**Submission:**Homework is due by 11:59 pm on the day due (noted below) on Gradescope. Late submissions will not be accepted.**Grading:**Submissions will be graded on a 0/1 scale. Each assignment will consist of 8 problems. A good attempt at 6 or more problems will receive the score of 1; anything else will get 0. Course staff will define what constitutes a "good attempt." We will be looking for reasoning and detailed work shown – it is assumed that you will show work or provide reasoning whether or not the question asks for it.Your lowest two homework scores will be dropped.

**Academic Honesty:**Cheating will not be tolerated. While you are encouraged to work with other people, you must write up your own solutions.

**Step 1**: Go through lecture notes and/or skim the text (see the Reading page). This is important. Note what the main ideas are and what techniques are being used in the examples. Read the text more carefully if you don't follow the examples.**Step 2**: Try a problem.**Step 3**: If you get stuck, return to Step 1.Iterate a couple of times, reading more carefully each time and trying the same problem. Most likely you'll be able to solve it. If you still can't, only then proceed to Step 4.

**Step 4**: Move to another problem and seek help with the one that is giving trouble.In our experience many students start with Step 2 and, if they get stuck, proceed immediately to Step 4.

**This method is inefficient and doesn't result in much learning**. Before you come to the instructors or to the Student Learning Center, do the reading first! You may not need to make the trip at all.

In what follows, Exercise x.y.n is Problem n in the Exercises at the end of Section x.y. Exercise x.rev.n is Problem n in the Review Exercises at the end of Chapter x.

**Homework**(due**Friday, 01/29**)- 1.1.8, 1.3.12, 1.4.6, 1.4.10, 1.5.2, 1.5.4, 1.6.6, 1.rev.16
**Minimal Practice**- 1.1.7 (Example 2 will help), 1.3.3, 1.3.5, 1.3.7, 1.4.3, 1.4.5, 1.5.1, 1.5.5, 1.6.1, 1.6.5, 1.6.7a, 1. rev.7 (part d is on the next page)
**Highly Recommended**- 1.3.6, 1.3.10, 1.3.11, 1.3.13, 1.5.6, 1.6.8, 1.rev.8, 1.rev.11, 1.rev.12, 1.rev.14, 1.rev.15, 1.rev.19

**Homework**(due**Wednesday, 02/03**)- 2.1.4, 2.1.6, 2.1.8, 2.1.12, 2.2.6, 2.2.10, 2.2.14, 2.rev.24 (be careful in part b!)
**Minimal Practice**- 2.1.1, 2.1.3, 2.1.5, 2.2.1, 2.2.5, 2.2.9
**Highly Recommended**- 2.1.2, 2.1.7, 2.1.9, 2.1.10, 2.1.11, 2.2.2, 2.2.3, 2.2.4, 2.2.8, 2.2.12, 2.rev.8

**Homework**(due**Wednesday, 02/10**)- 2.4.1a,d (just those two parts; show some of your calculations), 2.4.6, 2.4.8, 2.5.6, 2.5.8, 2.5.12a-e (just those five parts), 2.rev.10, 2.rev.18
**Minimal Practice**- 2.4.3, 2.4.5, 2.4.7, 2.5.1, 2.5.7, 2.rev.15
**Highly Recommended**- 2.4.2, 2.4.9, 2.5.2, 2.5.3, 2.5.4, 2.5.5, 2.5.9, 2.5.12 (the parts that aren't assigned for homework), 2.5.13, 2.rev.12, 2.rev.14, 2.rev.16, 2.rev.22, 2.rev.28

**Homework**(due**Wednesday, 02/17**)- 3.1.8, 3.1.12, 3.1.14, 3.2.4, 3.2.14, 3.2.20, 3.rev.8, 3.rev.10
**Minimal Practice**- 3.1.3, 3.1.9, 3.1.15 (connect this with Example 3 of Section 1.1 and Exercise 1.1.8), 3.2.1, 3.2.3, 3.2.5, 3.2.7, 3.2.11
**Highly Recommended**- 3.1.2, 3.1.6, 3.1.7, 3.1.10, 3.1.13, 3.2.6, 3.2.9, 3.2.13, 3.2.17, 3.2.16, 3.2.19

**Homework**(due**Wednesday, 02/24**)- 3.3.6, 3.3.8, 3.3.12, 3.3.16, 3.3.20, 3.6.2 (turn the page for part d), 3.6.5, 3.6.6
**Minimal Practice**- 3.3.1, 3.3.3, 3.3.13, 3.3.19, 3.6.1, 3.6.7, 3.6.8
**Highly Recommended**- 3.3.5, 3.3.7, 3.3.9, 3.3.15, 3.3.23, 3.6.9

**Homework**(due**Wednesday, 03/03**)- 3.4.10, 3.4.12, 3.4.14, 3.5.4, 3.5.10, 3.5.12, 3.5.17, 3.rev.2
**Minimal Practice**- 3.4.1, 3.4.3, 3.4.5, 3.5.1, 3.5.5, 3.5.11, 3.rev.15
**Highly Recommended**- 3.4.2, 3.4.11, 3.5.2, 3.5.7, 3.5.9, 3.5.16, 3.rev.26

- Due to the midterm 1, there will be no homework assigned this week. Enjoy the short break!

**Homework**(due**Wednesday, 03/17**)- 4.1.4, 4.1.7 (yes, it's an odd-numbered problem), 4.1.8, 4.1.12, 4.2.4, 4.2.8, 4.rev.2, 4.rev.14 (part c is on the next page)

Note: Careful about the variance calculation in 4.2.8. Many students calculate the expectation by weighted averaging, but that doesn't work for variances. If you can do part (a), then you should be able to find the density via the c.d.f. Use that to justify your expectation calculation, and then use the same method to find the expectation of the square of X. After that the variance is easy. **Minimal Practice**- 4.1.1, 4.1.3, 4.1.9, 4.2.1, 4.2.5, 4.rev.3, 4.rev.13
**Highly Recommended**- 4.1.2, 4.1.5, 4.1.10, 4.1.11, 4.2.6, 4.rev.4, 4.rev.12

*Note:*MGF.x refers to problem x on the following worksheet: MGF Problems**Homework**(due**Wednesday, 03/31**)- 4.4.2, 4.4.4, 4.4.6, 4.5.2, 4.5.6, 4.rev.4 (please provide a sketch of the density), MGF.1, MGF.4
**Minimal Practice**- 4.4.1, 4.4.3, 4.4.7, 4.5.3, 4.5.5, 4.5.8, 4.6.1, 4.rev.5, 4.rev.18, 4.rev.21, 4.rev.22, MGF.2, MGF.5
**Highly Recommended**- 4.4.5, 4.4.10, 4.5.4, 4.5.7, 4.rev.6, 4.rev.22, 4.rev.23, MGF.3

**Homework**(due**Wednesday, 04/07**)- 4.6.2, 4.rev.16, 5.1.4, 5.1.6, 5.1.9 (let the stick have length 1; try drawing the right region), 5.2.6, 5.2.8, 5.2.12, 5.2.14, 5.2.16
**Minimal Practice**- 4.6.1, 4.6.5a, 4.rev.5, 4.rev.11 (do
**not**crank them out by calculus; use what you know gamma and beta densities), 5.1.1, 5.1.7, 5.2.1, 5.2.3, 5.2.5, 5.2.11 **Highly Recommended**- 4.6.3abcd, 4.6.5a-b, 5.1.2, 5.1.3, 5.2.4, 5.2.9, 5.2.10, 5.2.13, 5.rev.2

**Homework**(due**Wednesday, 04/14**)- 5.3.4, 5.3.8, 5.3.12, 5.4.10 (the easiest way is to use the c.d.f.), 5.4.13. 5.rev.12, 5.rev.22, 5.rev.24 (assume d < s; note that parts b and c are on the next page)
**Minimal Practice**- 5.3.1, 5.3.3, 5.3.7 (turn page for more parts), 5.3.9, 5.3.11, 5.4.1, 5.4.3, 5.4.5, 5.rev.5
**Highly Recommended**- 5.3.6 (it is helpful to draw figures as in 5.3.1), 5.4.4, 5.rev.2, 5.rev.16

**Homework**(due**Friday, 04/30**)- 6.1.2, 6.1.8, 6.2.4 (for part (b), I recommend looking at page 487 where you will find the variance of a useful uniform variable), 6.2.10, 6.2.12, 6.2.16, 6.3.2, 6.3.4
**Minimal Practice**- 6.1.1, 6.1.3, 6.2.1, 6.2.3, 6.2.11, 6.3.1, 6.3.5
**Highly Recommended**- 6.1.5, 6.1.7, 6.1.8, 6.2.7, 6.2.18, 6.3.3, 6.3.7

- Due to the midterm 2, there will be no homework assigned this week. Enjoy the short break!

**Homework**(due**Sunday, 05/02**24:00)- 6.3.8, 6.3.10, 6.3.12, 6.4.8, 6.4.10, 6.4.12, 6.4.22, 6.rev.21
**Minimal Practice**- 6.4.3, 6.4.5, 6.4.9, 6.4.11, 6.4.19, 6.4.21
**Highly Recommended**- 6.4.7, 6.4.11, 6.4.13, 6.4.15a-c (don't redo (a) to prove (b) -
**use**(a) to prove (b)!)

- There will be no homework due this week, as this would be due during the RRR week.
**Highly Recommended**- 6.5.1, 6.5.2, 6.5.3, 6.5.4, 6.5.5, 6.5.6, 6.5.8, 6.5.12