Continuous random variables X and Y have the following joint PDF:nx²,-1 ≤ x ≤ 1, 0 ≤ y ≤ x²f(x, y) =otherwise.Let the event A = {Y ≤ 0.36}.Find the conditional PDF (and its range) of X given A and the expectedvalue of X given A. Please provide the solution step by step.

Let X and Y have a joint density function

Answered: Continuous random variables X and Y…

A First Course in Probability (10th Edition)

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