Stat 134, Fall '17

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.

Week 1

Homework
1.1.8, 1.3.12, 1.4.6, 1.4.10
Minimal Practice
1.1.7 (Example 2 will help), 1.3.3, 1.3.5, 1.3.7, 1.4.5, 1.5.1, 1.5.5, 1.6.1, 1.6.5, 1.6.7a, 1.rev.2, 1.rev.7 (part d. is on the next page)
Highly Recommended
1.3.6, 1.3.10, 1.3.11, 1.3.13, 1.4.8, 1.4.9, 1.5.6, 1.6.8, 1.rev.11, 1.rev.12, 1.rev.15, 1.rev.16, 1.rev.19

Week 2

Homework
1.5.2, 1.5.4, 1.6.6, 1.rev.8, 2.1.4, 2.1.6, 2.1.8, 2.1.12
Minimal Practice
1.5.1, 1.5.5, 1.6.1, 1.6.5, 1.6.7a, 1.rev.2, 1.rev.7 (part d. is on the next page), 2.1.1, 2.1.3, 2.1.5
Highly Recommended
1.5.6, 1.6.8, 1.rev.11, 1.rev.12, 1.rev.15, 1.rev.16, 1.rev.19, 2.1.2, 2.1.7, 2.1.9, 2.1.10, 2.1.11

Week 3

Homework
2.2.4, 2.2.10, 2.4.2, 2.4.8, 2.5.6, 2.5.8, 2.rev.10, 2.rev.24 (Be careful in part b.)
Minimal Practice
2.2.1, 2.2.5, 2.2.9, 2.4.3, 2.4.5, 2.4.7, 2.5.1, 2.5.7, 2.rev.15
Highly Recommended
2.2.2, 2.2.3, 2.2.6, 2.2.8, 2.2.14, 2.4.1, 2.4.6, 2.4.9, 2.5.2, 2.5.3, 2.5.4, 2.5.5, 2.5.9, 2.5.12, 2.5.13, 2.rev.12, 2.rev.14, 2.rev.16, 2.rev.18, 2.rev.22, 2.rev.28

Week 4

Homework
3.1.6, 3.1.10, 3.1.14, 3.2.4, 3.2.14, 3.2.16, 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, 3.1.7, 3.1.8, 3.1.12, 3.1.13, 3.2.6, 3.2.9,3.2.10, 3.2.13, 3.2.17, 3.2.19, 3.2.20

Week 5

Homework
3.3.6, 3.3.8, 3.3.12, 3.3.14, 3.3.16, 3.4.2, 3.4.4, 3.rev.20
Minimal Practice
3.3.1, 3.3.3, 3.3.13, 3.3.19, 3.4.1, 3.4.3, 3.4.10
Highly Recommended
3.3.5, 3.3.7, 3.3.9, 3.3.15, 3.3.23, 3.3.24, 3.4.5, 3.4.8, 3.4.12

Week 6

Homework
3.4.12, 3.4.14, 3.5.10, 3.rev.2
Minimal Practice
3.5.1, 3.5.5, 3.5.11, 3.5.12, 3.rev.15
Highly Recommended
3.4.16, 3.5.2, 3.5.4, 3.5.7, 3.5.9, 3.5.16, 3.5.17, 3.rev.26

Week 8

Homework
4.1.4, 4.1.6, 4.1.12, 4.2.4, 4.2.6, 4.2.8, 4.rev.12, 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, 4.1.2, 4.1.8, 4.1.9, 4.2.1, 4.2.5, 4.rev.3, 4.rev.13
Highly Recommended
4.1.5, 4.1.7, 4.1.11, 4.1.13, 4.1.14, 4.2.10, 4.2.14, 4.rev.4, 4.rev.12

Week 9

Homework
4.4.2, 4.4.4, 4.4.6, 4.5.2, 4.5.6, 4.5.8, 4.rev.22, 4.rev.24
Minimal Practice
4.4.1, 4.4.3, 4.4.7, 4.5.3, 4.5.5, 4.6.1, 4.rev.2, 4.rev.5, 4.rev.18, 4.rev.21
Highly Recommended
4.4.5, 4.4.10, 4.5.4, 4.5.7, 4.5.9, 4.rev.6, 4.rev.7, 4.rev.23

Week 10

Homework (due Wednesday, 11/1)
4.6.2, 5.1.4, 5.1.6, 5.2.4, 5.2.8, 5.2.12, 5.2.14, 5.2.16
Minimal Practice
4.6.1, 4.6.5 a, 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
4.6.3 abcd, 4.6.5 ab, 5.1.2, 5.1.3, 5.1.8, 5.1.9 (let the stick have length 1; try drawing the right region), 5.2.6, 5.2.9, 5.2.10, 5.2.13, 5.rev.2

Week 11

Homework (due Wednesday, 11/8)
5.3.4, 5.3.8, 5.3.12, 5.rev.10, 5.rev.12, 5.rev.24 (assume d < s; note that parts b and c are on the next page), 6.1.2, 6.1.8
Minimal Practice
5.3.1, 5.3.3, 5.3.7 (turn page for more parts), 5.3.9, 5.3.11, 5.rev.5, 6.1.1, 6.1.3
Highly Recommended
5.3.6 (it is helpful to draw figures as in 5.3.1), 5.rev.2, 5.rev.3, 5.rev.19, 6.1.5, 6.1.7

Week 12

Because of Veteran's Day, I'm making this a short assignment. The next (and last) HW will be long, due the Wednesday after Thanksgiving. They will each count as a regular assignment. I'm putting 6.3 problems in the recommended but I'm not making you hand any in because I'm not sure how far I'll get in 6.3 in Monday's lecture. The last assignment will include 6.3, 6.4, and 6.5.
Homework (due Wednesday, 11/15)
6.2.4 (for part (b), see page 487 for the variance of a discrete uniform), 6.2.10, 6.2.12, 6.2.16
Minimal Practice
6.2.1, 6.2.3, 6.2.11, 6.3.1, 6.3.5
Highly Recommended
6.2.7, 6.2.18 (done in class), 6.3.3, 6.3.7

Week 13/14

Homework (due Wednesday, 11/29)
6.3.2, 6.3.4, 6.3.8, 6.3.10, 6.3.12, 6.4.8, 6.4.10, 6.4.12, 6.4.22, 6.5.4, 6.5.6, 6.5.8
Minimal Practice
6.4.3, 6.4.5, 6.4.9, 6.4.11, 6.4.19, 6.4.21, 6.5.1, 6.5.3, 6.5.5
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)!), 6.5.2

Week 15

There is no homework this week since next week is RRR week but it is important for you to get some practice on solving problems from Ch 5.4. We highly recommend you work on all the following problems.
Minimal Practice
5.4.1, 5.4.3, 5.4.5
Highly Recommended
5.4.4, 5.4.10 (the easiest way is to use the c.d.f.), 5.4.13
Anything we ask on the final will be highly similar to one of these problems. Maybe a different context, but very close to these problems.

Concepts of Probability

Stat 134 with Hank Ibser, Fall '17.

Homework Logistics

Recommended Strategy

Assignments/ Practice Problems

Week 1

Week 2

Week 3

Week 4

Week 5

Week 6

Week 8

Week 9

Week 10

Week 11

Week 12

Week 13/14

Week 15