### MATH 3670 Probability and Statistics with Applications

### Spring 2016

### MWF 1:05-1:55, Skiles 202

### Office Hours: TTr 2:00-3:00, Classroom or Skiles 133B

The course will introduce the basic notion of probability theory and
its application to statistics. The focus will be on the discussion of
applications.

The text that will be used is:

Jay L. Devore, **Probability and Statistics**,
8th or 8th ed., Thomson

The syllabus can be found here.

There will be two midterm.

The exercise listed are for HW collection. I will collect them
every
two weeks and grade 2 or 3 exercises among the one assigned. In case of
differences between the 8th and 7th editions of the book I will
indicate in square brackets the number relative to the 7th edition.

The final grade will be based on the following rules: 45%
final, 40%
midterms,15% HW. Curving will be done on the final result.

The first midterm will be on **Wednesday February 17** and the second on **Wednesday March 30**.
#### Arguments covered.

- Axioms, Interpretations and Properties of Probabilities
- Probability Distributions for Discrete Random Variables
- Example of Discrete Random Variables
- Continuous Random Variables and Probability Density
Functions
- Example of Continuous Random Variables
- The central limit theorem
- Jointly Distributed Random Variables
- Population, Sample and Processes
- Point Estimation
- Statistical Intervals
- Test of Hypotheses
- Simple Linear Regression (time permitting)

See the webpage
of the Spring 2015 class for previous tests and material.

**First week**

Material covered:

- 1.1 (Population, Sample and Processes)
- 1.2 (Pictorial and Tabular methods in Descriptive Statistics)
- 1.3 (Measure of Location)
- 1.4 (Measure of Variability)

Exercises:

- (1.3) 34, 38
- (1.4) 49, 51