If X is a continuous RV, prove that E(X) = [1- F(x)] dx – F(x) dx. %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 12E
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If X is a continuous RV, prove
E(X) = | [1 – F(x)] dx – [ F(x) dx.
Transcribed Image Text:that If X is a continuous RV, prove E(X) = | [1 – F(x)] dx – [ F(x) dx.
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