Probability
STAT/MA 416, Fall 2011

Lecture: MWF, 9:30 AM -- 10:20 AM, in REC 112
(STAT 41600-001; Banner CRN 40115)
(MA 41600-001; Banner CRN 45604)

Professor: Mark Daniel Ward
Email: mdw@purdue.edu
Office: MATH 540
Phone: 765-496-9563

Office hours: Dr. Ward is always happy to meet with students.
Dr. Ward is available for walk-in or scheduled appointments anytime, throughout the week.
He is also always guaranteed to be available MWF, 7:30 AM -- 8:20 AM, in MATH 540.

Grader: Nur Jazmina Jalaludin
Email: njalalud@purdue.edu

Course description: click here

Course policy: click here

Midterm exam dates: Friday, October 7; Monday, November 21; both held in Krannert, room G016; 9:30 AM to 10:20 AM

Final exam date/time/location: Friday, December 16, 10:20 AM to 12:20 PM, in GRIS 180

Plan to be present at all exams. Plan to be present for class every day.

Homework: All assigned homework problems are posted in the calendar grid below. Homework solutions will be collected in class on the due date. Homework solutions will be posted by the instructor here (in pdf format).
  1. Problem Set 1 assigned Mon, Aug 22; due Wed, Aug 24 at 9:30 AM
  2. Problem Set 2 assigned Wed, Aug 24; due Fri, Aug 26 at 9:30 AM
  3. Problem Set 3 assigned Fri, Aug 26; due Mon, Aug 29 at 9:30 AM
  4. Problem Set 4 assigned Mon, Aug 29; due Wed, Aug 31 at 9:30 AM
  5. Problem Set 5 assigned Wed, Aug 31; due Fri, Sep 2 at 9:30 AM
  6. Problem Set 6 assigned Fri, Sep 2; due Wed, Sep 7 at 9:30 AM
  7. Problem Set 7 assigned Wed, Sep 7; due Fri, Sep 9 at 9:30 AM
  8. Problem Set 8 assigned Fri, Sep 9; due Mon, Sep 12 at 9:30 AM
  9. Problem Set 9 assigned Mon, Sep 12; due Wed, Sep 14 at 9:30 AM
  10. Problem Set 10 assigned Wed, Sep 14; due Fri, Sep 16 at 9:30 AM
  11. Problem Set 11 assigned Fri, Sep 16; due Mon, Sep 19 at 9:30 AM
  12. Problem Set 12 assigned Mon, Sep 19; due Wed, Sep 21 at 9:30 AM
  13. Problem Set 13 assigned Wed, Sep 21; due Fri, Sep 23 at 9:30 AM
  14. Problem Set 14 assigned Fri, Sep 23; due Mon, Sep 26 at 9:30 AM
  15. Problem Set 15 assigned Mon, Sep 26; due Wed, Sep 28 at 9:30 AM
  16. Problem Set 16 assigned Wed, Sep 28; due Fri, Sep 30 at 9:30 AM
  17. Problem Set 17 assigned Fri, Sep 30; due Mon, Oct 3 at 9:30 AM
  18. Problem Set 18 assigned Mon, Oct 3; due Wed, Oct 5 at 9:30 AM
  19. Problem Set 19 assigned Wed, Oct 12; due Fri, Oct 14 at 9:30 AM
  20. Problem Set 20 assigned Fri, Oct 14; due Mon, Oct 17 at 9:30 AM
  21. Problem Set 21 assigned Mon, Oct 17; due Wed, Oct 19 at 9:30 AM
  22. Problem Set 22 assigned Wed, Oct 19; due Fri, Oct 21 at 9:30 AM
  23. Problem Set 23 assigned Fri, Oct 21; due Mon, Oct 24 at 9:30 AM
  24. Problem Set 24 assigned Mon, Oct 24; due Wed, Oct 26 at 9:30 AM
  25. Problem Set 25 assigned Wed, Oct 26; due Fri, Oct 28 at 9:30 AM
  26. Problem Set 26 assigned Fri, Oct 28; due Mon, Oct 31 at 9:30 AM
  27. Problem Set 27 assigned Mon, Oct 31; due Wed, Nov 2 at 9:30 AM
  28. Problem Set 28 assigned Wed, Nov 2; due Fri, Nov 4 at 9:30 AM
  29. Problem Set 29 assigned Fri, Nov 4; due Mon, Nov 7 at 9:30 AM
  30. Problem Set 30 assigned Mon, Nov 7; due Wed, Nov 9 at 9:30 AM
  31. Problem Set 31 assigned Wed, Nov 9; due Fri, Nov 11 at 9:30 AM
  32. Problem Set 32 assigned Fri, Nov 11; due Mon, Nov 14 at 9:30 AM
  33. Problem Set 33 assigned Mon, Nov 14; due Wed, Nov 17 at 9:30 AM
  34. Problem Set 34 assigned Wed, Nov 16; due Fri, Nov 19 at 9:30 AM
  35. Problem Set 35 assigned Mon, Nov 28; due Wed, Nov 30 at 9:30 AM
  36. Problem Set 36 assigned Wed, Nov 30; due Fri, Dec 2 at 9:30 AM
  37. Problem Set 37 assigned Fri, Dec 2; due Mon, Dec 5 at 9:30 AM
  38. Problem Set 38 assigned Mon, Dec 5; due Wed, Dec 7 at 9:30 AM
  39. Problem Set 39 assigned Wed, Dec 7; due Fri, Dec 9 at 9:30 AM
Corrections recently made to the text are available here.
Other sites that students create or discover? Please let Dr. Ward know.

Outline of Topics
Week 1: Mon, Aug 22
Ch 1: Outcomes, Events, and Sample Spaces
Problem Set 1
Wed, Aug 24
Ch 2: Probability
Problem Set 2
Fri, Aug 26
Ch 3: Independence
Problem Set 3
Week 2: Mon, Aug 29
Ch 4: Conditional Probability
Problem Set 4
Wed, Aug 31
Ch 5: Bayes' Theorem
Problem Set 5
Fri, Sep 2
Ch 6: Random Variables
Discrete Versus Continuous
Problem Set 6
Week 3: Mon, Sep 5 (no lecture)
Labor Day
Wed, Sep 7
Ch 7: Mass and CDF
Problem Set 7
Fri, Sep 9
Ch 8: Joint Mass, Joint CDF
Independence, and Conditioning
Problem Set 8
Week 4: Mon, Sep 12
Ch 9: Expected Value
of a Discrete Random Variable
Problem Set 9
Wed, Sep 14
Ch 10: Expected Value of a Sum
of Discrete Random Variables
Problem Set 10
Fri, Sep 16
Ch 11: Expected Value of a Function
of a Discrete Random Variable
Variance
Problem Set 11
Week 5: Mon, Sep 19
Ch 12: Summary of Discrete Random Variables
Problem Set 12
Wed, Sep 21
Ch 13: Bernoulli Random Variables
Problem Set 13
Fri, Sep 23
Ch 14: Binomial Random Variables
Problem Set 14
Week 6: Mon, Sep 26
Ch 15: Geometric Random Variables
Problem Set 15
Wed, Sep 28
Ch 16: Negative Binomial Random Variables
Problem Set 16
Fri, Sep 30
Ch 17: Poisson Random Variables
Problem Set 17
Week 7: Mon, Oct 3
Ch 18: Hypergeometric Random Variables
Problem Set 18
Wed, Oct 5
Review session;
No problem set assigned.
Midterm Exam 1 practice
Fri, Oct 7
Midterm Exam 1
to be held in KRAN G016
9:30 AM to 10:20 AM (usual time)
Week 8: Mon, Oct 10 (no lecture)
October Break
Wed, Oct 12
Ch 22: Counting (part 1)
Problem Set 19
Fri, Oct 14
Ch 22/23: Counting (part 2)
Problem Set 20
Week 9: Mon, Oct 17
Ch 24/25: Comparing Discrete and
Continuous Random Variables;
Probability Density Functions
Problem Set 21
Wed, Oct 19
Ch 26: Joint Densities
Problem Set 22
Fri, Oct 21
Ch 27: Independent Continuous
Random Variables
Problem Set 23
Week 10: Mon, Oct 24
Ch 28: Conditional Distributions
for Continuous Random Variables
Notes from Oct 24 lecture
Problem Set 24
Wed, Oct 26
Ch 29: Expected Values of
Continuous Random Variables
Problem Set 25
Fri, Oct 28
Ch 30: Expected Values of Functions
of Continuous Random Variables;
Variance of Continuous Random Variables
Problem Set 26
Week 11: Mon, Oct 31
Ch 32: Continuous Uniform Random Variables
Problem Set 27
Wed, Nov 2
Ch 33: Exponential Random Variables;
Waiting Times
Problem Set 28
Fri, Nov 4
Ch 34: Gamma Random Variables
Problem Set 29
Week 12: Mon, Nov 7
Ch 36: Normal Random Variables
Problem Set 30
Wed, Nov 9
Ch 37: Sums of Independent
Normal Random Variables
Problem Set 31
Fri, Nov 11
Ch 38: Central Limit Theorem,
and Laws of Large Numbers
Problem Set 32
Week 13: Mon, Nov 14
Ch 39: Central Limit Theorem:
Normal Approximations to
Binomial Random Variables
Problem Set 33
Wed, Nov 16
Ch 39 (part 2): Central Limit Theorem:
Normal Approximations to
Poisson Random Variables
Problem Set 34
Fri, Nov 18
Ch 31 and Ch 40: Review session;
No problem set assigned.
Week 14: Mon, Nov 21
Midterm Exam 2
to be held in KRAN G016
9:30 AM to 10:20 AM (usual time)
Wed, Nov 23 (no lecture)
Thanksgiving Vacation
Fri, Nov 25 (no lecture)
Thanksgiving Vacation
Week 15: Mon, Nov 28
Ch 41: Distribution of a Function
of One Continuous Random Variable;
also start of Ch 42: Variance of
Sums of Random Variables; Covariance
Problem Set 35
Wed, Nov 30
conclusion of Ch 42: Variance of
Sums of Random Variables; Covariance;
also Ch 43: Correlation
Problem Set 36
Fri, Dec 2
Ch 44: Conditional Expectation
Problem Set 37
Week 16: Mon, Dec 5
Ch 45: Markov and Chebyshev Inequalities
Problem Set 38
Wed, Dec 7
Ch 46: Order Statistics
Problem Set 39
Fri, Dec 9
Review session;
No problem set assigned.
Final Exam practice.
Final exam: Friday, December 16, 10:20 AM to 12:20 PM, in GRIS 180