Introduction to Probability (STA4321/5325)

Syllabus

Tentative Grade Cutoffs

Instructor Office Hours: Monday, Wednesday, Friday 10:30 am -11:30 am, Room 208, Griffin-Floyd Hall

Lecture Notes

Lecture 1 (Monday, January 7): Suggested Reading Chapter 1 and Section 2.1

Lecture 2 (Wednesday, January 9): Suggested Reading Section 2.2 and Section 2.3

Lecture 3 (Friday, January 11): Suggested Reading Section 2.4

Lecture 4 (Monday, January 14): Suggested Reading Section 2.5

Lecture 5 (Wednesday, January 16): Suggested Reading Section 3.1

Lecture 6 (Friday, January 18): Suggested Reading Section 3.2

Lecture 7 (Wednesday, January 23): Suggested Reading Section 3.3

Lecture 8 (Friday, January 25): Suggested Reading Section 4.1

Lecture 9 (Monday, January 28): Suggested Reading Section 4.1

Lecture 10 (Friday, February 1): Suggested Reading Section 4.2

Lecture 11 (Monday, February 4): Suggested Reading Section 4.3

Lecture 12 (Wednesday, February 6): Suggested Reading Section 4.4

Lecture 13 (Friday, February 8): Suggested Reading Section 4.5

Lecture 14 (Monday, February 11): Suggested Reading Section 4.6

Lecture 15 (Wednesday, February 13): Suggested Reading Section 4.7

Lecture 16 (Friday, February 15): Suggested Reading Section 4.8

Lecture 17 (Monday, February 18): Suggested Reading Section 5.1

Lecture 18 (Wednesday, February 20): Suggested Reading Section 5.1

Lecture 19 (Friday, February 22): Suggested Reading Section 5.2

Lecture 20 (Monday, February 25): Suggested Reading Section 5.3

Lecture 21 (Friday, March 1): Suggested Reading Section 5.4

Lecture 22 (Monday, March 11): Suggested Reading Section 5.5

Additional notes for Gamma distribution

Lecture 23 (Wednesday, March 13): Suggested Reading Section 5.6

Lecture 24 (Friday, March 15): Suggested Reading Section 5.7

Lecture 25 (Monday, March 18): Suggested Reading Section 5.10

Lecture 26 (Wednesday, March 20): Suggested Reading Section 5.11

Lecture 27 (Friday, March 22): Suggested Reading Section 6.1

Lecture 28 (Monday, March 25): Suggested Reading Section 6.2

Lecture 29 (Monday, April 1): Suggested Reading Section 6.3

Lecture 30 (Wednesday, April 3): Suggested Reading Section 6.3

Lecture 31 (Friday, April 5): Suggested Reading Section 6.4

Lecture 32 (Monday, April 8): Suggested Reading Section 6.5

Lecture 33 (Wednesday, April 10): Suggested Reading Section 6.6

Lecture 34 (Friday, April 12): Suggested Reading Section 7.2 and 7.3

Lecture 35 (Monday, April 15): Suggested Reading Section 7.4 and 7.5

Lecture 36 (Wedensday, April 17): Suggested Reading Section 7.6

Lecture 37 (Friday, April 19): Suggested Reading Section 8.3

Exams

Exam 1: Scheduled on Wednesday, January 30.

• The duration of the exam is 50 minutes.
• The material for the exam is Lecture 2 to Lecture 7.
• Students are allowed to bring ONE PAGE of notes (the maximum size of the page is same as the A4 size pages used in lecture notes) and a pocket-size calculator (it is not necessary to bring a calculator, it is acceptable to leave your answers as ratios on integers).
• No other material including books, references, lecture notes or text-capable electronic devices is allowed.
• The exam will consist of 4 questions. Out of these, two questions will be from Homeworks 1 to 2 (they may be slightly modified).

Sample Exam

Solutions to sample exam

Exam 2: Scheduled on Wednesday, February 27.

• The duration of the exam is 50 minutes.
• The material for the exam is everything we covered in class from Lecture 8 to Lecture 16.
• Students are allowed to bring ONE SIDE OF A PAGE of notes (the maximum size of the page is same as the A4 size pages used in lecture notes) and a pocket-size calculator (it is not necessary to bring a calculator, it is acceptable to leave your answers as ratios of integers).
• No other material including books, references, lecture notes or text-capable electronic devices is allowed.
• The exam will consist of 4 questions. Out of these, two questions will be from Homeworks 3 and 4 (they may be slightly modified).

Sample Exam

Solutions to sample exam

Exam 3: Scheduled on Wednesday, March 27.

• The duration of the exam is 50 minutes.
• The material for the exam is everything we covered in class from Lecture 17 to Lecture 24.
• Students are allowed to bring ONE SIDE OF A PAGE of notes (the maximum size of the page is same as the A4 size pages used in lecture notes) and a pocket-size calculator (it is not necessary to bring a calculator, it is acceptable to leave your answers as ratios of integers).
• No other material including books, references, lecture notes or text-capable electronic devices is allowed.
• The exam will consist of 4 questions. Out of these, two questions will be from Homeworks 5 and 6 (they may be slightly modified).

Sample Exam

Solutions to sample exam

Exam 4: Scheduled on Wedensday, April 24.

• The duration of the exam is 50 minutes.
• The material for the exam is everything we covered in class from Lecture 25 to Lecture 37.
• Students are allowed to bring ONE SIDE OF A PAGE of notes (the maximum size of the page is same as the A4 size pages used in lecture notes) and a pocket-size calculator (it is not necessary to bring a calculator, it is acceptable to leave your answers as ratios of integers).
• No other material including books, references, lecture notes or text-capable electronic devices is allowed.
• The exam will consist of 4 questions. Out of these, two questions will be from Homeworks 7, 8 and 9 (they may be slightly modified)

Sample Exam

Solutions to sample exam

Homeworks

Homework 1: Exercises 2.10, 2.17, 2.18, 2.20, 2.21, 2.23, 2.35 (homework problems are for your own benefit and it is not required to submit them)

Solutions to Homework 1

Homework 2: Exercises 2.41, 2.50, 2.62, 2.68, 2.77, 2.80, 2.84, 2.88, 3.7, 3.17, 3.34, 3.49, 3.64, 3.76

Solutions to Homework 2

Homework 3: Exercises 4.5, 4.6, 4.7, 4.8, 4.9, 4.13, 4.14, 4.22, 4.24, 4,27, 4.31, 4.33

Solutions to Homework 3

Homework 4: Exercises 4.51, 4.54, 4.58, 4.60, 4.68, 4.78, 4.79, 4.83, 4.84, 4.93, 4.98, 4.100, 4.104, 4.115, 4.120

Solutions to Homework 4

Homework 5: Exercises 5.5, 5.6, 5.8, 5.12, 5.14, 5.17, 5.22, 5.27, 5.39, 5.59

Solutions to Homework 5

Homework 6: Exercises 5.63, 5.65, 5.74, 5.87, 5.85, 5.93, 5.94, 5.105, 5.107, 5.116

Solutions to Homework 6

Homework 7: Exercises 5.140, 6.1, 6.5, 6.8, 6.11, 6.21, 6.22

Solutions to Homework 7

Homework 8: Exercises 6.23, 6.28, 6.31, 6.34, 6.37, 6.38, 6.40, 6.49, 6.56

Solutions to Homework 8

Homework 9: Exercises 6.26, 6.68, 6.70, 6.86, 7.3, 7.9, 7.11, 7.13, 7.20, 7.27

Solutions to Homework 9

Quizzes

Quiz 1: Scheduled on Friday, January 18. Material for the quiz is Lecture 2 to Lecture 4. The quiz will consist of five multiple choice questions. No calculators required, just make sure you go carefully through the lecture notes and understand the main results and concepts.

Quiz 2: Scheduled on Friday, January 25. Material for the quiz is Lecture 5 to Lecture 7. The quiz will consist of five multiple choice questions. No calculators required, just make sure you go carefully through the lecture notes and understand the main results and concepts.

Quiz 3: Scheduled on Friday, February 8. Material for the quiz is Lecture 8 to Lecture 11. The quiz will consist of five multiple choice questions. No calculators required, just make sure you go carefully through the lecture notes and understand the main results and concepts.

Quiz 4: Scheduled on Friday, February 15. Material for the quiz is Lecture 12 to Lecture 14. The quiz will consist of five multiple choice questions. No calculators required, just make sure you go carefully through the lecture notes and understand the main results and concepts.

Quiz 5: Scheduled on Friday, March 15. Material for the quiz is Lecture 18 to Lecture 22. The quiz will consist of five multiple choice questions. No calculators required, just make sure you go carefully through the lecture notes and understand the main results and concepts.

Quiz 6: Scheduled on Friday, April 5. Material for the quiz is Lecture 27 to Lecture 30. The quiz will consist of five multiple choice questions. No calculators required, just make sure you go carefully through the lecture notes and understand the main results and concepts.

Quiz 7: Scheduled on Friday, April 12. Material for the quiz is Lecture 31 and Lecture 32. The quiz will consist of five multiple choice questions. No calculators required, just make sure you go carefully through the lecture notes and understand the main results and concepts.

Quiz 8: Scheduled on Friday, April 19. Material for the quiz is Lecture 33 to Lecture 35. The quiz will consist of five multiple choice questions. No calculators required, just make sure you go carefully through the lecture notes and understand the main results and concepts.