devore, 2008, Cengage Learning.