ANNOUNCEMENTS
Midterm 1: Thursday, Feb 20, from 5 p.m. - 7 p.m., Doherty Hall 2315.
- You can bring ONE 3x5 index card with writing on one side.
- Mor will have index cards in her office (GHC 7207) starting Monday of that week.
- Recommendations for what to put on your index card:
- Means, variances, tails, transforms of key distributions
- Key theorems that you find yourself looking up in the book.
- Everything form Chpt 1 that you haven't already memorized.
- Closed book/notes. No calculator/phone/laptop.
- If you missed some classes and want to see our handouts, please come see us and you can take a snapshot.
- Homework solutions for all homeworks are in the bins outside Mor's office: GHC 7207. It is strongly recommended that you go over all solutions to problems, even if you got the problem correct. The solutions often contain simpler derivations that will help you in the exam.
- Midterm 1 will include Chpts 1-7.
Midterm 2: Thursday, Mar 27, from 5 p.m. - 7 p.m., Porter Hall 100.
HOMEWORK
Homework will go out each week on Friday. When the homework goes out, you already have all the material you need to do it that day.
Homework will be due each week the following Friday at 12:50 pm sharp. Start right away! You must get the homework in on time because we give out solutions during recitation. There are no late days (not even late minutes). However we will drop your 1 lowest homework score at the end of the class. Please save up your drop for when you're sick or traveling. Homework is graded within a couple days. You can submit a regrade request on Gradescope (including a detailed explanation of why you think you were misgraded) within 2 days of when you get your homework grade.
- Here is an OPTIONAL Latex Template template.tex. You are also free to hand-write your homeworks, provided you can keep your handwriting readable.
- [HW 1: Review of prerequisites] 1.2, 1.4, 1.5, 1.6, 1.7 in PnC textbook, plus 1.11, 1.12, 1.13 in this pdf file. Please read the instructions in the pdf file. Due 12:50 pm on 1/17.
- For Problem 1.5, the Taylor series expansion should be around the point 0.
- [HW 2: Events and R.V.s] 2.7, 2.8, 2.9, 2.10, 2.11, 2.12, 2.22, 2.25, 2.28 in PnC textbook. Due 12:50 pm on 1/24.
- For Problem 2.22 (Monty Hall), we recommend that you take the following steps.
(1) Since the contestant knows nothing, assume WLOG that the contestant picks door 1.
(2) Let D be a r.v. representing the door that has a car behind it.
(3) Let Y be a r.v. representing the action of the game host.
(4) You are trying to compare P{D= 1 | Y = i} with P{D = 2 | Y= i} or P{D = 3 | Y= i} for all possible values i. Explain what this means in terms of switching. Now derive each.
- [HW 3: Discrete R.V.s and expectation] 3.8, 3.10, 3.12, 4.5, 4.11, 4.12, 4.13, 4.15, 4.16, 4.18. Due 12:50 on 1/31.
- Problem 4.5, assume that birthdays are equally likely to fall on any day.
- Problem 3.12: Each sub-question asks if Y_1 and Y_2 are dependent. To make it easier, you can view the question as: "are Y_1 and Y_2 independent?"
- [HW 4: Simpson's, moments, random sums] 4.17, 4.21, 4.26, 5.3, 5.26, 5.31, 5.33, 5.36, 5.38 in PnC textbook. Due 12:50 pm on 2/7.
- [HW 5: Inspection paradox, tails, z-transform] 5.20, 5.24, 5.29, 5.37, 6.2, 6.9, 6.11, 6.12, 6.14, 6.15 in PnC textbook. Due 12:50 pm on 2/14.