Department of Mathematics, Thapar Institute of Engineering & Technology, Patiala
Spring 2025
The mathematical sciences particularly exhibit order, symmetry, and limitation; and these are the greatest forms of the beautiful.~Aristotle.
Probability and Statistics (UMA401) is a one-semester, upper-level course that provides a comprehensive introduction to the fundamental principles of probability and statistical inference. The course covers key concepts such as probability theory, random variables, probability distributions, expectation, sampling distributions, estimation, and hypothesis testing. Emphasis is also placed on applying these concepts to analyze real-world data and solve practical problems. Students will gain hands-on experience by implementing statistical algorithms using R programming. The course carries 4.0 credit hours, comprising three lectures and one lab session per week. By the end of the course, students will be knowledgeable with both a theoretical foundation and practical skills in probability and statistics. For more information, please refer to the Course Policies.
C 11-18: Monday at 11:20, Wednesday at 10:30, Friday at 09:40 in class room LT 102. LAB : Q11, Monday at 01:50 in NA Lab I and C55, Tuesday at 03:30 in FIST Lab.
Lecture Notes in PDF : ch1 ch2 ch3 ch4 ch5 ch6 ch7 ch8 ch9
Class Notes: C_ch1 C_ch2 C_ch3 C_ch4 C_ch5 C_ch6 C_ch7 C_ch8 C_ch9
Solutions: ch1_sol ch2_sol ch3_sol ch4_sol ch5_sol ch6_sol ch7_sol ch8_sol ch9_sol
Mid Term Examination (30%), End-Term Examination (40%), Lab R programming (30%)
(June 10, 2025) The answer sheets for the End-Term Examination will be showcased on June 12, 2025, starting at 11:00 AM in Room G 254A.
Each group will have a 10-minute slot. The schedule is as follows:
11:00 – 11:10: Group C11
11:10 – 11:20: Group C12
and so on.
(March 24, 2025) The showcase of answer sheets of Mid-Term Examination will be on March 26, 2025 (C 11 to C14) and March 27, 2025 (C 15 to 18) at 5:00 PM in TAN 102. Please see the detailed SOLUTION uploaded. Each group will be given 15 minutes (e.g. 5 to 5:15 C11, 5:15 to 5:30 C12 and so on).
(January 07, 2025) Students are advised to attend each lecture and lab.
(January 07, 2025) Students are advised to study regularly and expected to solve the the assignments given at the end of the lecture notes.
(September 26, 2024) Previous years question papers: MST_2023 EST_2023
Extra lecture, if required, will be announced later.
An Advise to develop good study habits can be found here.
You should check this page daily and begin working the assignments immediately after they are posted.
You are expected to do all assigned problems. You may need to do additional problems for practice.
You are expected to read the textbook as we cover the material.
Students can meet me in my office in G 254. Please make appointments at singh.pparam@gmail.com and see my schedule on the URL of another course which I am teaching in the current semester.