Probabilistic Systems Analysis and Applied Probability (2013)

Probabilistic Systems Analysis and Applied Probability (2013)

76 episodes

This is a collection of 76 videos for MIT 6.041- 25 lectures videos (2010) and 51 recitation videos (2013). In the recitation videos MIT Teaching Assistants solve selected recitation and tutorial problems from the course. View the complete course: http://ocw.mit.edu/6-041SCF13 Instructors: Qing He, Jimmy Li, Jagdish Ramakrishnan, Katie Szeto, and Kuang Xu License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

Podcasts

Probability that Three Pieces Form a Triangle

Published: July 8, 2015, 4:22 p.m.
Duration: 12 minutes 30 seconds

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Lecture 23: Classical Statistical Inference I

Published: July 8, 2015, 3:44 p.m.
Duration: 49 minutes 31 seconds

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Lecture 24: Classical Inference II

Published: July 8, 2015, 3:44 p.m.
Duration: 51 minutes 49 seconds

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Lecture 20: Central Limit Theorem

Published: July 8, 2015, 3:43 p.m.
Duration: 51 minutes 22 seconds

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Lecture 21: Bayesian Statistical Inference I

Published: July 8, 2015, 3:43 p.m.
Duration: 48 minutes 49 seconds

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Lecture 22: Bayesian Statistical Inference II

Published: July 8, 2015, 3:43 p.m.
Duration: 52 minutes 15 seconds

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Lecture 25: Classical Inference III

Published: July 8, 2015, 3:43 p.m.
Duration: 52 minutes 6 seconds

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Lecture 18: Markov Chains III

Published: July 8, 2015, 3:42 p.m.
Duration: 51 minutes 49 seconds

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Lecture 19: Weak Law of Large Numbers

Published: July 8, 2015, 3:42 p.m.
Duration: 50 minutes 12 seconds

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Lecture 13: Bernoulli Process

Published: July 8, 2015, 3:41 p.m.
Duration: 50 minutes 57 seconds

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Lecture 14: Poisson Process I

Published: July 8, 2015, 3:41 p.m.
Duration: 52 minutes 43 seconds

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Lecture 15: Poisson Process II

Published: July 8, 2015, 3:41 p.m.
Duration: 49 minutes 28 seconds

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Lecture 16: Markov Chains I

Published: July 8, 2015, 3:41 p.m.
Duration: 52 minutes 5 seconds

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Lecture 17: Markov Chains II

Published: July 8, 2015, 3:41 p.m.
Duration: 51 minutes 25 seconds

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Lecture 9: Multiple Continuous Random Variables

Published: July 8, 2015, 3:39 p.m.
Duration: 50 minutes 50 seconds

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Lecture 7: Discrete Random Variables III

Published: July 8, 2015, 3:38 p.m.
Duration: 50 minutes 41 seconds

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Lecture 10: Continuous Bayes' Rule; Derived Distributions

Published: July 8, 2015, 3:38 p.m.
Duration: 48 minutes 52 seconds

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Lecture 11: Derived Distributions (ctd

Published: July 8, 2015, 3:38 p.m.
Duration: 51 minutes 54 seconds

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Lecture 12: Iterated Expectations

Published: July 8, 2015, 3:38 p.m.
Duration: 47 minutes 53 seconds

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Lecture 8: Continuous Random Variables

Published: July 8, 2015, 3:36 p.m.
Duration: 50 minutes 29 seconds

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Lecture 2: Conditioning and Bayes' Rule

Published: July 8, 2015, 3:02 p.m.
Duration: 51 minutes 11 seconds

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Lecture 3: Independence

Published: July 8, 2015, 3:02 p.m.
Duration: 46 minutes 29 seconds

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Lecture 4: Counting

Published: July 8, 2015, 3:02 p.m.
Duration: 51 minutes 34 seconds

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Lecture 5: Discrete Random Variables I

Published: July 8, 2015, 3:02 p.m.
Duration: 50 minutes 34 seconds

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Lecture 6: Discrete Random Variables II

Published: July 8, 2015, 3:02 p.m.
Duration: 50 minutes 53 seconds

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Lecture 1: Probability Models and Axioms

Published: July 8, 2015, 3 p.m.
Duration: 51 minutes 11 seconds

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Rooks on a Chessboard

Published: July 8, 2015, 1:28 p.m.
Duration: 18 minutes 27 seconds

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Uniform Probabilities on a Triangle

Published: July 7, 2015, 7:20 p.m.
Duration: 22 minutes 57 seconds

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The Probability Distribution Function (PDF) of [X]

Published: July 7, 2015, 7:19 p.m.
Duration: 9 minutes 5 seconds

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The Variance in the Stick Breaking Problem

Published: July 7, 2015, 7:19 p.m.
Duration: 11 minutes 30 seconds

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Widgets and Crates

Published: July 7, 2015, 7:19 p.m.
Duration: 10 minutes 6 seconds

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Using the Central Limit Theorem

Published: July 7, 2015, 7:19 p.m.
Duration: 11 minutes 24 seconds

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Uniform Probabilities on a Square

Published: July 7, 2015, 7:18 p.m.
Duration: 9 minutes 16 seconds

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The Sum of Discrete and Continuous Random Variables

Published: July 7, 2015, 7:18 p.m.
Duration: 5 minutes 37 seconds

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Sampling People on Buses

Published: July 7, 2015, 7:17 p.m.
Duration: 11 minutes 55 seconds

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The Absent Minded Professor

Published: July 7, 2015, 7:17 p.m.
Duration: 13 minutes 9 seconds

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The Difference of Two Independent Exponential Random Variables

Published: July 7, 2015, 7:17 p.m.
Duration: 6 minutes 12 seconds

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Setting Up a Markov Chain

Published: July 7, 2015, 7:17 p.m.
Duration: 10 minutes 35 seconds

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PMF of a Function of a Random Variable

Published: July 7, 2015, 7:15 p.m.
Duration: 15 minutes 26 seconds

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A Random Number of Coin Flips

Published: July 7, 2015, 7:15 p.m.
Duration: 17 minutes 18 seconds

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Random Incidence Under Erlang Arrivals

Published: July 7, 2015, 7:14 p.m.
Duration: 9 minutes 43 seconds

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Communication over a Noisy Channel

Published: July 7, 2015, 7:11 p.m.
Duration: 19 minutes 53 seconds

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Normal Probability Calculation

Published: July 7, 2015, 7:10 p.m.
Duration: 5 minutes 24 seconds

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Mean First Passage and Recurrence Times

Published: July 7, 2015, 7:10 p.m.
Duration: 9 minutes 27 seconds

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Convergence in Probability and in the Mean Part 1

Published: July 7, 2015, 7:10 p.m.
Duration: 13 minutes 36 seconds

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Convergence in Probability and in the Mean Part 2

Published: July 7, 2015, 7:10 p.m.
Duration: 5 minutes 45 seconds

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The Monty Hall Problem

Published: July 7, 2015, 7:08 p.m.
Duration: 15 minutes 59 seconds

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Network Reliability

Published: July 7, 2015, 7:08 p.m.
Duration: 7 minutes 25 seconds

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Flipping a Coin a Random Number of Times

Published: July 7, 2015, 7:08 p.m.
Duration: 8 minutes 43 seconds

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A Mixed Distribution Example

Published: July 7, 2015, 7:08 p.m.
Duration: 13 minutes 24 seconds

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Ambulance Travel Time

Published: July 7, 2015, 7:08 p.m.
Duration: 6 minutes 47 seconds

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Joint Probability Mass Function (PMF) Drill 1

Published: July 7, 2015, 7:06 p.m.
Duration: 17 minutes 37 seconds

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Joint Probability Mass Function (PMF) Drill 2

Published: July 7, 2015, 7:06 p.m.
Duration: 13 minutes 45 seconds

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Mean & Variance of the Exponential

Published: July 7, 2015, 7:05 p.m.
Duration: 15 minutes 11 seconds

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Using the Conditional Expectation and Variance

Published: July 7, 2015, 7:05 p.m.
Duration: 10 minutes 10 seconds

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Markov Chain Practice 1

Published: July 7, 2015, 7:05 p.m.
Duration: 11 minutes 42 seconds

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Inferring a Parameter of Uniform Part 2

Published: July 7, 2015, 7:02 p.m.
Duration: 19 minutes 36 seconds

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Geniuses and Chocolates

Published: July 7, 2015, 7:02 p.m.
Duration: 8 minutes 42 seconds

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Inferring a Discrete Random Variable from a Continuous Measurement

Published: July 7, 2015, 7:02 p.m.
Duration: 18 minutes 36 seconds

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Inferring a Continuous Random Variable from a Discrete Measurement

Published: July 7, 2015, 7:02 p.m.
Duration: 11 minutes 35 seconds

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Inferring a Parameter of Uniform Part 1

Published: July 7, 2015, 7:01 p.m.
Duration: 24 minutes 51 seconds

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Hypergeometric Probabilities

Published: July 7, 2015, 6:56 p.m.
Duration: 5 minutes 48 seconds

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Convergence in Probability Example

Published: July 7, 2015, 6:53 p.m.
Duration: 7 minutes 36 seconds

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Probabilty Bounds

Published: July 7, 2015, 6:53 p.m.
Duration: 10 minutes 45 seconds

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The Probability of the Difference of Two Events

Published: July 7, 2015, 6:14 p.m.
Duration: 5 minutes 55 seconds

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Conditional Probability Example

Published: July 7, 2015, 6:14 p.m.
Duration: 14 minutes 22 seconds

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A Derived Distribution Example

Published: July 7, 2015, 6:14 p.m.
Duration: 9 minutes 30 seconds

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Competing Exponentials

Published: July 7, 2015, 6:14 p.m.
Duration: 7 minutes 42 seconds

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A Coin Tossing Puzzle

Published: July 7, 2015, 5:59 p.m.
Duration: 8 minutes 10 seconds

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A Random Walker

Published: July 7, 2015, 5:59 p.m.
Duration: 5 minutes 51 seconds

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The Coupon Collector Problem

Published: July 7, 2015, 5:59 p.m.
Duration: 7 minutes 15 seconds

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Calculating a Cumulative Distribution Function (CDF)

Published: July 7, 2015, 5:58 p.m.
Duration: 8 minutes 44 seconds

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An Inference Example

Published: July 7, 2015, 5:33 p.m.
Duration: 27 minutes 51 seconds

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A Chess Tournament Problem

Published: July 7, 2015, 5:32 p.m.
Duration: 18 minutes 34 seconds

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Bernoulli Process Practice

Published: July 7, 2015, 5:32 p.m.
Duration: 8 minutes 24 seconds

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A Coin with Random Bias

Published: July 7, 2015, 5:31 p.m.
Duration: 22 minutes 58 seconds

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