Proof of Expected Value for the Binomial Distribution

preview_player
Показать описание
Grade 12: Data Management & Probability

Let's prove the Expected Value = np for the Binomial Distribution

If this video helps one person, then it has served its purpose!
#help1inspire1M
Entire High School Math Video series:

Textbook References:

Grade 12: Data Management and Probability

Canton, Erdman, Irvine, Lim, McLaren, Meisel, Miller, Speijer; Mathematics of Data Management, McGraw-Hill Ryerson, (2002)
Zimmer, Cooke, Craven, Farahani, Steinke, Kirkpatrick; Mathematics of Data Management, Nelson (2003)

Free Math Textbooks

Free Graphing Calculator Tool:

Free 3D Graphing Tools:

  1. 1Mjourney
  2. how to prove the expected value for the binomial distribution
  3. binomial distribution
  4. proof of expected value
Рекомендации по теме
Proof of expected 0:07:19

Proof of expected value of geometric random variable | AP Statistics | Khan Academy

Proof of Expected 0:12:23

Proof of Expected Value for the Binomial Distribution

Prove: Variance Shortcut 0:05:57

Prove: Variance Shortcut Method for Discrete Random Variable

Expected Value and 0:07:57

Expected Value and Variance of Discrete Random Variables

Expectation of a 0:07:32

Expectation of a Random Variable Equation Explained

Proofs of Properties 0:05:24

Proofs of Properties Regarding the Expected Value of a Function of a Random Variable

Expected Values for 0:19:44

Expected Values for Continuous Variables!!!

The Expected Value 0:11:20

The Expected Value and Variance of Discrete Random Variables

3 Expected Value 0:02:43

3 Expected Value Rules - Doughterty Review Chapter-Econometrics

The Binomial Distribution: 0:13:54

The Binomial Distribution: Mathematically Deriving the Mean and Variance

Expectation Value Properties 0:06:14

Expectation Value Properties

The Poisson Distribution: 0:09:17

The Poisson Distribution: Mathematically Deriving the Mean and Variance

The expectation and 0:11:16

The expectation and variance for the normal random variable

L13.3 The Law 0:03:58

L13.3 The Law of Iterated Expectations

Expected Value for 0:06:56

Expected Value for a Binomial Random Variable

Example proof of 0:04:05

Example proof of why expected value formula gives you the average

Proof of Expected 0:14:14

Proof of Expected Value for Hypergeometric Distribution

Understanding Expectation of 0:07:02

Understanding Expectation of a Random Variable: Intuition for Expected Value and Linearity

Mean (expected value) 0:04:32

Mean (expected value) of a discrete random variable | AP Statistics | Khan Academy

4.5.1 Expectation: Video 0:18:53

4.5.1 Expectation: Video

Prove that Expected 0:06:18

Prove that Expected Value in Geometric Probability Distribution is reciprocal of p

Proof of Expected 0:02:59

Proof of Expected Value of an N Sided Die

The expected value 0:06:27

The expected value of a function of a random variable

Proof of Expected 0:18:04

Proof of Expected Value for Geometric Distribution

Комментарии
Автор

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."

jmfknits