Answered: 1. For any random variable X for which…

1. For any random variable X for which E(X) and E(X²) are finite, show that Var(X) = E(X²) – [E(X)]² = E [X(X – 1)] + [E(X)]²

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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1. For any random variable X for which E(X) and E(X²) are finite, show that
Var(X) = E(X²) – [E(X)]² = E [X(X – 1)] + [E(X)]²

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