TEST AND EXAM INFO
Quiz
The quiz will be held on Monday, January 16th and will be about 10 minutes long. It will be made up of one or two questions on transformations. Any one of the examples we've been looking at is fair game: continuous to continuous (review), continuous to discrete, min/max, and random number generation questions (eg. 67c from chapter 2 in the text).Test One:
The test will be held on Friday, February 3rd in CLH F (not our usual lecture room). The test will be 50 minutes long, and will be worth 15% of your final grade.- Coverage: The test will cover all the material (lecture and homework)
that we have covered from the beginning of the term up to an including last Friday's
lecture. There will be 4-5 questions on the test. There will be at least one
question from each of the following topics:
- Univariate transformations: this includes the "classical" examples (eg. Y=X^2), min/max examples, and random number generation examples
- Marginal and conditional distributions: given the joint pdf, find the marginal and conditional (in either direction)
- Bivariate transfromations: given a joint pdf, find the pdf of the sum or ratio (aka quotient)
- Rules: No calculators/cell phones. Also, you will be expected to space out in the classroom (probably every other row plus within rows), and to place your coats/hats/bags etc to the side/front/back of the room. If you are late, you will not be given additional time.
- [SOLUTIONS] NB. Two of the questions were taken directly from lectures, and two were taken directly from homework. The only new question was worth 5/45 marks.
Test Two:
The test will be held on Friday, March 2nd in CLH F (not our usual lecture room, but our regular "test" room). The test will be worth 15% of your final grade.
- Extra office hours: Wednesday, February 22nd from 1-2:30pm
- Coverage: The test will cover the material from Jan.30 - Feb.17, as well
as conditional distributions and sums/quotients. There will be 4-5 questions on the
test. There will be at least one question from each of the following topics:
- Order statistics: including min/max/range/joint of min and max
- Conditional expectation: this includes
- law of total expectation
- find the conditional expectation given the joint density
- the bivariate normal "trick" which we covered on Feb.17th
- Bivariate transformations: this includes
- sum/quotient case
- linear transformations (with a special case being the bivariate normal)
- general bivariate transformations
- bivariate -> univariate transfromations where you need to define a "dummy" variable
- Rules: Same as for test one.
- Review: I will probably be able to dedicate at least half a lecture to some review after the break. If there is a particular topic that you had struggled with and/or would like to see again, please let me know asap (by e-mail).
- Formulas: As with test one, formulas for densities will be given if they are required for the test. I will also include a copy of Appendix A from the text book.
Test Three:
The test will be held on Friday, March 30th in CLH F (same as before). It will be worth 15% of your final grade. The test will be 50 minutes long.
- Coverage: The test will be on the material we covered from
Feb.15th to March 23rd. There will be 4-5 questions. At least 4 of the
questions will come from the following list:
- Conditional expectation, law of total expectation, variance formula.
- Moment generating functions.
- LLN and CLT.
- Chapter 6 work.
- Z-test and power.
- Rules: Same as for tests one and two. A formula sheet will be provided for you. It will have the necessary tables (t, z, F ...) and Appendix A. Please bring a non-programmable non-graphing calculator with you as you will need one.
Final Exam:
The final exam has now been scheduled. It will be worth 50% of your final grade. The final exam is 3 hours long. It will be about 10-12 questions long. The questions will be of varying difficulty.
- Extra office hours: Tuesday at 11:30 (the 10th) and Wednesday (the 11th) at 11 in Ross N620.
- Coverage: The coverage will include everything we have done in the class (or was assigned in the homework). Roughly speaking, take the "lists" for tests 1-3, as well as the t-test, two-sample t-test, and one-way ANOVA.
- Rules: Same as for the tests, except that you will need a calculator. This should be a basic calculator - non-programmable, non-graphing, and definitely not your phone. You will receive the same Appendix A as always, along with the necessary tables (t, z, F, etc.).
Old tests and quizes:
Below are old quizes and tests from when I last taught the course. I will not be posting solutions to these, so don't even ask. Please note that the last time there were 5 quizes and one midterm, so the structure of the course was quite different. Also, the course content has changed slightly since last year.