Continuous random variables X and Y have the following joint PDF: [1x², -1≤x≤1, 0≤ y ≤ x² otherwise. f(x, y) = to, Let the event A = {Y ≤ 0.36}. Find the marginal PDF (and the range) of X. Please provide the solution step by step.

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Continuous random variables X and Y have the following joint PDF:
ŋx²,
f(x, y) =
=
Let the event A = {Y ≤ 0.36}.
step by step.
0,
-1 ≤ x ≤ 1,0 ≤ y ≤ x²
otherwise.
Find the marginal PDF (and the range) of X. Please provide the solution
Transcribed Image Text:Continuous random variables X and Y have the following joint PDF: ŋx², f(x, y) = = Let the event A = {Y ≤ 0.36}. step by step. 0, -1 ≤ x ≤ 1,0 ≤ y ≤ x² otherwise. Find the marginal PDF (and the range) of X. Please provide the solution
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