FMS 32: Proof of Var(X)=E(X^2)-(E(X))^2

In this video, we prove the fundamental formula for variance by starting with its definition as the expected value of the squared deviation from the mean.
We then expand and simplify this expression step-by-step using the properties of expectations.
Through this clear and concise proof, we demonstrate how variance is calculated as the difference between the expected value of the squared random variable and the square of its expected value.
This explanation provides a deeper understanding of the core concept of variance in probability and statistics.
#ejdansu #MathsWithEJD #FastMathSolutions #RandomVariable #Variance