6.041SC | Fall 2013 | Undergraduate
Probabilistic Systems Analysis and Applied Probability

## Resource Index

This resource index gives users access to most of the course resources in a single location.

### Quiz I

QUIZ SCOPE PREPARATION MATERIALS QUIZ AND SOLUTIONS

Quiz 1 covers

• Lectures 1 through 7
• Textbook Chapters 1 and 2
• Recitations 1 through 7
• Tutorials 1 through 3
• Problem Sets 1 through 4

Quiz 1 Slides (PDF)

Quiz 1 (PDF)

Quiz 1 Solutions (PDF)

### Quiz 2

QUIZ SCOPE PREPARATION MATERIALS QUIZ AND SOLUTIONS

Quiz 2 covers

• Lectures 1 through 12
• Textbook Chapters 1 and 4
• Recitations 1 through 13
• Tutorials 1 through 6
• Problem Sets 1 through 6

Quiz 2 Slides (PDF)

Quiz 2 (PDF)

Quiz 2 Solutions (PDF)

### Unit III: Random Processes

TITLEs LECTURE VIDEOs SLIDES TEXTBOOK READINGS RECITATIONS TUTORIALS HELP VIDEOS PROBLEM SETS
Bernoulli Process Lecture 13: Bernoulli Process Lecture 13: Bernoulli Process Slides (PDF) Section 6.1

Recitation 14 Problems (PDF)

Recitation 14 Solutions (PDF)

Tutorial 7 Problems (PDF)

Tutorial 7 Solutions (PDF)

Bernoulli Process Practice None
Poisson Process - I Lecture 14: Poisson Process - I Lecture 14: Poisson Process - I Slides (PDF) Section 6.2

Recitation 15 Problems (PDF)

Recitation 15 Solutions (PDF)

Tutorial 7 Problems (PDF)

Tutorial 7 Solutions (PDF)

Competing Exponentials None
Poisson Process - II Lecture 15: Poisson Process - II Lecture 15: Poisson Process - II Slides (PDF) Section 6.2

Recitation 17 Problems (PDF)

Recitation 17 Solutions (PDF)

Tutorial 8 Problems (PDF)

Tutorial 8 Solutions (PDF)

Random Incidence Under Erlang Arrivals

Problem Set 7 (PDF)

Problem Set 7 Solutions (PDF)

Markov Chains - I Lecture 16: Markov Chains - I Lecture 16: Markov Chains - I Slides (PDF) Sections 7.1–7.2

Recitation 18 Problems (PDF)

Recitation 18 Solutions (PDF)

Tutorial 9 Problems (PDF)

Tutorial 9 Solutions (PDF)

Setting Up a Markov Chain

Markov Chain Practice 1

None
Markov Chains - II Lecture 17: Markov Chains - II Lecture 17: Markov Chains - II Slides (PDF) Section 7.3 None

Tutorial 9 Problems (PDF)

Tutorial 9 Solutions (PDF)

None

Problem Set 8 (PDF)

Problem Set 8 Solutions (PDF)

Markov Chains - III Lecture 18: Markov Chains - III Lecture 18: Markov Chains - III Slides (PDF) Section 7.4

Recitation 19 Problems (PDF)

Recitation 19 Solutions (PDF)

Tutorial 10 Problems (PDF)

Tutorial 10 Solutions (PDF)

Mean First Passage and Recurrence Times None

### Unit IV: Laws Of Large Numbers And Inference

TITLEs LECTURE VIDEOs SLIDES TEXTBOOK READINGS RECITATIONS TUTORIALS HELP VIDEOS PROBLEM SETS
Weak Law of Large Numbers Lecture 19: Weak Law of Large Numbers Lecture 19: Weak Law of Large Numbers Slides (PDF) Sections 5.1–5.3

Recitation 20 Problems (PDF)

Recitation 20 Solutions (PDF)

Tutorial 10 Problems (PDF)

Tutorial 10 Solutions (PDF)

Convergence in Probability and in the Mean Part 1

Convergence in Probability and in the Mean Part 2

Convergence in Probability Example

Problem Set 9 (PDF)

Problem Set 9 Solutions (PDF)

Central Limit Theorem Lecture 20: Central Limit Theorem Lecture 20: Central Limit Theorem Slides (PDF) Section 6.2

Recitation 21 Problems (PDF)

Recitation 21 Solutions (PDF)

None

Probabilty Bounds

Using the Central Limit Theorem

None
Bayesian Statistical Inference - I Lecture 21: Bayesian Statistical Inference - I Lecture 21: Bayesian Statistical Inference - I Slides (PDF)   None None None None
Bayesian Statistical Inference - II Lecture 22: Bayesian Statistical Inference - II Lecture 22: Bayesian Statistical Inference - II Slides (PDF) Sections 8.3–8.4

Recitation 22 Problems (PDF)

Recitation 22 Solutions (PDF)

Tutorial 11 Problems (PDF)

Tutorial 11 Solutions (PDF)

Inferring a Parameter of Uniform Part 1

Inferring a Parameter of Uniform Part 2

An Inference Example

Problem Set 10 (PDF)

Problem Set 10 Solutions (PDF)

Classical Statistical Inference - I Lecture 23 Classical Statistical Inference - I Lecture 23: Classical Statistical Inference - I Slides (PDF) Section 7.3

Recitation 23 Problems (PDF)

Recitation 23 Solutions (PDF)

Recitation 24 Problems (PDF)

Recitation 24 Solutions (PDF)

Tutorial 11 Problems (PDF)

Tutorial 11 Solutions (PDF)

None None
Classical Inference - II Lecture 24: Classical Inference - II Lecture 24: Classical Inference - II Slides (PDF) Sections 9.2–9.3

Recitation 24 Problems (PDF)

Recitation 24 Solutions (PDF)

None None None
Classical Inference - III Lecture 25: Classical Inference - III Course Review Lecture 25: Classical Inference - III Slides (PDF) Section 9.4 None None None

Problem Set 11 (PDF)

Problem Set 11 Solutions (PDF)

### Final Exam

FINAL EXAM SCOPE PREPARATION MATERIALS QUIZ AND SOLUTIONS
The Final Exam covers the entire course, however the emphasis is on the material not covered in Quiz 1 and Quiz 2.

Final Exam (PDF)

Final Exam Solutions (PDF)