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Let X and Y be two continuous random variables with joint probability density function ?(?, ?)...

Let X and Y be two continuous random variables with joint probability density function

?(?, ?) = { ? 2 + ?? 3 0 ≤ ? ≤ 1, 0 ≤ ? ≤ 2 0 ??ℎ??????

Find ?(? + ? ≥ 1). Sketch the surface in the ? − ? plane.

Math   Statistics-And-Probability   
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Answer #1

the problem is solved using concepts of bivariate probability distribution and Fubini's theorem.

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