Suppose that X and Y are independent random variables with density functions and √ 2 e fx(x) = { 0 -2x - J4ye -2y 10 fr (y) = { if x ≥ 0, if x < 0, if y ≥ 0, if y < 0, Find the density function of X + Y for z > 0.

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A: Given information: The number X is chosen at random between 0 and 1.  fx=11-0,…

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A: f(x,y)=127×(x2+xy); 0≤x≤1, 0≤y≤1

Q: (a) fxy(x, y) = (b) fyx (x, y) =

A:

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A: Check the solution in the explanation.Explanation:Check the image below for a detailed solution.

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Q: Sk(x + 4y) ,0 <x < 2, 0 < y < 1 ,otherwise Let f(x,y) = be the joint probability density of X and Y.

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A: Solution

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A: Find E(y) and V(y)

Q: function given by

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