# Probability -I with Examples Using R

- Institution: ISI Bangalore
- Department: Mathematics
- Teacher: Prof. Siva Athreya
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/111106150)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/111106150)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Sample Space, Events and Probability](https://invisiblenetwork.ai/learn/nptel/111106150/b9ef948df428) (Video)
2. [Properties of Probability](https://invisiblenetwork.ai/learn/nptel/111106150/be328ca87fbd) (Video)
3. [R Set Up](https://invisiblenetwork.ai/learn/nptel/111106150/7e83a772326b) (Video)
4. [Equally likely Outcomes](https://invisiblenetwork.ai/learn/nptel/111106150/ca085acf92bd) (Video)
5. [Conditional Probability](https://invisiblenetwork.ai/learn/nptel/111106150/8a4feea3d805) (Video)
6. [Bayes Theorem](https://invisiblenetwork.ai/learn/nptel/111106150/b0e609937a39) (Video)
7. [Bayes Theorem: Example](https://invisiblenetwork.ai/learn/nptel/111106150/ec73f09d6556) (Video)
8. [Conditional Probability - II](https://invisiblenetwork.ai/learn/nptel/111106150/fa3a11cf0bdd) (Video)
9. [Independence - Part 01](https://invisiblenetwork.ai/learn/nptel/111106150/6aa8af7ca3d3) (Video)
10. [Independence - Part 02](https://invisiblenetwork.ai/learn/nptel/111106150/ae176371f4f8) (Video)
11. [Sampling and Repeated Trials](https://invisiblenetwork.ai/learn/nptel/111106150/5ff0e3969fe9) (Video)
12. [Birthday Problem](https://invisiblenetwork.ai/learn/nptel/111106150/3b98b60e2e41) (Video)
13. [Sampling and Repeated Trials - Part 01](https://invisiblenetwork.ai/learn/nptel/111106150/76108e734a36) (Video)
14. [Sampling and Repeated Trials - Part 02](https://invisiblenetwork.ai/learn/nptel/111106150/94a522254d33) (Video)
15. [Gambler's Ruin](https://invisiblenetwork.ai/learn/nptel/111106150/cc89f8dbbb84) (Video)
16. [Review of Week 1-4](https://invisiblenetwork.ai/learn/nptel/111106150/99ed220ffe90) (Video)
17. [Sampling with and Without Replacement](https://invisiblenetwork.ai/learn/nptel/111106150/a68813443958) (Video)
18. [Sampling without Replacement](https://invisiblenetwork.ai/learn/nptel/111106150/382f8282233c) (Video)
19. [Hypergeometric Distribution and Discrete Random Variables](https://invisiblenetwork.ai/learn/nptel/111106150/055057814656) (Video)
20. [Problem Solving for Week 5](https://invisiblenetwork.ai/learn/nptel/111106150/34464fdebfd8) (Video)
21. [Discrete Random Variables - Part 01](https://invisiblenetwork.ai/learn/nptel/111106150/db979638a2c7) (Video)
22. [Discrete Random Variables - Part 02](https://invisiblenetwork.ai/learn/nptel/111106150/e168718cf2a5) (Video)
23. [Conditional, Joint and Marginal Distributions](https://invisiblenetwork.ai/learn/nptel/111106150/5f09e934b504) (Video)
24. [Memoryless property of Geometric Distribution](https://invisiblenetwork.ai/learn/nptel/111106150/90656495a1a1) (Video)
25. [Expectation of Random Variables](https://invisiblenetwork.ai/learn/nptel/111106150/52404a8a007b) (Video)
26. [Properties of Expectation](https://invisiblenetwork.ai/learn/nptel/111106150/66e57f741dfd) (Video)
27. [Variance of Discrete Random Variables](https://invisiblenetwork.ai/learn/nptel/111106150/c55ae8cf5495) (Video)
28. [Expectation: Independence and Functions](https://invisiblenetwork.ai/learn/nptel/111106150/99c56c6c3f60) (Video)
29. [Markov and Chebyshev Inequalities](https://invisiblenetwork.ai/learn/nptel/111106150/eb2e545f8e20) (Video)
30. [Conditional Expectation and Covariance](https://invisiblenetwork.ai/learn/nptel/111106150/d89dc520269c) (Video)
31. [Problem Solving](https://invisiblenetwork.ai/learn/nptel/111106150/f84e18d74532) (Video)
32. [Functions of Random Variables](https://invisiblenetwork.ai/learn/nptel/111106150/a2becc1b3818) (Video)
33. [Sums of Independent Random Variables](https://invisiblenetwork.ai/learn/nptel/111106150/8a286318aa52) (Video)
34. [Functions and Independence](https://invisiblenetwork.ai/learn/nptel/111106150/794a4990f63f) (Video)
35. [Problem Solving for Week 10](https://invisiblenetwork.ai/learn/nptel/111106150/f92f3e4eef9c) (Video)
36. [Continuous Random Variables - Part 01](https://invisiblenetwork.ai/learn/nptel/111106150/05a2bc33c0d9) (Video)
37. [Continuous Random Variables - Part 02](https://invisiblenetwork.ai/learn/nptel/111106150/b36e3cea08a1) (Video)
38. [Distribution Function](https://invisiblenetwork.ai/learn/nptel/111106150/43b71c437f2a) (Video)
39. [Exponential and Normal Random Variable](https://invisiblenetwork.ai/learn/nptel/111106150/90b927847043) (Video)
40. [Normal Random Variable](https://invisiblenetwork.ai/learn/nptel/111106150/b7c65033fc20) (Video)
41. [Convergence of Binomial to Normal - Part 01](https://invisiblenetwork.ai/learn/nptel/111106150/d6f218ccfee6) (Video)
42. [Convergence of Binomial to Normal - Part 02](https://invisiblenetwork.ai/learn/nptel/111106150/241b248d216a) (Video)
43. [Normal Distribution](https://invisiblenetwork.ai/learn/nptel/111106150/b461ba0de4b0) (Video)
44. [Problem Solving for Week 12_Part 01](https://invisiblenetwork.ai/learn/nptel/111106150/01604bb34337) (Video)
45. [Problem Solving for Week 12_Part 02](https://invisiblenetwork.ai/learn/nptel/111106150/2fffc51f8870) (Video)
46. [Live Session 02-02-2021](https://invisiblenetwork.ai/learn/nptel/111106150/b9ef948df428-2) (Video)
47. [Live Session 09-02-2021](https://invisiblenetwork.ai/learn/nptel/111106150/be328ca87fbd-2) (Video)
48. [Live Session 16-02-2021](https://invisiblenetwork.ai/learn/nptel/111106150/7e83a772326b-2) (Video)
49. [Live Session 02-03-2021](https://invisiblenetwork.ai/learn/nptel/111106150/ca085acf92bd-2) (Video)
50. [Live Session 23-03-2021](https://invisiblenetwork.ai/learn/nptel/111106150/8a4feea3d805-2) (Video)