If X is a random variable satisfying any e > 0, there exists a bounded ran P[X #
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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![6. If X is a random variable satisfying P[|X| <∞] = 1, then show that for
any e > 0, there exists a bounded random variable Y such that
P[X #Y] < €.
(A random variable Y is bounded if for all w
|Y (w)| ≤ K
for some constant K independent of w.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9f549bc-8ce1-49a3-9830-8294d3be4e64%2F3084524a-50df-450e-b938-e8302a500ef4%2F9zf7i4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6. If X is a random variable satisfying P[|X| <∞] = 1, then show that for
any e > 0, there exists a bounded random variable Y such that
P[X #Y] < €.
(A random variable Y is bounded if for all w
|Y (w)| ≤ K
for some constant K independent of w.)
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