Probability and Statistics - MATH F113

Instructors: Dr. Yasmeen Akhtar, Dr. Gunja Sachdeva, Dr. Shilpa Gondhali

Audience: 1st year B.E. students at BITS Pilani K K Birla Goa Campus (Sec 21, 22, 23, 24)

Tutors: Abhishek Yadav, Askar Ali, Sayantan Ganguly, Ram Singh

Schedule: Offline/ Online (TBA)

Lectures: Tuesday, Thursday 12:00-01:30 PM (Sec 21, 22) at LT3

Tuesday, Thursday 04:00-05:30 PM (Sec 23, 24) at LT3

Tutorial: Monday 8:00-8:50 AM

Course Handout: Here.

Weekly schedule:

10/05/22 - 20/06/22 First half of the course by Dr. Gunja Sachdeva and Dr. Shilpa Gondhali.

21/06/22 - Markov's inequality, Chebyshev's inequality, Joint prob. distribution, Marginal & conditional distribution, independent r.v.s

23/06/22 - Examples, Functions of jointly distributed r.v s, Expectation, Covariance

28/06/22 - Examples, Correlation, Linear combination of r.v s

02/07/22 - Midsemester Exam

05/07/22 - Statistic and Random Sample, Distribution of Sample Mean and, Sample Total, The Central Limit theorem

07/07/22 - Approximating the Binomial distribution, Examples, Point Estimation, Unbiased Estimator

12/07/22 - MVUE, Standard Error, Method of Moments, Method of Maximum Likelihood

14/07/22 - Example, Confidence Interval, Confidence level, Precision, Sample Size---(For Population Mean)

16/07/22 - Quiz 2

19/07/22 - Example, CI for population proportion, One-sided Confidence bound, t-distribution, t confidence Interval, Prediction Interval, Chi-square critical value

21/07/22 - Hypothesis Testing, P-value, Type I and Type II error

26/07/22 - z-test, Large sample test, and One sample t-test for Hypotheses about the population mean

28/07/22 - Simple linear regression: Least squares line, Coefficient of determination, Distribution of point-estimator for the slope parameter, CI for slope parameter, Model Utility Test

01/08/22 - Last day for classwork

12/08/22 -Comprehensive Exam