**Note on conflicts:**
At the time the exam time and date was voted on, only one
person had indicated a legitimate academic conflict. Legitimate conflicts
may be lab sessions, scheduled classes, non-personal trips. In case the
conflict is with another evening exam held at the same (or an overlapping)
time period, University guidelines on prioritizing of conflicts apply:
According to these guidelines, the larger of the two classes is
responsible for arranging a conflict. If you believe you have a
legitimate conflict that cannot be resolved in other ways, email me
(ajh@uiuc.edu) with details (e.g., details on the conflicting class/event,
and exact start and end times), as soon as possible, but no later than
**Friday, April 24.**

**Location:**
The exam will in the same room as the earlier midterms,
**Room 1404 Siebel Center,**
Here are links to maps:

- Map of Siebel Center. Siebel is located at the corner of Stoughton and Goodwin Ave.
- Floor plan for Siebel Center.

**Exam Rules:**
**No books, notes, formula sheets, etc., and no calculators.**
The problems will be such that no calculator is needed;
you can, and should, leave all answers in "raw" form, just as in the
hw problems.

**Exam content:**
The exam will cover Chapters 5 and 6 and Sections 7.4 and 7.7
of the text, corresponding to the class
material covered through Monday, April 20, and homework assignments
through HW 10. (I will hand out solutions to HW 10 on Monday before the
exam.)
See below for a detailed syllabus.

The exam will have 4 - 6 problems, generally with several parts. Most of the problems will be comparable in difficulty to the homework problems, the examples from class and from the book. The problems are expected to be done in the same way as the hw problems; in particular: solutions (with explanations) rather than mere answers are expected; the final answers can and should be left in "raw" form; and the problems should be solved using the methods developed in class.

The exam may include one or two conceptual questions, e.g., questions asking to state a formula, definition, property, or theorem. (Those types of questions wouldn't make sense as hw problems or examples, since the answers can be found in the text.)

**Sample exams:**
Below are links to Math 461 exams given in the past few years.
These should give you an idea of what to expect, in terms of the difficulty
and nature of the problems. Keep in mind, though, that there may be some
differences in coverage of the material.

**Chapter 5: Continuous random variables**

See the two handouts on this material, the first on general concepts and properties, and the second on special distributions (uniform, exponential, normal),- Density function (p.d.f.), cumulative distribution function (c.d.f.) (5.1,5.2)
- Expectation and variance (5.3)
- Distribution of a function of a random variable (5.7).
- Special distributions: Uniform (5.3), normal (5.4), exponential (5.5). (Those are the only ones you need to know.)

**Chapter 6: Joint Distributions**

See handout.- Joint p.m.f.'s, p.d.f.'s, c.d.f.'s (6.1)
- Independence of random variables (6.2)
- Distribution of sums of independent random variables, convolution formula (6.3)
- Conditional distributions, discrete and continuous case (6.4, 6.5)

**Chapter 7: Variance, covariance, correlation, and moment-generating functions**

See handout.- Variance, covariance, correlation (7.4)
- Moment-generating functions (7.7)

*
Last modified Sat 18 Apr 2009 08:49:23 PM CDT
*