Probability and Statistics - MATH U113

Instructor In-Charge: Dr. Yasmeen Akhtar

Instructors: Dr. Yasmeen Akhtar (Section L1), Dr.  Shreyashi Basak (Section L2)

Tutors: Neha Parveen, Patil Jatin Suresh, Siddhant Naik, Gamini R Magar

Lecture Schedule for Section L1:  Monday, Wednesday, Friday — 9:00 AM-9:50 AM at LT3

Tutorial and Lab Schedule: Tuesday, Thursday — 5:00 PM-6:50 PM

Evaluation:     

• Quizzes: 10% 

• Lab: 20%

• Midsemester Exam: 30%

• Comprehensive Exam: 40%

Course Handout: Available on Quanta.

Lectures and Tutorial Plan (Tentative):  

03/08/26 - Overview of the course,  Random Experiment, Sample Space, Events, Axioms of Probability and Properties

04/08/26 and 06/08/26: Lab/ Tutorial 1 — Classical Probability (based on topics covered till Lecture 1)

05/08/26 - Conditional Probability, Properties, Independence, Law of Total Probability

07/08/26 - Bayes' Theorem, Introduction to a random variable, Discrete random variable, PMF

10/08/26 - Properties and representation of PMF, CDF, Expected value, Variance, and standard deviation

11/08/26 and 13/08/26: Lab/Tutorial 2 — Conditional Probability, Discrete Probability Densities, CDF, Expectation, Variance  (based on topics covered till Lecture 4)

12/08/26 - Properties of variance, Moments, and Moment generating function, Discrete Uniform Distribution

14/08/26 - 

17/08/26 - 

18/08/26 and 20/08/26: Lab/Tutorial 3 — Binomial, Negative Binomial (based on topics covered till Lecture 7)

19/08/26 - 

21/08/26 - 

24/08/26 - 

25/08/26 and 27/08/26: Lab/Tutorial 4 — Hypergeometric, Geometric Distributions (based on topics covered till Lecture 09)

26/08/26 - Holiday

28/08/26 - Holiday

31/08/26 - 

01/09/26 and 03/09/26: Lab/Tutorial 5 — Poisson Distribution (based on topics covered till Lecture 11)

02/09/26 - 

04/09/26 - Holiday

07/09/26 - 

08/09/26 and 10/09/26: Lab/Tutorial 6 — Continuous Densities, Uniform and  Normal Distributions (based on topics covered till Lecture 13)

09/09/26 - 

10/09/26 - Quiz 1

11/09/26 - 

14/09/26 - Holiday

15/09/26 and 17/09/26: Lab/Tutorial 7 — Standard Normal and Gamma Distributions (based on topics covered till Lecture 15)

16/09/26 - 

18/09/26 - 

21/09/26 - 

22/09/26 and 24/09/26: Lab/Tutorial 8 — Exponential and Chi-squared Distributions (based on topics covered till Lecture 18)

23/09/26 - 

25/09/26 - 

28/09/26 - 

29/09/26 and 01/10/26: Lab/Tutorial 9 — Chebyshev's Inequality, Simulation (based on topics covered till Lecture 21)

30/09/26 -

02/10/26 - Holiday

05/10/26 - 10/10/26: Midsemester Exams — Classwork suspended 

10/10/26 - Midsemester Exam

12/10/26 - 

13/10/26 and 15/10/26: Lab/Tutorial 10 — Joint Densities and Independence, etc. (based on topics covered till Lecture 23)

14/10/26 - 

16/10/26 - 

19/10/26 - 

20/10/26 - Holiday (No Tutorial/Lab)

21/10/26 - 

22/10/26 - Lab/Tutorial — 

23/10/26 - 

26/10/26 - 

27/10/26 and 29/10/26: Lab/Tutorial 11 — Central Limit Theorem, Point estimation, etc. (based on topics covered till Lecture 29)

28/10/26 - 

30/10/26 - 

02/11/26 - 

03/11/26 and 05/11/26: Lab/Tutorial 12 — Interval estimation (based on topics covered till Lecture 32)

04/11/26 - 

06/11/26 - 

09/11/26 - Holiday

10/11/26 and 12/11/26: Lab/Tutorial 13 — Hypothesis Testing on mean, etc. (based on topics covered till Lecture 34)

11/11/26 - 

13/11/26 - 

16/11/26 - 

17/11/26 and 19/11/26: Lab/Tutorial 14 — Confidence Interval and Hypothesis Testing on two samples (based on topics covered till Lecture 37)

18/11/26 - 

20/11/26 - 

21/11/26 - Quiz 2

23/11/26 - 

24/10/26 - Holiday (No Tutorial/Lab)

25/11/26 - 

26/10/26 - Lab/Tutorial 15 — Regression  

27/11/26 - 

11/12/26 - Comprehensive Exam