# Mathematics

## Math 330  Probability Theory and Statistics

3 credits  Spring, 2005

MWF  9:00- 9:50  MC 415

Dr. Mark Saegrove

MC 525   Ph: 796-3657  Home Ph: 1-608-735-4789

e-mail mjsaegrove@viterbo.edu

Course Description (from catalog): Theory and application of probability; discrete and continuous variables; the binomial, Poisson, geometric, normal, gamma, and chi-square are examples of distributions studied.  Prerequisite: grade of C or higher in 221, and C or higher in 130 or 230.

Course Outcomes:

Content: Students will learn basic probability and statistical concepts and theory (see listing of specific topics below), and some of their real-world applications.  Students will solve numerous assigned problems and present those solutions in writing and/or orally in class.

Reasoning: [2.1] Students will demonstrate an understanding of axiomatic-deductive systems in the probability theory and statistics theory context. [2.2] Students will read and understand proofs given in the text and in class. [2.4] Students will be able to prove theorems on their own, and will deduce how to apply theory to solving assigned problems.

Problem Solving: [3.1 and 3.2] Students will solve numerous assigned problems using routine application of basic statistical theory, and in some cases non-routine application of a variety of results from other areas of mathematics.

Technology: [3.1] Students will appropriately use a computer statistical package (Minitab) to assist them in solving some statistical problems.

Communication: [ 5.1, 5.2 and 5.3] Students will accurately and appropriately use the language of mathematics for oral in-class presentations of solutions to problems and in written solutions to problems on assignments and exams.

Text: Probability and Statistical Inference, 6th edHogg and Tanis. Prentice Hall, 2001.

Content:  Review of Basic Concepts

Probability

Discrete Distributions

Continuous Distributions

Sampling Distribution Theory

Estimation

Hypothesis Testing

References:  Introduction to the Practice of Statistics, 4rd edition.  Moore and McCabe. Freeman, 2003.