**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.

Exam 1 (in PDF format)

Exam
2 (in PDF format)

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:

Solved problems are useful for all people preparing for the exams in this course.

Some problems to practice:

Probability theory at Harvard University

**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,

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 103

Chapter |
Homework Problems |

1 | 5, 11, 14,25, 26, 40,44 |

2 | 11, 14,19, 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, 80, 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 |