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Course11110615050 lectures

Probability -I with Examples Using R

Prof. Siva Athreya · ISI Bangalore

Start with lecture 1 At NPTEL

Lectures

How does an NPTEL online course work?

  1. Sample Space, Events and Probability Video
  2. Properties of Probability Video
  3. R Set Up Video

Week 2

  1. Equally likely Outcomes Video
  2. Conditional Probability Video
  3. Bayes Theorem Video
  4. Bayes Theorem: Example Video
  5. Conditional Probability - II Video

Week 3

  1. Independence - Part 01 Video
  2. Independence - Part 02 Video
  3. Sampling and Repeated Trials Video
  4. Birthday Problem Video

Week 4

  1. Sampling and Repeated Trials - Part 01 Video
  2. Sampling and Repeated Trials - Part 02 Video
  3. Gambler's Ruin Video

Week 5

  1. Review of Week 1-4 Video
  2. Sampling with and Without Replacement Video
  3. Sampling without Replacement Video
  4. Hypergeometric Distribution and Discrete Random Variables Video
  5. Problem Solving for Week 5 Video

Week 6

  1. Discrete Random Variables - Part 01 Video
  2. Discrete Random Variables - Part 02 Video

Week 7

  1. Conditional, Joint and Marginal Distributions Video
  2. Memoryless property of Geometric Distribution Video

Week 8

  1. Expectation of Random Variables Video
  2. Properties of Expectation Video
  3. Variance of Discrete Random Variables Video

Week 9

  1. Expectation: Independence and Functions Video
  2. Markov and Chebyshev Inequalities Video
  3. Conditional Expectation and Covariance Video
  4. Problem Solving Video

Week 10

  1. Functions of Random Variables Video
  2. Sums of Independent Random Variables Video
  3. Functions and Independence Video
  4. Problem Solving for Week 10 Video

Week 11

  1. Continuous Random Variables - Part 01 Video
  2. Continuous Random Variables - Part 02 Video
  3. Distribution Function Video
  4. Exponential and Normal Random Variable Video

Week 12

  1. Normal Random Variable Video
  2. Convergence of Binomial to Normal - Part 01 Video
  3. Convergence of Binomial to Normal - Part 02 Video
  4. Normal Distribution Video
  5. Problem Solving for Week 12_Part 01 Video
  6. Problem Solving for Week 12_Part 02 Video

Live Session

  1. Live Session 02-02-2021 Video
  2. Live Session 09-02-2021 Video
  3. Live Session 16-02-2021 Video
  4. Live Session 02-03-2021 Video
  5. Live Session 23-03-2021 Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
ISI Bangalore
Department
Mathematics
Teacher
Prof. Siva Athreya
Level
Undergraduate
Language
English
Subjects
Mathematics
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge. Coordinated by IIT Madras.
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