Problem 4) Let X be a continuous random variable with f (x) as its pdf and u as its mean. Prove that: (x – H)²f(x)dx = Lx²f(x)dx – u². %3D
Problem 4) Let X be a continuous random variable with f (x) as its pdf and u as its mean. Prove that: (x – H)²f(x)dx = Lx²f(x)dx – u². %3D
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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Transcribed Image Text:Problem 4) Let X be a continuous random variable with f(x) as its pdf and µ as its mean. Prove that:
(x – H)²f(x)dx = Lx²f(x)dx – u².
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