Probability and Statistics

Syllabus for the course UMA401

Book to be followed: Probability and Statistics for Engineers and Scientists by R.E. Walpole et. al., 9th Edition

Lab Material:

1. How to download and install R and RStudio?

2. Basics of R language.

3. Experiment 1 pdf sheet.

4. Experiment 2 pdf sheet.

5. Experiment 3 pdf sheet.

6. Experiment 4 pdf sheet.

7. Experiment 5 pdf sheet.

8. Experiment 6 pdf sheet

9. Experiment 7 pdf sheet

10. Expertiment 8 pdf sheet (Data sheet)

11. Expertiment 8 pdf sheet updated (Data sheet)

12. Experiment 8 pdf sheet Latest

Practice sheets:

1. Sheet 1

2. Sheet 2

3. Sheet 3

4. Sheet 4

Video Lectures (Please click on this link for video lectures)

Lecture Notes:

• Chapter_1 Notes (Covered in lecture 1 and 2)

• Lecture 3 

• Lecture 4

• Lecture 5

• Lecture 6

• Lecture 7

• Lecture 8

• Lecture 9

• Lecture 10

• Lecture 11

• Lecture 12

• Lecture 13

• Lecture 14

• Lecture 15

• Lecture 16

• Proof of Chebyshev Theorem

• Lecture 17

• Lecture 18

• Lecture 19

• Lecture 20

• Lecture 21

• Multinomial distribution (Not a part of syllabus for EST 2025)

• Mean and Variance of Poisson Distribution

• Mean and variance of Normal Distribution

• Mean and Variance of Gamma Distribution

• Some more Continuous Distribution

• Some Practice Problems

• Regression Line

• Lecture 22

• Lecture 23

• Lecture 24

• Lecture 25

• Lecture 26

• Lecture 27

• Lecture 28

• Lecture 29

• Lecture 30

• Lecture 31

• Lecture 32

• Lecture 33

• Lecture 34

• Lecture 35

• Lecture 36

• Lecture 37

• Lecture 38

• Lecture 39

Updated Notes for Chapter 8, 9 and 10

Chapter8_1

Chapter8_2

Chapter8_3

Chapter8_4

Chapter8_5

Chapter8_6

Chapter8_7

Chapter8_8

Chapter8_9

Chapter8_10

Chapter8_11

Chapter9_1

Chapter9_2

Chapter9_3

Chapter9_4

Chapter9_5

Chapter9_6

Chapter9_7

Chapter10_1

Chapter10_2

Chapter 10_3

Method of Moments

Important table

Updated videos for chapter 8, 9 and 10

EST 2023 QUESTION PAPER AND MARKING SCHEME

MST, Even Semester, 2024-25