**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 |