# Probability - II 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/111106163)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/111106163)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Continuous Random Variables - Part 01](https://invisiblenetwork.ai/learn/nptel/111106163/08b2b976d5f5) (Video)
2. [Continuous Random Variables - Part 02](https://invisiblenetwork.ai/learn/nptel/111106163/b11fd0df22be) (Video)
3. [R Set Up](https://invisiblenetwork.ai/learn/nptel/111106163/de3d1cc87cb4) (Video)
4. [Exponential and Normal Random Variable](https://invisiblenetwork.ai/learn/nptel/111106163/d3ad568e6362) (Video)
5. [Normal Random Variable](https://invisiblenetwork.ai/learn/nptel/111106163/80e59509c283) (Video)
6. [Distribution Function](https://invisiblenetwork.ai/learn/nptel/111106163/16d10bcb7cdc) (Video)
7. [Normal Distribution](https://invisiblenetwork.ai/learn/nptel/111106163/4326f7f83dfd) (Video)
8. [Problem Solving for Week 12_Part 02](https://invisiblenetwork.ai/learn/nptel/111106163/88cd1159e6f5) (Video)
9. [mod08lec33 - Joint Distribution of Continuous Random Variables](https://invisiblenetwork.ai/learn/nptel/111106163/84a69a38d304) (Video)
10. [mod09lec34 - Marginal Density and Independence](https://invisiblenetwork.ai/learn/nptel/111106163/4abd309df8b5) (Video)
11. [Uniform Distribution in R2](https://invisiblenetwork.ai/learn/nptel/111106163/46ca0b865c4f) (Video)
12. [Problem Solving](https://invisiblenetwork.ai/learn/nptel/111106163/d5e252712f6c) (Video)
13. [Bivariate Normal - Part 01](https://invisiblenetwork.ai/learn/nptel/111106163/aefde06faa76) (Video)
14. [Problem Solving 1: Calculating Probabilities](https://invisiblenetwork.ai/learn/nptel/111106163/19dcca8180a6) (Video)
15. [Problem Solving 2: Quadratic Equation, Random Coefficients](https://invisiblenetwork.ai/learn/nptel/111106163/2937f4bb8a7a) (Video)
16. [mod09lec35 - Conditional Density](https://invisiblenetwork.ai/learn/nptel/111106163/eb6ec0ac6008) (Video)
17. [mod10lec36 - Sums of Independent Random Variables](https://invisiblenetwork.ai/learn/nptel/111106163/f2669d0a75a8) (Video)
18. [mod10lec37 - Quotient of Independent Random Variables](https://invisiblenetwork.ai/learn/nptel/111106163/6c1b2c29204d) (Video)
19. [Simulating Bivariate Normal Random Variables](https://invisiblenetwork.ai/learn/nptel/111106163/4f3053c72f32) (Video)
20. [Problem Solving Conditional Density](https://invisiblenetwork.ai/learn/nptel/111106163/bebc8a18e6ae) (Video)
21. [mod10lec38 - Expectation and Variance of Continuous Random Variables](https://invisiblenetwork.ai/learn/nptel/111106163/7ac1dc9d58fd) (Video)
22. [mod11lec41 - Revisit of Variance and Expectation](https://invisiblenetwork.ai/learn/nptel/111106163/0e27b882986d) (Video)
23. [Covariance and Correlation](https://invisiblenetwork.ai/learn/nptel/111106163/282464a01498) (Video)
24. [Conditional Expectation and Conditional Variance](https://invisiblenetwork.ai/learn/nptel/111106163/1e1e3c404c86) (Video)
25. [Analysis of Variance Formula](https://invisiblenetwork.ai/learn/nptel/111106163/1fad399e829f) (Video)
26. [Moment Generating Function](https://invisiblenetwork.ai/learn/nptel/111106163/8691a412e62b) (Video)
27. [Moments and Moment Generating Function](https://invisiblenetwork.ai/learn/nptel/111106163/b0060a625682) (Video)
28. [Bivariate Normal Part 02](https://invisiblenetwork.ai/learn/nptel/111106163/c119a830fd91) (Video)
29. [mod11lec39 - Sampling Distribution and Sample Mean](https://invisiblenetwork.ai/learn/nptel/111106163/f3e0359b1807) (Video)
30. [mod11lec40 - Weak Law of Large Numbers](https://invisiblenetwork.ai/learn/nptel/111106163/24e0dcc781a2) (Video)
31. [mod11lec43 - Revisit Weak Law of Large Numbers](https://invisiblenetwork.ai/learn/nptel/111106163/91f02a9eca54) (Video)
32. [mod12lec44 - Demoivre-Laplace Central Limit Theorem and Normal Random Variables](https://invisiblenetwork.ai/learn/nptel/111106163/68cc611123d7) (Video)
33. [mod12lec45 - Revisit Normal Random Variables](https://invisiblenetwork.ai/learn/nptel/111106163/0329f87be6b7) (Video)
34. [mod12lec46 - Normal Tables, Mean and Variance](https://invisiblenetwork.ai/learn/nptel/111106163/b8fc492da167) (Video)
35. [Central Limit Theorem](https://invisiblenetwork.ai/learn/nptel/111106163/67d2925691a4) (Video)
36. [Bivariate Normal Random Variables_Characterisation](https://invisiblenetwork.ai/learn/nptel/111106163/3a06785bae90) (Video)
37. [Bivariate Normal Random Variables Joint Density Calculation_Part 01](https://invisiblenetwork.ai/learn/nptel/111106163/5ef119e4706d) (Video)