In this video, we look into the concept of expectation (or expected value) for discrete random variables. From its definition as a weighted average to its significance in probability and real-world applications, we break it down step-by-step with intuitive explanations and examples.
🔍 What You'll Learn:
What is the expectation of a discrete random variable?
Why it’s a “weighted average” and what it represents.
A practical, conceptual derivation of the expectation for the binomial and Poisson random variables.
Whether you're a student, engineer, or just curious about probability theory, this video will help you understand the expectation of random variables in a way that makes sense!
00:00 – Introduction
00:54 – Conceptual overview
06:56 – Expectation of binomial random variable
15:49 – Expectation of Poisson random variable