Embed presentation
Download as PDF, PPTX


























This document provides an introduction to random variables. It defines random variables as functions that assign real numbers to outcomes of an experiment. Random variables can be either discrete or continuous depending on whether their possible values are countable or uncountable. The document also defines probability mass functions (pmf) which describe the probabilities of discrete random variables taking on particular values. Expectation is introduced as a way to summarize random variables using a single number by taking a weighted average of all possible outcomes.

























Introduction to Stat310 with feedback topics including class attendance, note-taking, and reading.
Recap of key probability concepts like total probability, multiplication rule, and Bayes rule.
Definition and importance of random variables, their types (discrete vs continuous), and examples demonstrating their applications.
Introduction to Probability Mass Function (pmf), its properties, and how it simplifies understanding random variables.
Concept of Expectation, relevant mathematical properties, and how it serves as a linear operator.