Mathematics 307, Principles of Probability and Statistics

 

Preliminary course outline

 

Prerequisite: Math 107-108

 

Basic concepts of descriptive statistics.  Probability, simulation, probability distributions.  Introduction to inference.

 

 

Outline:

 

1.      History of statistics overview

 

2.      Descriptive statistics (histograms, stem and leaf plot, boxplots, etc.; measures of central tendency and dispersion, correlation)

 

3.      Probability (experiments, sample space, basic probability, conditional probability, independence, random variables, expected value)

 

4.      Probability distributions and statistical inference (Counting techniques, binomial distribution, normal distribution, sampling distribution, central limit theorem, applications)