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

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.4: Hyperbolas
Problem 5ECP: Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.
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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.
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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