# Probability STAT/MA 416, Fall 2011

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

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.

 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