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Ross denotes the class text, 7 th. edition. Homeworks Exx refer to the Problems section of each Chapter, unless otherwise specified. Note there are other exercises: Theoretical Exx, and Self-test Exx etc. etc. Be careful to do the right Exx for homeworks.
Homeworks/ Possible Exx. | ||
| WEEK 1 | ||
| 1. Mon Jan 5 |
Review of random variables, and their pmf/pdf, expectations and variances. Ross: 4.2-4.5, 5.1-5.2. |
Web page for MATH/STAT 394 A: Fall 2008 Introduction to Genetics Notes for week 1: Jan 5,7,9,12. Office hour; Tues Jan 6, 1.30-2-30 p.m. only this week. |
| 2. Wed Jan 7 |
Review of continuous random variables: Uniform, Exponential, and Normal. Ross 5.3 to 5.5 The cumulative distribution function (cdf): Ross 4.9 | Homework 1: Do, or redo, the 394 final exam: due Jan 14. |
| 3. Fri, Jan 9 |
More on cdfs's and Normal dsns Bernoulli process review. | Office hour: Friday 10.00-11.30 a.m. |
| WEEK 2 | ||
| 4. Mon, Jan 12 | Poisson process: basic properties and examples. |
Notes for week 2: Jan 14,16. Office hour: Tues 2.00-3:30 |
| 5. Wed Jan 14 | The gamma function and gamma densities: Ross 5.6 |
Notes for week 2: Jan 14,16. Homework 1 (see 1/07) is due. Homework 2: due 1/21 Ross: Ch 5: 1, 8, 11, 32. Ch 5: TE 8. |
| 6. Fri Jan 16 | Examples and Exx of Poisson process |
Homework 1 solns Sorry, no Friday Office hour Jan 16. |
| WEEK 3 | ||
| Monday, Jan 19 | MLK Holiday |
NO CLASSES. Tues Office hour 2.00-3.30 as usual; Notes for week 3: Jan 21,23,26. ( posted 1/16: typos fixed 1/20.) |
| 7. Wed Jan 21 |
Location and scale: linear transformations. Normal, Gamma, Uniform. (Ross 5.4,5.6). |
Homework 2 (see 1/14) is due. Homework 3: due 1/28 Ch 5: 16, 19, 26 Ch 5: TE 9, TE 12 |
| 8. Fri Jan 23 |
Examples with Linear transformations: Normal, Gamma, Uniform. |
Homework 2 solns Useful Exx: Ch 5, ST; 4,8,10; |
| WEEK 4 | ||
| 9. Mon Jan 26 |
Joint and marginal distributions. the multinomial distribution. Ross 6.1 |
Notes for week 4: Jan 28,30. Feb 2. Fact sheet for Feb 6 Midterm. |
| 10. Wed Jan 28 |
Independent random variables: Ross 6.2 Buffon's needle example. |
Homework 3 (see 1/21) is due. Homework 4: due 2/4 Ross Ch 6: 1(a),(b); 6, 10, 20, 21 Info for Feb 6 Midterm:posted Jan 27. |
| 11. Fri Jan 30 | Examples of computing probabilities. |
Homework 3 solns Useful Exx: Ch 6, ST 2, 4, 6 (not (f)) |
| WEEK 5 | ||
| 12 Mon Feb 2 |
Conditional distributions and densities Two examples only; Ross 6.4, 6.5 | |
| 13 Wed Feb 4 |
Midterm review Fact sheet for Feb 6 Midterm. Info for Feb 6 Midterm:posted Jan 27. |
Homework 4 (see 1/28) is due: no late hwks. Homework 4 solns Solutions posted 9:40 a.m. 2/4 Homework 5: due 2/11 Ross Ch 6: 23, 27(b), 42(a), 8(a)(b), 43. |
| 14 Fri Feb 6 | MIDTERM-1 |
EAT AWAY: no Friday office hour. Notes for week 6: Feb 9,11,13. Posted Feb 2. (There are no week-5 notes) |
| WEEK 6 | ||
| 15 Mon Feb 9 | Expectations, Variance and Covariance Ross 7.1, 7.4 |
Notes for week 6: Feb 9,11,13. Posted Feb 2. (There are no week-5 notes) |
| 16 Wed Feb 11 | Variance and covariance of sums of random variables. Ross 7.4 |
Homework 5 (see 2/4) is due. Homework 6: due 2/18 Ross: Ch 7; 1, 3, 30&33; Ch 7; TE 18, TE 19&22 |
| 17 Fri Feb 13 | Moment generating functions: Ross 7.7. |
Midterm return.
Midterm-1 solutions (posted 2/11).
Summary of student scores (posted 2/13) Homework 5 solns |
| WEEK 7 | ||
| Monday Feb 16 | Presidents' Day |
NO CLASSES Notes for week 7: Feb 18,20,23. Posted Feb 17. |
| 18 Wed Feb 18 |
MFGs and
Sums of independent random variables.Ross 7.4, 6.3 Indicator random variables; sampling without replacement. |
Notes for week 7: Feb 18,20,23.
Posted Feb 17. Homework 6 (see 2/11) is due. Homework 7: due 2/25 Ross Problems: Ch 7; 75, 21, 23, 9, 32 (n=4 only!) (See the web page for hints etc!!) |
| 19 Fri Feb 20 | Indicator r.v. examples: multinomial covariances, and a Polya Urn model. |
Homework 6 solns Info for midterm-2 posted 2/20 under Feb 25 date. |
| WEEK 8 | ||
| 20 Mon Feb 23 | Normal random variables; the mgf, linear combinations. The bivariate Normal distribution. | |
| 21 Wed Feb 25 |
Review for Midterm-2 Info for Feb 27 Midterm posted 2/20. Fact sheet for Feb 27 Midterm(slightly updated 2/24). |
Homework 7 (see 2/18) is due; solutions posted. Homework 8: due 3/4 Ross: Ch 6; 2(a)&35, 3(a)&37, 28; Ch 7; 48, 51. |
| 22 Fri Feb 27 | Second Midterm |
Office hour: 10:00-11:00 only (except by appt). Notes for week 9: Mar 2,4,6 (There are no week 8 notes). |
| WEEK 9 | ||
| 23 Mon Mar 2 | Back to conditional pmf and pdf; Ross 6.4,6.5. |
Notes for week 9: Mar 2,4,6 Midterm-2 solutions (posted 3/01). |
| 24 Wed Mar 4 | Conditional expectation Ross 7.5 |
Midterm-2 return: scores summary (Solutions are posted under Mar 2) Homework 8 (see 2/25) is due. Homework 9: due 3/11 Ross: Ch 7; 40, 50, 58, TE 30, TE 32 |
| 25 Fri Mar 6 | Examples of conditional distributions and expectations. |
Homework 8 solns Notes for week 10: Mar 9,11 (posted 3/01) See additional Homework 9 hints |
| WEEK 10 | ||
| 26 Mon Mar 9 | Mean and variance of a sum of a random number of independent random varianble. |
Student course evaluations. Notes for week 10: Mar 9,11 (posted 3/01) See additional Homework 9 hints (posted Mar 6) |
| 27 Wed Mar 11 |
Using conditional expectations and mgfs. Fact sheet for Final Exam(posted 3/9). |
Homework 9 (see 3/4) is due. Homework 9 solns |
| 28 Fri Mar 13 |
Final review for final: Best examples are previous homeworks and midterms!! but see also ST Exx Under Mon Mar 16. |
Fact sheet for Final Exam(posted 3/9). Usual office hour; 10-11.30 a.m. |
| EXAMS WEEK | ||
| Mon Mar 16 |
These examples may (???) be useful: Ch 5, ST, 10,13,18; Ch 6, ST, 3; Ch 7 ST 4, 17,22. | EXTRA office hour; 3-5 p.m.; Homework 9's are available for return: 1.50 p.m. 3/16. |
|
Tuesday March 17 |
Final Exam: 8:30-10:20: THO 325 | Official UW time and place for this exam |