Math 5810 -
Homework Assignments
On this
page
you will find the homework assignments for Math 5810. Assignments will
be
posted here soon after class. Remember that your homework should be
well
laid-out and easy to read. Messy homework will not be graded! Do all
the assigned problems. Turn in the highlighted
problems. Problems marked with an asterisk (*) are mandatory for math
grad students, optional for everyone else. Show all your work!
Due |
Problems |
August 31 | Section
1.1: 3,4,5,7,8,10,11*;
Section 1.2: 2 Section 1.3: 4,5,8,9,10,11,13*,15* |
September 9 | Section
1.4: 1,2,4,5,6,7,9,10,11 *Prove: if A and B are independent, so are A and B^c, A^c and B, A^c and B^c. Section 1.5: 1,5,6,7,8* |
September 14 | Section
1.6: 1,2,3,6,7,8 Review exercise 16* (p.76) Read Appendix 1 |
September 21 | Appendix
1: (ii),(xi),(xii),(xiii),(vi)*,(x)* Section 2.1: 2,5,7,8,10,11,13 Section 2.2: 1,4,9,10,11,14,17* |
September 28 | Section
2.4: 2,6,8*,9 Section 2.5: 1,3cd,6,9,12bcg |
October 5 | Section
3.1: 1,4,5,8,14,13* Section 3.1: 6,12,15,16a,18,21,24* |
October 7 | Exam 1: Chapters 1
and 2 and Section 3.1 (click here for a sample exam, and here for the answers to it) |
October 12 | Section 3.2: 2,4,9,12,16,17,18,20 |
October 19 | Section
3.2: 6,7,13,15,22* Section 3.3: 1,4,8,9,12,13,15,25b,26a,26b* |
October 26 | Section
3.3: 17,19,20,29,30* Section 3.4: 1,4,7a-d,12,17,19ab,24a-c,22* |
November 2 | Section
3.5: 3,6,9,10,15,18* Section 4.1: 2,4,5,13 |
November 9 | Section
4.1: 6,9,10,15* Section 4.2: 3,4a-d,8,10a* Compute the moment-generating function of the normal and exponential distributions Section 4.2: 1 Section 4.5: 2,4,5,8ad |
November 16 | Section
4.5: 6,9a-c Section 4.4: 4,5,6,10ac,8acd* (Use the cdf method, NOT the formula in the book!) Compute the mean and variance of the lognormal(mu,sigma^2) distribution |
November 18 | Exam 2: Sections
3.2-3.5, 4.1, 4.2, 4.4 and 4.5 (click here for the answers to the review) |
November 23 | Section
5.1: 1,2,5,8,9* Section 5.2: 1,6,16,17a* Section 5.3: 2,4,8 Section 5.4: 1,8,9 |
November 30 | Section 4.2: 5,6,16,17,12* Section 6.1: 3,5 Section 6.2: 1,6,17* Section 6.3: 1,5,6,10a |
December 2 | Suggested practice for final: Section 6.4: 4,5,10,11,19,22 |
December 7 (1:30-3:30!!) |
Final
Exam: comprehensive final exam! (click here for the answers to the review) |