Problem 2. Let X be an RV with E[X]: μ and Var(X) = 0². Let c be an arbitrary number. Show that = E[(X — c)²] = (µ - c)² +σ².
Problem 2. Let X be an RV with E[X]: μ and Var(X) = 0². Let c be an arbitrary number. Show that = E[(X — c)²] = (µ - c)² +σ².
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 18E
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![Problem 2. Let X be an RV with E[X] =μ and Var(X) = 0². Let c be an arbitrary number.
Show that
E[(X-c)2]=(c)² +σ².
Think about what this means (no need to write it down).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6fb406b3-dfb5-4d65-a424-9ec71ae4c6de%2F77985270-3a26-498b-84e7-80d33ea0fcc7%2Fqirp51n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 2. Let X be an RV with E[X] =μ and Var(X) = 0². Let c be an arbitrary number.
Show that
E[(X-c)2]=(c)² +σ².
Think about what this means (no need to write it down).
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