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.
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.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 43CR
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Question
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbc1a4721-e508-4b83-b4b1-5f6019ea6bc7%2Fa85693ee-9d5c-4514-88b5-6179dd025644%2Fjfp338_processed.jpeg&w=3840&q=75)
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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