ANNOUNCEMENTS

Review Session for Midterm 1 will be held in WEH 7500 from 12 p.m. - 2 p.m. on Sunday, Sept 13. This will be TA led. A handout for the review session (containing new practice problems) will be posted on Canvas by Saturday morning.
Midterm 1 will be held Monday, Sept 14, from 6-8 p.m. There are 2 locations:
- If your last name starts with A-L, you will be in WEH 7500.
- If your last name starts with M-Z, you will be in DH 2315.
- A (very) small number of you were sent a separate email with a possibly different location, because you are starting the exam a little earlier. Please follow the directions in the separate email that you were sent.
What Midterm 1 covers: Chapters 1-4, plus a touch of Chapter 5.
- Regarding Chapter 5: We know that you have not done homework yet on Chapter 5, so we will keep that material easy and stick to only what was covered in class.
- Regarding Chapters 1-4: The level of the problems is similar to your homework, where some problems are very quick and others require some thinking. You are responsible for everything in the book in Chapters 1-4.
What you can bring to Midterm 1: Midterm 1 is closed book, closed notes, closed calculators, etc. The only thing you're allowed is one 3x5 index card with writing on 1 side.
Tips for studying for Midterm 1:
- Read Chapters 1-4 of your textbook, plus whatever we've covered in class of Chpt 5. Cover up all the answers and write them down yourself with pen and paper. There are a lot of good examples in the book. Note that we are only half-way through Chpt 5.
- On Saturday, the TAs will post a handout for Sunday's Review Session. This will include a bunch of new practice problems. Fill out the entire handout before you go to the Sunday review.
- Go over all the homework problems again, but check your solution against the class solution that we handed out. The class solution often contains some nice simplification tricks.
- Go over your recitation handouts and try all the problems yourself again. If you can't do some of these, contact your TAs or bring your questions to the Review Session.
Where to go to get materials:
- Homework solutions are available in the bins outside Mor's door -- GHC 7207.
- Index cards are available outside Mor's door -- GHC 7207.
- Handouts from class and recitation are available on Canvas.
- The Review Session handout will be available on Canvas by Saturday morning.

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. It must be uploaded to Gradescope. Please upload EARLY. This is your one chance to get practice with doing problems to prepare for exams. Please do not use LLMs and 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] 1.1, 1.2, 1.4, 1.5, 1.6, 1.7 in the Exercises Section of your PnC textbook, plus 1.11, 1.12, 1.14 in this pdf file. Please read the instructions in the pdf file. Due 12:50 pm on 8/28.
- For Exercise 1.5, the Taylor series expansion should be around the point 0.
[HW 2: Events] 2.7, 2.9, 2.10, 2.11, 2.12, 2.16, 2.22, 2.25, 2.28 in PnC textbook. Due 12:50 pm on 9/4.
- 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, 4.4, 4.5, 4.10, 4.13, 4.15, 4.16, 4.18. Due 12:50 on 9/11.
- 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: Moments, variance, random sums] 4.21, 4.24, 5.3, 5.21, 5.26, 5.31, 5.33, 5.36, 5.38 in PnC textbook. Due 12:50 pm on 9/18.
- Note: We ran out of room to include a problem on Simpson's paradox, but if you want to see one, you can look at 4.17. Do not turn this in.
[HW 5: Inspection paradox, tails, Jensen, z-transform] 5.11, 5.20, 5.24, 5.30, 5.37, 6.2, 6.9, 6.11, 6.12, 6.14 in PnC textbook. Due 12:50 pm on 9/25.