Show that if U and V are random variables with respect to F and AE F, the function defined by W(w)= JU (w) [V(w) WE A we A is a random variable with respect to F, and give an example to show that this need not be true if ACsuch that AF.

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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D5
Show that if U and V are random variables with respect to F and A E F, the function
defined by
WE A
W (w) :
w¢ A
is a random variable with respect to F, and give an example to show that this need not be
true if A CN such that A ¢ F.
Transcribed Image Text:Show that if U and V are random variables with respect to F and A E F, the function defined by WE A W (w) : w¢ A is a random variable with respect to F, and give an example to show that this need not be true if A CN such that A ¢ F.
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