Text: Mathematical Statistics, John E. Freund, Sixth Edition
Prerequisites: MTH 243
Exams and Grading: There will be two exams and some homework assignments and quizzes. The exams will be of open book type.
TWO 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, actuarial probability, 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
discrete and continuous distributions
expectations and moments
elementary limit theorems.
People preparing for actuarial exam will find this course very useful in preparation for Exam 1. To see solved examples of Exam 1 click here:
http://www.casact.org/students/studytools/exam1/index.htm
Solved problems are useful for all people preparing for the exams in this course.
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. 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.
Click here for the description of the basic MAPLE functions
used in probability:
Maple functions in Probability
Instructor: Dr. M. Kulenovic,
Office: Tyler 216
Ph. 4436
e-mail: kulenm@math.uri.edu
Online information: www.math.uri.edu/courses
or www.math.uri.edu/~kulenm
Office hours: MWF: 11-12, and by appointment.
Time: MWF: 2-2:50
Room: Kelly 102
Chapter | Homework Problems |
1 | 5, 11, 14,25, 26, 40,44 |
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 |