Probability and Statistics - MATH F113

Instructors: Dr. Yasmeen Akhtar, Dr. Prabal Paul, Dr. Anupama Sharma, and Dr. Himadri Mukherjee

Audience: 1st year B.E. students at BITS Pilani K K Birla Goa Campus (Section 1, 2, 3)

Tutors: Askar Ali, Bandana Bandana, Ram Singh

Schedule: Online via Google Meet

Lectures: Tuesday, Thursday, Saturday 12:00-12:50 PM

Tutorial: Thursday, Saturday 8:00-8:50 AM

Course Handout: Here.

Weekly schedule: Dr. Prabal Paul will be teaching the first half till 31 Dec 2021.

01/01/22 - Joint prob. distribution, marginal prob. distribution, conditional distribution, independent random variables

04/01/22 - Examples, Multinomial distribution, Expectation of sum and product of independent rv's, Covariance and Correlation

06/01/22 - Bivariate normal distribution, Statistic and Random Sample, the idea of simulation experiment

08/01/22 - Distribution of Sample Mean and Sample Total

Lecture 1 Lecture 2 Lecture 3 Lecture 4

11/01/22 - 15/01/22 Midsemester Exams

18/01/22 - The Central Limit theorem, Approximating the Binomial distribution, Examples

20/01/22 - Point Estimation, Unbiased and MVUE

22/01/22 - Standard Error, Method of Moments, Method of Maximum Likelihood

Lecture 5 Lecture 6 Lecture 7

25/01/22 - No class (2nd Midsemester)

27/01/22 - No class (2nd Midsemester)

29/01/22 - Confidence Interval, Confidence level, Precision, Sample Size

Lecture 8

01/02/22 - CI for population proportion, One-sided CI, t-distribution

03/02/22 - Prediction Interval, Chi-square critical value, Hypothesis Testing

05/02/22 - Holiday

Lecture 9 Lecture 10

08/02/22 - Type I and Type II error, z-test for Hypotheses about the population mean

10/02/22 - One sample t-test for hypotheses about the population mean

12/02/22 - Simple linear regression

Lecture 11 Lecture 12 Lecture 13

13/02/22 - Quiz

15/02/22 - Simple linear regression, coefficient of determination

Lecture 1 4

23/02/22 - Comprehensive