MTH 451/URI
Introduction to Probability and Statistics

Course Information and Syllabus, Fall 1999

Text:  Mathematical Statistics, John E. Freund, Sixth Edition 

Prerequisites: MTH 243

Exams and Grading:  There will be three exams and some homework assignments and quizzes. The exams will be in part of open book type.

THREE HOUR TESTS:                     40 percent 

QUIZZES AND HOMEWORK:          30 percent

FINAL EXAM:                                  30 percent

We will cover most of the material from Chapters 1-7. The emphasis will be on the rigorous development of the theoretical basis and fundamental tools of probability and statistics. Many important examples from different areas of applications such as biostatistics and industrial statistics will be discussed. Most proofs will be given. The topics that will be covered are:

probability spaces
properties of probability
random variables
distributions
expectations and moments
some common distributions
elementary limit theorems.

Computer Requirements

The use of statistics packages such as EXCEL and SPSS or computer algebra systems such as MATHEMATICA, MAPLE, and Scientific Notebook is encouraged but not expected. Some computer lectures in some of these systems will be presented, and provided.  Some MAPLE notebooks will be provided and demonstrated in the class. One of the exams may be MAPLE-aid exam.
Most of the problems can be solved by using the graphing calculator.

Instructor: Dr. M. Kulenovic,
e-mail:  kulenm@math.uri.edu
Online information: www.math.uri.edu/courses or www.math.uri.edu/~kulenm

Office hours: T, Th: 9:30-11, and by appointment. 

Time: T,Th: 12:30-1:45
Room: Tyler 106


 
 
 
Chapter   Homework Problems
1 6, 11, 14, 26, 40
2 11, 19, 20, 21, 25, 27, 28, 32, 36, 42, 54, 62, 65, 71, 75, 83, 88, 89, 91, 100, 101, 105
3 3, 5, 9, 12, 15, 18, 20, 21, 26, 30, 34, 40, 49, 51, 54, 60, 61, 64, 70, 79, 85, 87, 94, 96, 105, 107
4 6, 7, 16, 17, 20, 24, 31-34, 37-39, 50, 54, 62, 63, 66, 77, 80
5 1, 2, 8, 16, 17, 26, 30, 40, 49, 56, 58, 71, 72, 83, 87
6 6, 16, 20, 21, 23, 30, 33, 36, 38, 44, 49, 53, 55, 58-60, 64, 65, 72, 79, 82
7 1, 4, 8, 13, 16, 30, 38, 58-61, 66