Thank you for your helpful explanation! I teach Stats and Calc BC. Using series notation in your proof helped me better understand this formula. I came across your video while watching another video on why E(X)=1/p for geometric distributions. It's nice to understand how to prove the specific formulas for E(X) and Var(X) from the generic ones for random variables. I'm new to teaching Stats, so I like understanding the "why."
You are very welcome. I’m glad the explanation has helped. If you would like a full organized list of videos on all foundational math then visit 1mjourney.com and click on the “Math” button. You will find a full list by each grade, topic, and chapter. I have posted the entire Calculus course (proofs are shown as well).
Thank you for your helpful explanation! I teach Stats and Calc BC. Using series notation in your proof helped me better understand this formula. I came across your video while watching another video on why E(X)=1/p for geometric distributions. It's nice to understand how to prove the specific formulas for E(X) and Var(X) from the generic ones for random variables. I'm new to teaching Stats, so I like understanding the "why."
You are very welcome. I’m glad the explanation has helped. If you would like a full organized list of videos on all foundational math then visit 1mjourney.com and click on the “Math” button. You will find a full list by each grade, topic, and chapter. I have posted the entire Calculus course (proofs are shown as well).