MATH 385 — PROBABILITY AND STATISTICAL INFERENCE I
Learning Objectives & Matches
Introduces mathematical theory of probability and statistical inference including proofs, discrete/continuous distributions, and hypothesis testing.
Test, validate, and reformulate models to ensure accurate prediction of outcomes of interest.
Perform hypothesis testing
Define data requirements, and gather and validate information, applying judgment and statistical tests.
Apply probability distributions rigorously
Assemble sets of assumptions, and explore the consequences of each set.
Prove probability theorems
Construct probability tables for events such as fires, natural disasters, and unemployment, based on analysis of statistical data and other pertinent information.
Construct confidence intervals
Calculate sample size requirements for clinical studies.