Probability and Statistics - MATH F113

Instructors: Dr. Yasmeen Akhtar, Dr. Shilpa Gondhali (Sec 3-4), Dr. Himadri Mukherjee

Audience: 1st year B.E. students at BITS Pilani K K Birla Goa Campus (Sec 1-2)

Tutors: Pawar Ravindra Kuber (Sec 1), Binay Sahu (Sec 2), Shravani V Shetgaonkar (Sec 3), Sujit Kumar Pradhan (Sec 4)

Lectures: Monday, Wednesday, and Thursday 2:00-2:50 PM at LT1

Tutorial: Sec 1: Saturday 8:00-8:50 AM at C401 and Sec 2: Saturday 12:00-12:50 PM at A605

Course Handout:

Schedule:

19/10/22 - Overview of the course, Introduction to probability, Random Experiment, Sample Space, Events, Axioms of probability

20/10/22 - Properties of Probability, Examples, Review of counting technique, Permutation, Combination

26/10/22 - Conditional Probability, Properties, Independence, and the Multiplication Rule, Bayes' Theorem

27/10/22 - Examples on Bayes' Theorem, Introduction to a random variable, Discrete random variable, pmf, its properties, and representation

31/10/22 - Cumulative distribution function, Expected value, Variance, Standard deviation

02/11/22 - Moments, Moment Generating Function: Properties and Application, Independent random variables

03/11/22 - Discrete Uniform, Bernoulli, and Binomial distribution

07/11/22 - Examples, Hypergeometric distribution

09/11/22 - Examples, Hypergeometric approximation to Binomial, Geometric distribution

10/11/22 - Geometric distribution, Memoryless property, Examples

14/11/22 - Poisson distribution, Examples

16/11/22 - Continuous random variable, pdf and its properties, density cuve, cdf, Examples

17/11/22 - Expected value, Variance, Standard deviation, mgf, and Percentile of continuous rv, Examples

22/11/22 - Makeup Classes for late admission (3:00-5:40 PM)

23/11/22 - Continuous Uniform Distribution, Normal Distribution, Standard Normal Distribution, z-Curve

24/11/22 - The z-critical values, standardizing the normally distributed rv, percentile of arbitrary normal distribution, Examples, Gamma function

28/11/22 - The Gamma Distribution, The Exponential Distribution

30/11/22 - Examples, Chi-squared Distribution

01/12/22 - Chebyshev's Inequality, Joint probability distribution

05/12/22 - Marginal distribution & Conditional Distribution from joint prob. distribution, Independent random variables

07/12/22 - Joint cdf, Expected value of the function of two random variables, Variance of linear combination of two variables, Covariance, Examples

08/12/22 - Correlation, Bivariate Normal Distribution, Joint distribution of more than two random variables, Multinomial Distribution, mgf of linear combination of independent rvs, Examples

12/12/22 onwards classes by Dr. Himadri M