Let the event A = {Y ≤ 0.36}. Find the conditional PDF (and the range) of Y given A and the expecte value of Y given A. Please provide the solution step by step.
Let the event A = {Y ≤ 0.36}. Find the conditional PDF (and the range) of Y given A and the expecte value of Y given A. Please provide the solution step by step.
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 1CR
Related questions
Question
![Continuous random variables X and Y have the following joint PDF:
£2.5 x²,
10,
f(x, y) =
-1 ≤x≤1, 0≤ y ≤r²
otherwise.
Let the event A = {Y ≤ 0.36}.
Find the conditional PDF (and the range) of Y given A and the expected
value of Y given A. Please provide the solution step by step.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fae9facf5-659d-4ea2-95a4-472b11aa4444%2Faa8cb047-8b87-4e02-9a60-777de5d865f3%2Fq98csuc_processed.png&w=3840&q=75)
Transcribed Image Text:Continuous random variables X and Y have the following joint PDF:
£2.5 x²,
10,
f(x, y) =
-1 ≤x≤1, 0≤ y ≤r²
otherwise.
Let the event A = {Y ≤ 0.36}.
Find the conditional PDF (and the range) of Y given A and the expected
value of Y given A. Please provide the solution step by step.
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Follow-up Question
i think in step 3 marginal of
in the question -1<= x <= 1 and 0 <= y <= x^2.
could you check?
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