Math 408 Midterm Exam 1 Information NOTE: THE EXAM WILL BE IN ROOM 66 LIBRARY

Basic information

Date/time: The test will be Friday, March 7, at the regular class hour, 9:00 - 9:50 am. The exam will be written as a 50 minute exam, but you can start a couple of minutes early if you are there. (My proctors and I plan to be there by about 8:45 am.)

Location: The exam will not be in the regular classroom, but in 66 Library, located in the basement of the Main Library building. This room has a capacity of 200+ (compared to 80 for the regular classroom), so everybody should have plenty of space and breathing room.

Rules: The rules are essentially the same as for actuarial exams. In particular, books, notes, and formula sheets, are not allowed. A basic calculator of the type approved for actuarial exams is fine. However, the majority of problems require no calculator, and using a calculator for those problems would be a waste of time; for problems that do require a calculator, only a minimal amount of calculation is needed. Note that calculators with graphing, integrating, or differentiating capabilities are not allowed in actuarial exams; I won't go so far as to prohibit such calculators, but if you do have such a calculator, you should not use its advanced functions (graphing, integrating, etc.). You won't get credit for integrals or derivatives that you computed with a calculator.

Exam content: The exam will cover Chapters 1 - 3 through Section 3.3, except for those parts that we did not (yet) cover in class. A detailed list of topics is given below. The exam will have 6 - 10 problems, of roughly the same difficulty level and length as an average homework problem or an actuarial exam problem from the problem sets handed out.

Grading: After scoring the test, I will set a curve by specifying cutoffs for A's, B's, etc. The cutoffs depend on the distribution of scores, but I do not try to achieve predetermined percentages of A's, B's, etc. This allows for some flexibility by giving, for instance, no F's, or more than the "proper" share of F's. Once the exam has been graded and the scores have been entered into the computer grading system, you can access your scores online. (See the link to online grades on the Course Webpage.) Instructions on accessing and interpreting these "Score reports" will be provided after the test. Raw HW and quiz scores are already in the system, and you can use this link to check the scores you have earned to date.

This test counts 20% towards your course grade. The grade will be computed from your grades on the homework, quizzes, midterm test, and final exam, as follows (see the Course Information Sheet for details):

• 15% Homework
• 15% Quizzes
• 40% Midterm Tests (20% each)
• 30% Final Exam

Syllabus

Chapter 1: General Probability

• Set-theoretic notation, operations, and rules; correspondence between set-theoretic operations and logical operations
• General probability concepts and rules (1.2)
• Conditional probability (1.4)
• Independence (1.5)
• Bayes' rule and average rule (1.6)
(Note that combinatorial probabilities (Section 1.3) will not be on the exam since we did not (yet) cover this in class.)

Chapter 2: Discrete Distributions

See the two handouts on Discrete Random Variables for a summary of concepts and formulas from this chapter that you need to have memorized.

• General concepts and formulas: discrete density function (p.m.f.), expectation, variance, standard deviation, moment-generating function (2.1, 2.2, 2.3, 2.5);
• Binomial distribution and the success/failure trial model (2.4)
• Geometric distribution and application to success/failure trials (2.5)
• Poisson distribution (2.6)

Chapter 3: Continuous Distributions

See the handout on Continuous Random Variables for a summary of concepts and formulas from this chapter that you need to have memorized.
• General concepts and formulas: Density function (p.d.f.); cumulative distribution function (c.d.f.); expectation and variance; expectation of a function of X; moment-generating functions; median and percentiles (3.2)
• Uniform and exponential distributions (3.3)

Last modified Wed 21 Jan 2009 01:47:30 PM CST