5. Let U ~ U[5, 10] and let X = I5,7) (U) be the indicator function of [5, 7) and let X, I15,7+1/n²)(U). Prove that X, → X with probability one. %3D

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.4: Graphs Of Logarithmic Functions
Problem 60SE: Prove the conjecture made in the previous exercise.
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5. Let U
U[5, 10] and let X
I15.7) (U) be the indicator function of [5, 7) and let Xn
I15,7+1/n?)(U). Prove that X, + X with probability one.
Transcribed Image Text:5. Let U U[5, 10] and let X I15.7) (U) be the indicator function of [5, 7) and let Xn I15,7+1/n?)(U). Prove that X, + X with probability one.
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