TEST AND EXAM INFO
The term tests will be held on February 1st, March 1st, and March 25th. Each term test will be 50 minutes long and no calculators or other aids will be allowed.
Test One:The test will be held on Friday, February 1st. It will be 50 minutes long and will be worth 15% of your final grade.
- Coverage: The test will cover all material up to and including the
lecture of January 25th. There will be 4-5 questions on the test. There will be at
least one question from each of the following topics:
- Univariate transformations: standard questions plus min/max or random number generation examples.
- Joint and marginal distributions.
- Conditional distributions, including the law of total probability.
- Location: Students with last name starting with A-M will write in CLH K. Students with last name starting with N-Z will write in our regular lecture room. You must write the test in the assigned location.
- Extra office hours: Thursday, January 29th from 10am-noon in Ross N638. Ross N638 will be available to you from noon-2pm for "group study" as well.
- [Sample test]: we haven't covered q3 yet.
- Rules: No calculators/cell phones/aid sheets. You will need to space out in the classroom. If you are late, you will not be given additional time.
Test Two:The test will be held on Friday, March 1st. It will be 50 minutes long and will be worth 15% of your final grade.
- Coverage: The test will cover material upto and including the lecture of
Friday, February 15th. There will be 4-5 questions on the test. At least
80% (if not more) of the marks on this test will come from the
following list of
- given bivariate pdf/pmf find marginal(s)
- given bivariate pdf/pmf find conditional(s)
- given bivariate distn find conditional distn and then find the conditional expectation
- law of total probability - based questions (e.g. Q2 on last test)
- given bivariate distn of X,Y find distn of Z=X+Y
- given bivariate distn of X,Y find distn of Z=Y/X (or X/Y)
- linear transformations of normals (apply theorem)
- order statistics (find distn of min/max/min&max)
- apply law of total expectation
- Location/Rules: We will write the test in our regular lecture room. But, you must space out: at least two chairs between each person. Also, no cases of wandering eyes, please. Also, note that if you happen to miss the test, you must submit the new medical form.
- Extra office hours: Thursday, February 21st 10-11 (as per usual), Monday February 25th 12:30-1:30 (as per usual) and Thursday, February 28th 10-11 (as per usual). I have also booked Ross N638 for you to use for group study on Thursday February 29th from 11-2pm.
- Sample test: Q2-4 from old test one and old test two (omit Q2).
Test Three:The test will be held on Monday, March 25th. It will be 50 minutes long and will be worth 15% of your final grade.
- Coverage: The coverage will be (roughly) on the material from lectures
Feb.4th-March 15th. As for the last test, here is your "80%" list:
- Order statistics (min/max/min & max)
- basic conditional expectation (as on your last test)
- bivariate normal "trick" for finding the conditional expectation (note that this requires knowledge of linear transformations of normals)
- random sums (find mean and variance)
- moment generating functions (apply any of the three properties to a question, with a particular focus on the first two)
- state and prove the LLN, discuss why important, discuss assumptions
- state the CLT, discuss why important, discuss assumptions
- CLT application questions
- identify the chi-squared, t, and F distributions - as in examples done in class/hmwk
- Location/Rules: Same as for test two. Please note that you will need a calculator for this test. Your phone is not a calculator.
- Sample test(s): Old test 2 and test 3 from last year.
- [SOLUTIONS] Please note that in q2 you should have also specified the chi-squared with its degrees of freedom, and that the normal and the chi-squared are independent.
FINAL EXAMThe final exam has been scheduled by the office of the Registrar. Please check the date and location here. The exam is worth 55% of your final grade.
- Coverage: The final exam is comprehensive and will cover
everything we have done in the course this year. The "80%" list will be
made up of the lists for tests one, two, and three, as well as the
- One sample z-test and t-test
- Two sample z-test and t-test
- Power in the one-sample and two-sample z-tests (find power or find sample size to achieve a given power)
- one-way ANOVA F-test
- Rules: The final exam will be run according to York final exam official senate rules. No cell phones and no aid sheets are allowed. You will need to space out in the classroom. You will need a calculator (a cell phone is not a calculator). Tables and densities will be provided for you.
- Samples: Final exam from 2011 and 2012.
- Extra office hours: Tuesday, April 9th at 10:30am in Ross N638.