Math/Ieng 381 Introduction to Probability and Statistics

Course Description

(3-0) 3 credits. Prerequisite: MATH 125 and prerequisite or corequisite: MATH 225. Introduction to probability theory, discrete and continuous distributions, sampling distributions and the Central Limit Theorem with general principles for statistical inference and applications of random sampling to hypothesis testing, confidence limits, correlation, and regression. This course is cross-listed with IENG 381. Individuals may apply at most 4 credits toward a degree from the following list of courses: MATH 281, IENG/MATH 381, MATH 441.

Couse Learning Outcomes

A student who successfully completes this course should be able to:

  1. Understand and produce a variety of descriptive summaries of data (e.g. numerical summary statistics, boxplots, and histograms).
  2. Compute probabilities
    • Using elementary counting techniques
    • Using fundamental rules of probability, including Bayes' Rule and the Law of Total Probability
    • By recognizing and using standard probability mass functions (e.g. binomial) and density functions (e.g.normal)
    • Approximately, using the Central Limit Theorem
     
  3. Produce and understand point and interval estimates for a population proportion and a population mean.
  4. Understand the fundamental logic behind a formal hypothesis test and be able to carry out such tests on a population proportion and a population mean.
  5. Develop some proficiency in the use of a statistical software package.
  6. Learn, and correctly use, fundamental probability and statistics language and notation.